evolution: from atom to man

Abstract.  What is life is the ultimate question of the humind (ab. human mind) search for meaning as a5D time§pace organism. If we knew what life is perhaps we wouldn’t waste it so easily.

In this post of the section on 5D ‘stiences’ subdivided in the 3 great disciplines of knowledge – physical, social and biological systems, we shall respond to that rather simple question showing through the process of topological evolution of timespace organisms common to all beings from atoms to humans to galaxies, how indeed life at individual palingenetic and and evolutionary level we became what we are from atom to man… in a travel through the fifth dimension that lasted 3 billion years, and now will conclude in a single relative quanta of the life of this planet – a human single generation… Since the Universe is wise and the equation of death, S<<T, is extremely fast, lasting the life of a single ‘cell’ of the super organism: 3 days in a human corpse, a single cell of Gaia, the life of a human being in planet earth. As…

‘Life is a worldcycle across 3 scales of the fifth dimension’.

So we shall first define with 5D metric the equation of life and death, the world cycle of spacetime that all systems of the Universe follow.

And then show in terms of DEEP time, that is of the planes of existence of the fifth dimension, how the specific form of time-space, we call a human being, evolved according to those metric laws in a journey of 3 billion years from the simplest atoms to the superorganism of mankind in time, history, whose full understanding corresponds to social stiences; hence to the next post of this brief account of the ‘4th paradigm of stience’ – the age of organicism, where we shall study also how to make History Immortal.



I. Biology¡‹|3|. From atoms to civilizations: the deep time evolution of carbonlife.

Coda: Death – its 5 phases.


I. Biology¡‹|3|

This post will introduce 5D² Biology. We shall put together the Ðisomorphisms of the 3 MAIN ∆±I planes of biological systems, the biochemical/cellular, organic/thermodynamic and ecosystemic planes, which defined the main biological systems, whose range is within the closest ∆0 and ∆±1 scales of human and similar life, from the molecule to the socio-biological ecosystems and super organisms.

Ultimately though all systems of Nature are biological systems, beyond the human definition of Biology as the science of our closest space-planes, with the systems more akin to our systems – the only ones defined as living systems. Yet by essence, humans are self-centred beings, which do only (ego paradox) give vital properties to biological systems.

For those reasons biology is the most complete of all sciences as the closest in observation, and the one which Humans don’t censor. 

So it describes carbonlife systems with all the languages and tools of thought, including mathematics and it considers its 5 Dimensions in great detail:

0-1D: genetics and palingenesis (∆-1>o).

1-2-3D:, evolution theory (S, st, ð ages) (∆o)

5D: ecology and organic theory (∆o>+1).

To which we ad topological biology, expanding morphology; and theory of supœrganisms, expanding social evolution, which are the main ad ons we make to the discipline:

Topological evolution and theory of super organisms complete Biology solving some key questions of the discipline (punctuated evolution, eusocial evolution).

Originally this post included all the work on all the scales of biological systems (cells, life, humans, gaia and our super organisms) but we have moved part of its content to  the 4th line. Some day humans will put together back all those scales for a referential book on biological systems, explained with all the vital Ðisomorphisms of space-time super organisms, which present biology ignores.

Here we shall only comment on the main laws of the 3 classic scales, cells, organisms and ecosystems relating them to 5D² S≈T symmetries, adding some themes of the extensive new sciences of topological evolution and theory of supœrganisms.

Human social sciences as biological systems.

To notice also that HUMAN SOCIAL STIENCES are purely biological, as machines are evolving organisms of metal, and its company-mothers, its structure of re=production whole Historic civilizations are social super organisms of citizens cells. And so in the posts on History and Economics we approach those ‘abstract’ or anthropomorphic disciplines with the same laws than biology.

The only exception are the ∆0 study of the peculiar languages of the humind (temporal music, spatial art and space-time wor(l)ds).

Yet given the extraordinary extension of human information about our social organisms I transferred most of the social and linguistic and economic analysis of the super organisms of history and economics to a separated web ( In this web we broke social sciences further into a 3rd category, because human mental languages (the I=eye-artistic spatial languages and temporal wor(l)d languages) are better explained as reflections of the laws of the ∆S≈T universe (notably music, the best temporal language of S=T motions along algebra/analysis, and painting the best bidimensional language of spatial information).

LET US THEN consider a specific way to explain Life, in a post that must by force being limited. We shall the consider the ‘guiding view’ of the ‘Rashomon effect’ of multiple ‘perspectives of reality’ (Space, time, spacetime, scalar, linguistic perspectives: S,t,∆,@), the scalar view.

We will then describe how according to the scalar and ternary s≈t laws of the Universe described in the first post, life has evolved from the atom to the human being; across the 3 fundamental scales of living beings, the biochemical cell, the thermodynamic super organism and the gravitational ecosystem of planet Earth:

In the graph, the basic laws of fractal, cyclical space-time, the Universe co-exists in 3 planes of relative size in space and speed of time clocks, which defines a super organism; and in each plane ensembles the 3 conserved quantities of reality, which we call the 3 ‘first dimensions of space-time’: lineal motions (limbs/potentials: lineal momentum), cyclical motions (particle/heads: angular momentum) and its body-wave combinations (hyperbolic energy)

The 3 dimensions of space-time in a single ∆-plane.

Let us start then to build reality with the 3 dimensions of space and its motions in time, we shall also called arrows or cycles or actions of space-time. In the next graph, a first hint to how the 3 ‘vital dimensions of space-time’ ensemble into parts and organic wholes in all physical, biological and social systems; since there are only 3 topological forms (geometries with motion) in the Universe. So evolutionary topology the expansion of topology proposed in this form is the key discipline to understand how the species of reality are created and destroyed: In the graph we see from a spatial, simultaneous, formal perspective, ensembled into 3 type of physical, biological and social space-time organisms, the 3 ‘form of space=functions of time=topological varieties of space-time in the Universe’.

We see the 3 first dimensions when doubled in function, divided according to the ‘discontinuity of the fractal Universe’ and perceived as lineal maximal motions-functions in limbs/potentials and maximal informative storages in spherical heads/particles.

It is important to notice that fractal ensembles of the 3 topologies of space-time in a single pane are diffeomorphic, relative to the larger ∆+1 world in which they are embedded. So the brain of plants are its chemical roots, as they work on chemical information. The brain of animals in their eye-brain system as they use a nervous electronic system that absorbs light information; which for plants is their energy for its planar, flat leaves; while electronic repulsion is the engine of our flat leaves – feet. So a careful study of the 3 topologies of space-time (2D) or 3 dimensions (1D: informative height, reproductive width and moving length) will allow us to establish the ternary, ‘generator equation’ of all biological systems:


To express that ternary topology in a concise dynamic way, we use the ‘Generator equation’ which includes all the main asymmetries, symmetries and anti symmetries of the ternary elements of a world cycle of time, an organism of space and its complete scalar timespace super organism:

The generator is thus the simplest formula, which includes all the main asymmetries, symmetries and anti symmetries of the ternary elements of a world cycle of time, an organism of space and its complete scalar timespace super organism:

The generator equation defines the Universe as a fractal sum of timespace super organisms, extended through 3 ∆±1 relative scales of space-time, ruled by 5D metric equations that render constant the product of the size in space and speed in time of the clocks of information of any system of Non-Æ points trough the 3 scales in which is possible to travel as an ‘existential being’, in the fifth dimension performing a world cycle. Since for a dimension to exist, there must be a co-invariant quantity, which allows its travel, S x T = K becomes the metric equation of ‘exist¡ence’. Its  constancy is also the origin of the organic nature of reality as it allows the symbiosis of a system through its 3 scales. The travel of existence can also be viewed topologically in a single plane, in which an organism ensembles and exchanges lineal momentum, energy and cyclical momentum. So we can define all systems as an ensemble of  lineal limbs/potentials that perform its lineal momentum, organised as herds of ∆-1 micro points (quantum atoms, cells) in superposed additive groups that move the system and dominate its young relative past age. Its second conserved quantity being its vital energy, distributed through  3 ∆o iterative, physiological networks, which define the organism proper able to iterate its form into a dynamic present system (thermodynamic matter, or multicellular organisms in physical and biological systems)… finally guided by a relative future particle-head that holds the linguistic mind or relative future survival will that guides and synchronises with its clocks the system as a whole in the external ∆+1 world; where it will perform 5, aeiou actions of ‘existence’ gauging I-nformation, to a-ccelerate=move towards a field of e-nergy in which to feed, to reproduce into an offspring of clones to evolve socially into a larger universal ∆+1 new plane or superoganism of 5Dimensional space-time actions parts, before it exhausts its vital energy, stops moving and explodes back into its entropic parts in its big-bang death. So we can define its 5Dimensions in time through its worldcycle of generation, from its ∆-1 seed that reproduces, evolves and emerges into the ∆º scale in which it will act with its 3 dimensional networks, the 1D point/head/particle, that moves in 2D planes to feed with 3D energy.

Spheres that hold the maximal volume of information in particle-heads; flat, lineal topologies – the fastest distance in moving potentials/limbs – and hyperbolic, iterative body waves that generate all the forms, are the 3 only topologies of the Universe, which ensemble to form the ‘present-spatial super organisms’ we see in each ∆-scale of reality:


So this is the second ternary spatial element of reality:

|-moving limbs/potentials  x O-head/particles = Ø-body waves

This is the simplest expression of the FRACTAL GENERATOR of space-time beings, as all of them will display those ternary topologies.

It is its simplest spatial view, which we shall made soon more complex adding it its time-motions-functions and scales generated by the minds that perceive in the singularity a still mapping of the whole with a language that perceives in itself.

o Swe can generate and mirror all the systems in space, made of ensembles of those 3 adjacent forms/functions we shall call space-time organisms with them.

We shall write THE TERNARY topology also in many ways and make it increasingly complex as we study different dimensions of ‘form’ and ‘motion’, of ‘space’ and ‘time’. But in its simplest mode is the most extraordinary simplex equation of them all: $≈ð; whereas S is the limbic system, T, the particle-head with its clocks of information and ≈ the bodywave that iterates and puts together both.

Let us then consider briefly the symbols for the Generator Equation of t.œs and its 5 Dimensions.

@>∫T: $t: (limbs/fields of motion and Universe) < ∑∏> §ð<<S∂ (still mind form or world).

So the 5 Dimotions (ab. of dimension in space and motion in time) that create the form and function of all systems and its parts, between its generation by a mind-seed and extinction in entropic explosions are:

  1. Ði: Informative particles/heads: §ð
  2.  Ð: limbs/potentials: momentum: $t.
  3. Ð: ∑e x ∏i: body waves: ∑∏.
  4.  Ðimotion: entropy: S∂.
  5. Ðimotion: Organic evolution: ∫T.


Those dimensions then define a world cycle of existence between the fourth dimension of entropic death and the 5th->0th dimension of social evolution and emergence into a new being (palingenesis in biology).

This structure of 3±1 Dimensions of spacetime is all what we need to define reality as it is, for any scale or system of the Universe, including biological systems.

As it is explained in the first post of the blog we shall just consider how its ‘generator equation’ will create all kind of super organisms. So if we have a general representation of the Generator, for example, viewed in its time-motion-worldcycle as:

∆-1 (o-1D): palingenesis< ∆º: $-2D:lineal motion/limbs≈3D∑∏:iterative body>1D:head <<∆-1: 4D:entropic death…

What we shall show in this post is how scalar evolution of parts into wholes through ternary ensembles of limbs, bodies and heads, has made reality grow and construct the living species of the Universe… as all laws of biology can be deduced from the Disomorphisms of 5D2.

Let us make then a basic introduction to the duality of fractal organic space, and cyclical time arrows and its world cycles which are the only needed elements to obtain the Disomorpshisms that applied to biology will allow us to classify and explain the whole evolution of life from atom to ecosystem and super organism, further extended into socio-biology through memetic and cultural super organisms and eco(comic)systems.

So when we add the dimension of entropic parts and social evolutionary mind-languages, we can complete the ‘symmetry in time’ of the super organism in space. And with that simple duality S≈T, we just have the basic elements to fully understand biology. Let us then see the world cycle in the different scales of reality, with an special emphasis on the worldcycle of species, which biologists call ‘horizons’, which requires to understand as the ‘final element’, the different speed of the clocks of time of those scales or metric equation of the fifth dimension:

4-5D Metric equation that allow  TERNARY co-existence of TIME§PACE organisms

So besides the 3 space dimensions ≈ 3 time dimensions (seen as still in space, as moving in time) we do need to consider at least 2 more dimensions, one for the lower scales of the being, which we shall call the fourth dimension of absolute past and one for the upper dimension of the being of absolute future.

But also all systems co-exist in 3 scales of the 4th & 5th Dimension: the ∆-1 atomic/cellular, ∆-organic/thermodynamic and ∆+1 gravitational world:

In the graph the metric equation of the 4th and 5th scalar Dimensions of space-time (ab. ∆±i), which order all entities of reality in scales according to the size and different speeds of time clocks of its systems is very simple: $ x ð = K, the relative size in space and speed of the time cycles of a being remain constant.

And so according to Klein a space-time new dimension is defined, upwards and downwards with slightly different entropic and informative properties – hence two dimensions are needed. And an organism can co-exist since WE CAN TRAVEL THROUGH THOSE DIMENSIONS, SLOWING DOWN OUR CLOCKS AS WE GROW IN SIZE, FROM CELLS TO INDIVIDUALS, TO SUPERORGANISMS AND SOCIETIES, and viceversa we can accelerate information in smaller spaces. Reason why those scales are symbiotic, organic.

And so chips code larger machines, genes larger humans and human memes larger societies, because they’ve have faster clocks of time.

And then their superoganisms, which are all slower wholes enclose the smaller parts, with a membrane to take advance of them and provide vital energy to them, with its 3 physiological networks.

So we define all those systems as super organisms in space, made of cells and the 3 Dimensional, physiological networks of smaller, faster parts:

The next graphs show the 3 arrows of time in a single plane, as physiological networks that process motion, reproduce the system and inform it and below the ternary scales of life and its parallel quantum, thermodynamic/magnetic and gravitational scales.

In the graph, the constant invagination of reality up and down through networks of entropy, energy and information constructs ever more complex supœrganisms as the summit of the process of efficient selection of topology (classic evolution, 3 time-space arrows) and the more complex social organic evolution of scales through topological networks, never fully understood as Darwin was prior to biology and topology.

How then can we put together the scales of the Universe in which smaller parts, become wholes, and the three arrows of topological space-time which define the form≈functions of the beings of the Universe? It is quite simple, and it is called topology, the most advanced form of geometry, in which forms are created with networks of points connected in different open and closed and branched, fractal forms.

As in fact you can reduce topology to lineal open, entropic forms (limbs/fields), branched, hyperbolic, body-wave forms and closed cyclical, fully connected, informative particle/heads forms. Thus reality is is the constant creation of those three physiological networks, in which form and function become one, and the symbiosis of the three networks creates a supœrganism.

So we shall find that all systems become ternary physiological, symbiotic networks, of open points (limbs/fields) of motion, closed cyclical networks of information and intermediate hyperbolic, branched body-waves, constantly exchanging ‘open motions’ and informative closed motions that transform into each other ad eternal.

This metric becomes then the ‘organic metric’ that allows the world cycle of beings to be expressed as A TRAVEL THROUGH THE FIFTH DIMENSION BACK AND FORTH between a quantum, biological genetic or memetic seed and a super organism:

So we can define a world cycle of life and death of ‘existence’ as a travel through 3 planes of the fifth dimension, STARTING WITH THE PALINGENESIS, of a seed of information or memetic mind…

In the graph, life can be considered a trip through 3 scales of the scalar Universe (fifth dimension), as all systems are born as a fast reproducing, evolving 0-1D time seed, which will follow 5D metric equations of spatial growth and deceleration in its time clocks, as it growth in Space-size (Spe) and diminishes its speed of time clocks (ðiƒ), emerging in an ∆+1 world in which it will travel much slower through the 3 ages of life, and then return back to its ∆-1 cellular state, forming a ‘whole world cycle’, which at each stage can be viewed simultaneously as a supeorganism of space-time.

Below 3 seeds in its starting travel that shall create a shower of particles that become organic atoms by reproducing, a shower of cells that become a living being by reproduction and a shower of believers whose memetic ‘DNA’, the verbal book of revelation will be repeated to create a super organism of history or subconscious mind of a religious civilization:

We do have then mathematical and verbal, logic mirrors to express those 5 dimensions of space-time, the ultimate substances and unify with them ALL SCIENCES, departing from the properties of those dimensions its structures in space and travels in time, each ‘stience’ of space-time studying an scale, including those who describe man: 





In the graph, the extraordinary capacity to explain the meaning of the fundamental laws of biological, physical and social systems (which we normally escape in the examples for sake of simplicity and due to the obvious incapacity of): animals accelerate their circadian and metabolic cycles as they become smaller, but the product of its volume in space and time clocks remains invariant.

So happens with planets who enclose a proportional volume of space with its orbital clocks, and any physical system, which accelerates its frequencies/temperatures/speeds but its ‘actions’  – the fundamental unit of physical systems, product its energy ‘volume’ and time ‘frequency’ remain constant.

We are always dying into entropy from our initial seed of perfect form.

Now the consequences of those metric equations are many. The essential one is TO UNDERSTAND that reality starts in a lower ∆-1 scale of MORE PRECISE INFORMATION AND LESS ENTROPY, which will code larger scales by reproducing massively and reorganising the being. So life as we enlarge, becomes less precise and finally the parts will detach from each other and provoke the 3rd and fourth age of entropic death. So we can establish a general arrow of the existence of beings, but ordering the 5 space-time dimensions in a sequential world cycle of life and death, which always starts in the ∆-1 seed of perfect more information, going down as we live, even if the mind of information expects, fights and decries any form of entropy and disorder. 

The smaller faster systems of the fourth dimension code the larger ones, who enclose them into a singularity-membrane ‘whole’ system that make sense of it. So we have the five dimensions, in a nutshell. Below we order them in space first and then its symmetry in time:

In the graph the Universe has 5 dimensions of space-time, which are the dimensions we need to build all realities. 3 Dimensions of space-time which are the canonical dimensions of length, width and height and its perception as motions=function in time; and the two ‘lost’ dimensions of the scalar Universe; the dimension of pure time motions, when ‘wholes desegregate into smaller faster parts’ (4th dimension of entropy) and the inverse 0-1 dimension of pure space-form, which creates from a seminal or linguistic form the whole.

The result of adding both – the life and the death processes – in any system or scale of reality is a ‘zero-sum’ of information+entropy that cyclically returns reality to its initial form, in a dynamic, multiple steady state balance that affects any entity of reality. The study of that process of creation and dissolution of complex structures, however, cannot be made with translational time, (v=S/T), the realm of physics, but it needs to understand biological, morphological time – the life/death cycle and its 3±1 ages. Those ages explain precisely what physicists, stuck in the study of time as movement in space, will never understand: the meaning of the life and death cycle that creates and extinguishes humans, societies (super-organisms of human beings) and all kind of beings that exist in space and time. In biological time all universal species follow the same ‘morphological changes’, described by the wisdom of verbal thought as the 3±1 ages of life, each one ruled by one of the 3±1   change=time:

+1: Conception:  ruled by social evolution, as a micro-organism or cell transcends into a macro-organism, organized by social networks.

1st age:                  Youth or Age of energy.

2nd age:              energy and information Reproduce.

3rd age:                All energy becomes information.

-1:Death:               The inverse of conception when the super-organism dissolves back into cells.

In the graph we describe that law of 3±1 ages, cycles, or horizons of evolutions for the fundamental species of reality. To understand that cycle in depth, we have to recall the Law of Complementarity between energy and information: all systems are made with a body/field of energy and a head/particle of information.

Further on, since form is made with energy, all events must start with an amount of ‘simple’ energy that transforms itself into information, the only other primary direction/arrow of time to go. Then, when all energy is consumed, warped into information, death reverses its cycle. Yet in the middle of that cycle, when information and energy are in balance, to preserve the ‘bio-logic’ form created in that process, the system achieves its reproduction.

And so the ‘offspring’ of the being will carry on its information into the future. Information never disappears as it always recreates itself.

All beings, from fundamental particles, (electrons and quarks) to human beings and life species, reproduce or are reproduced by more complex systems, when they have extra-energy to imprint its in-form-ation. Since forms that do not reproduce, die away and become extinct. So even those deconstructed beings that cannot reproduce alone are reproduced by other species. For example, cells reproduce carbohydrates, galaxies reproduce stars and human reproduce machines in factories. Thus, we talk of 3±1 drives, arrows or ages of existence in all systems: the drive for body energy, the drive for information, the drive for reproduction and the drive of social d=evolution (birth and death of a macro-organism). Whereas the 3±1 ages of Organic Time are merely the order in which those 3±1 drives ‘accumulate’ during the life/death cycle of any species.

In a young first age, energy is more abundant. In the mature age of balance, the species reproduces, combining energy and information. In the third age of the species, energy is scarce but information is abundant, accumulated in the first ages.

Young people are full of energy. They are in the Energy horizon of the species. They are bigger, have little temporal knowledge. They are simple in form. While Old people are full of information. They are in the information horizon of the species. They are smaller, as all information systems are and have a lot of temporal memories. They move little and have a lot of wrinkles.

Mature people balance the two elements of the organic Universe, their content of energy-space and temporal information. So they can reproduce all their components. Hence the 2nd age is the age of reproduction. And the forms of any being in that mature age are a harmonic, an efficient combination of energy lines and informative cycles that we perceive as ‘beautiful’, the objective perception of harmony between energy and information, lines and cycles. So in all organisms the mature, realistic, classic age of balance, or reproductive age, is the most perfect age. Human beings intuitively see that. We like balanced, spiral galaxies, mature people and realist art, which is called classic art and takes place in the mature age of civilizations.

Yet, the dominant arrow of time, information, will finally exhaust energy, warp totally the organism and bring its explosive death. And the cycle will start again.

It follows that a true science of life and time will try to maintain any organism in its age of balance, without excessive information. Exactly the contrary of what our society does. Since humans accumulate scientific and technological information towards a point or ‘singularity’ in which that information, in the form of a robot or artificial intelligence, might extinguish us.

In the graphs, we illustrate those 3±1 ages with a few universal examples, also from social sciences: we see the process in individual human beings, in art, the collective brain of a culture; in matter, where those ages are called the states of matter – energetic gas, reproductive liquid and informative solid.

Finally in the Universe, where stars evolve from an age of energy into an informative age as black holes.

So do galaxies that evolve from energetic nebulae into Black Holes, which explode into quasars. Finally, if the network of galaxies we call the Universe was truly born from a first seed of matter that fed and reproduced its form in the energy of the vacuum; it will go through 3±1 self-similar ages described by the 3 solutions to Einstein’s Space-time equations. Since all in the Universe is a game of ‘3’ dimensions or ages of time: past, the age of energy, present, the reproductive age in which all systems repeat themselves to keep their ‘present form’ beyond death and a 3rd age, when all energy is exhausted, trans-form-ed into form, information:

Informative galaxies balance entropic dark energy, when we apply the laws of the scientific method, WITHOUT REDUCTIONISM OF THE ELEMENTS OF REALITY.

Thus WE CONSIDER, as big-bang theorists do (limiting time to a single entropy arrow, limiting space to a continuous spacetime, limited to study ONLY interstellar space and discharge implosive galactic vortices), the Universe is eternal and big-bangs are likely only galactic big-bangs as Fred Hoyle wanted, which release dark entropy through the axis of black holes and expands space, balanced by the constant contraction by gravitational forces of space into mass.

What big-bang theories miss is the ‘fractal structure of the Universe’, which allows it to wobble – that is while entropic intergalactic space expands, and they got it right with its equations, AS THE SPACE-TIME of the Universe is fractal, this is compensated by the implosive, informative only attractive gravitational warping of galaxies towards central black holes. So the world cycle of galaxies compensates the entropic death of quasars. In the next graph we see the ‘missed’ 3 ages of life-death of galaxies into dark, heavy dense matter, which shrinks the Universe.

So we can define it as an eternal, immortal Universe:It is then clear that when a galaxy dies, as a quasar, or when the black hole, emits pure space accelerated through its axis, interstellar space expands and we see that as a redshift but in the plane of the galaxy, slowly vacuum space collapses into denser particles, shrinking space-time. Ergo there is no need for a cosmic big-bang, a hyperbolic exaggeration created using a lineal equation ‘Vhod’ moving it to a remote past of which there is scanty evidence, as we show when studying in detail the theme in our posts on astrophysics. 

The 3 evolutionary horizons of species.

The 3 ages of time also brings the solution to the ‘limits’ of evolution, which Darwin already wondered: why certain species evolve so fast into complex forms as eyes and wings. Answer, because there are only 3 topologies to go, and so the choices are random but LIMITED and it is every easy to go the right way. In the next graph we see those 3 ages of evolution as species can be treated as super organisms with its own world cycles:

The graph thus show that ALL species follow also the young, predator, reproductive radiation, and informative, height growth of the 3 ages of life, and then either they evolve further into social organisms (ants, bees, humans) and as wholes in a higher ∆+1 scale survive better, or they become extinct by a new generation.

The creation of a new species takes place according to the same 3 ages of any space-time field that become the 3 horizons of any species: after conception that creates ‘a seed’ of pure information and minimal spatial energy, species go through a young age of energy growth that creates ‘big species’; a mature, reproductive age of forms in balance between its energy and information when the species maximizes its reproduction, radiating in huge numbers; and a third horizon of informative evolution when it diversifies into multiple sub-species, becoming finally extinguished, (the equivalent to the death of any organism), or creating a new top predator form, a ‘son species’ that will restart a new cycle of life.

+1:  Birth: max. T. The black hole paradox (conception).

The ‘black hole’ age of any species is parallel to the informative, genetic conception of any organism born out of a ‘seed’ that packs the maximum genetic information in the minimal space. It is caused by the slight dominance of temporal information (quantic time) over spatial energy (quantic space). So a new top predator species is born with a lot of new, genetic information packed in a reduced size (Max. T=Min. E). This happens because information is processed faster in smaller spaces.

For example, a ‘logic instruction’ is resolved faster in smaller chips. It follows that tiny species with huge numbers of ‘neurons’ create quantic actions faster than slow, bigger species. And since they are highly informative, they can coordinate those quantic actions in herds that act simultaneously as a single organism. So their S-T force that defines a top predator is higher in each quantic action of space-time that the ‘slow actions’ of a big body. Thus small English boats shooting faster against big galleons defeated the Spanish Armada; a pack of wolfs kill slow reins and herds of orcas kill bigger whales. Small, intelligent top predator brains rule bigger, less informative bodies, because time dominates space, information dominates and shapes energy.
Thus men, the most informative animals, are the Earth’s top predators; black holes, which have maximum gravitational information, are the top predators of the Universe and chips rule machines.

I Horizon: Energy Age: max. E: Top Predators and Extinctions 

In their youth, carbohydrates (fats), worms (planarians), echinoderms, cephalopods, fishes, amphibians, mammals and chipped machines grew into energetic, lineal or planar, big top predators

A newborn, small foetus grows very fast in size as it multiplies its cells. By homology a new species is born as a small, informative, complex being that latter grows in spatial size during its energetic youth becoming a, lineal, energetic, big top predator species, that feeds on less evolved forms.

Thus after conception, young fishes grew into big sharks of linear forms; after the polemic Homo Floresiensis invented technology the next Homo Sapiens with an extensive fossil record were big, energetic Neanderthals;the 1st big molecules of life were fat carbohydrate chains of linear form; the 1st insects acquired soon gigantic bodies in the Carboniferous; after chips were born as small machines placed in PCs and toys, the first robots they control are big tool-machines and huge weapons of mass destruction, lineal missiles and planes, that kill human beings.

 II Horizon: Evolution or Age of balance and reproduction: max. Sp x Tƒ. Radiations of species.
Then, the species finds a balance between form and energy and it reproduces in massive radiations: carbohydrates gave birth to amino acids with a nitrogen, informative atom on its ‘relative Head’; sharks gave way to balanced tubular fishes; brachycephalic Neanderthals gave way to dolichocephalic Cro-Magnons that multiplied and colonized all continents; while young giant stars acquire the balanced size of yellow suns, the commonest of all stars.

III Horizon: Evolution or Age of information: Max. Tƒ: max. Evolutionary differentiation.

Species grow in height or acquire cyclical forms, as they evolve through their 2nd and 3rd horizons, improving their sensorial, informative skills: Nucleotides become the top predator life molecules, echinoderms change to cyclical forms, fishes organize their networks in the dimension of height, amphibians become round, improving its smell, saurian and mammals become biped.

The main difference between organisms and species happens in their 3rd age, due to the discontinuous nature of the individual ‘cells’ of species, which do not become extinguished unlike the tightly controlled cells of organic systems, dominated by nervous, informative systems that exhaust and warp totally their energy, till the organism collapses.

Instead species continue evolving, creating new, complex species with more information, growing in the dimension of height. So the Homo Sapiens evolves ever more complex technological tools; the nucleotide appears when it adds informative depth to the amino acid (with an informative, nitrogen ring and an energetic sugar ring); the yellow sun becomes a neutron star of higher gravitational, informative density; while insects develop a growing brain capacity and bees and ants appear.

(±∆): Extinction Vs Evolution into super-organisms. The scales of the Universe.

Thus, organisms dominated by their informative networks, which consumes the energy of the system very fast, die sooner than species, according to a clock set by the rate at which energy is metabolised, ‘in-formed’, by their nervous system. While species, which are dominated by the individuals and the herds survive for eons with 3 basic strategies according to the ‘ternary plan’:
– Max. Sp: Creating balanced, trophic pyramids that maintain always a supply of new victims.

– S=T: Diversifying their individual forms into new species, instead of ‘degenerating’ into a warped space-time field. It is a parallel strategy to the reproduction of an organism, which in this manner survives his own death. Thus we talk of ‘son species’ that create evolutionary, genealogical trees similar to those of any organism.

However son species tend to kill-extinct the mother species, feeding on their energy. We call that fact, the Oedipus paradox. So mammals killed reptiles, men killed mammals and robots might kill human beings. While the different generations of an organism work together, creating informative networks between them that shape herds and families.

– Max. Tƒ: Species also evolve socially their individual forms into super-organisms, thanks to the creation of informative networks and languages that integrate them into a whole, bigger form, which is more powerful than the individuals of a herd.

Organisms are dominated by informative, nervous or hormonal networks that pack closely individual cells of max. information in min. space; while species extend over wider space ecosystems in which they share a min. quantity of information, as individuals of species hardly relate to each other beyond the reproductive couple or the hunting herd. And yet, both go through the same 3 ages of space-time defined by the inverse properties of the energetic youth  (max.S=min.T) that defines the herd and the informative old age (Max. T=Min. Sp) which defines the organism.

Hence we consider that the creation of super-organisms is the final evolutionary stage of a herd of individuals from the same species: each individual of the herd becomes then a ‘relative cell of the body’ of the macro-organism. While the specific language of communication and information of the species becomes the relative nervous/informative network of the super-organism, as pheromones do in anthills or nervous impulses did with cells in the Pre-Cambrian ageor financial and verbal languages are doing among humans in History.

So evolution is indeed limited by the most iterated elements of reality and this blog (: those 3 timespace motions/forms: lineal motion in space or ‘distance’, implosive motion that becomes cyclical time clocks carrying its frequency ‘information’ and its space-time, wave-like, reproductive energetic combinations. They were understood in Asian religions as yang, yin and qi-energy. They are the only 3 topologies of space-time possible in a 4D or 5D Universe (when we ad its scales), so they assembly forming all space-time beings.

The generator equation.

All this becomes the basis for the generator equation, which classifies all systems through the ternary co-existing symmetries of 3 planes of existence, 3 topologies of space and 3 ages of time.

As all systems are composed of 3 space-time topological formal motions, which construct the being and we write with the ‘Generator equation of space-time organisms’ as a ternary logic equation:

Γ: ∆-1: cellular seed: ∑>∆º: $t (potential fields/limbs of lineal motion) < ∑∏: iterative energetic body-waves>§ð: informative particle-heads <∆+1 5D world<<∆-1: entropic death.

Now the way we order them within the generator, will be the key to the diversification of species, as in topological linguistics and classification of phyla in biology, from insects where the reproductive blood system comes first to mammals where the informative, nervous system dominates. And indeed evolution will always be topological evolution.

The ternary elements of the generator, if we were to use a mathematical jargon will be the ‘fundamental formal group’ of reality, whose combinations become variations and species ‘allowed’ by reality, which we shall try to embed within a 5D generator, fractal equation, whose iterations will create reality. But we shall NOT follow the dogma of mathematical physical popes of reducing biology to mathematical statements, void of the essence of biology – its vital, topological and survival program. So the final element of all organic systems is indeed the understanding of the program of survival made of ‘actions’ which expands in opposite fashion the vital ‘drives of life’, to ALL SYSTEMS OF NATURE:

Actions: the program survival, its five quanta.

It only rests to consider the minimal unit of time world cycles, which is an action that exchanges, scattering entropy, lineal motion, balanced energy, implossive information and social evolution based in a common language of information with the Universe.

We divide them into:

simplex individual actions, a-motion, e-nergy feeding and i-nformation gauging and

Social complex actions, offspring reproduction and social evolution from individuals into Universals.

The first $ dimensional action of steady motions, accelerations and decelerations, ï the information action, which is dual (as most), since we might absorb information in perception or emit it in communication, œ, the second dimensional action of organic reproduction, into an offspring of beings, and û, the 5th dimensional action of social evolution of parts into wholes.

I have put the 5 åctions, Å=(æ,œ,ï,ø,û) with symbols that resemble the five vowels. And so as we have 3 scales of growing spatial form we have 3 scales of growing time cycles:

∑∑åctions=∑time dimensions (physiological networks and its functions) = Worldcycle of life and death (time view)

∑∑cellular/atomic/citizens parts = ∑matter states/organisms/nations= super organism (planet, ecosystem, Humanity in space, History in time).

It is essential for a full undertaking of the Universe to realise then that the 3 ‘scales of time’ and ‘space’ are coordinated together, through space-time actions which combine in the 3 scales both space and time and give birth to the 3 ‘levels’ of reality, where the ‘slower rhythms of time’ correspond to the larger organism, connected to the OUTER world, the inner time clocks are those of the physiological constant networks and the fast beats those of the minimal actions as the being start its stop and go, s-t beats. So synchronicity  based in 5D metric of faster clocks of information in smaller systems is a huge part of the complex theory:

A smaller faster cell reproduces information over energy and it does it every day in tune with the feeding habits of most animals, which reproduce themselves every month in tune with the original fishing high ties for amphibian eggs and/or similar theories will then RELATE the whole Universe in its scales, as a perfect organic game of multiple clocks, which in each specific science will explain the interconnected Universe from Broglie’s Bohm’s pilot-wave theory of a synchronized ternary system of clocks in physical systems, through biological clocks to astronomical galacell synchronicity.

For example, the rhythms of your mind are external to you – THOSE OF THE WORLD YOU SEE, then the rhythms of the 3 physiological networks produce synchronous present clocks, as in you rlimb-meter step, second heart body beat, second glimpse, thought (even in physics as in De broglie realisation of the synchronicity between particle, wave clocks).

So the equations of mathematical physics as all other languages relating all beings can be accommodated in the dimensions, motions, actions and ternary structures of 10D. In the next graph we show the minimalist parameters, which are corresponding to the minimalist ‘actions’ for both of the components of the humind, light and electrons; and the the humind, with its 3 present parts and the second time beating and its actions, similar to those of biological beings. Then we show the 3 scales of history, the super organism of mankind in its 800-80 rhythms:

In graph we see the actions, space and time view and cyclical human>civilisation (super organism) life span of 80-800 cycles necessary to describe the supœrganisms of history.

ABOVE, the coding of actions, which are the knots and bolts and details of the study of any time§paœrganism in light space-time, coded by colours and dimensions, in physical atoms, coded with quantum numbers and in life and humans coded by the so called drives of life, which we obviously extend beyond the ego paradox to all other systems, including genetics not mapped there (coded by the 4-5 letters). Those actions balanced each other into zero-sums in death, as they tend to increase information from a mind pov, hence we ‘all warp, wrinkle’ get old in the third age and die, setting from its minimal actions to its integral sums, the 3 ages of life-existence and the world cycle all super organism follow.

Of course the subject of biology is huge. Today it is mediated as everything by the new digital mind species and so everybody is working in genetics, with its ternary codes and social ternary groups of codes that code larger roles on super organisms, so that will be paradoxically the part we shall study less, though IT IS OBVIOUSLY PLUGGED INTO the ∆-1>∆º speed of time clocks that carry more information, proper of the 5th dimension that makes it possible, and ternary games of codons…




So we shall start from the simplest ternary ensembles of atoms, where the entropic/moving oxygen ($t), the iterative carbone (∑∏) and the informative nitrogen (§ð) clocks, connected to the ∆±1 world through its ‘H-eyes and kicking legs’ shaped the first ‘molecules of life’; and so we write the Generator equation of bio-chemistry at its minimal scale, in terms of functions and dimensions:

∆-1: Hydrogenated water (kicking legs) > ∆º: $-oxygen > ∑-Carbone>§-Nitrogen+H-eyes<∆+1 water world


Topology: from C, O, H atoms to amino acids.

In the smallest scale the molecular ‘bricks of life’, CO2, H20, CH4, (Methane) and NH3 (Ammonia), shown in the graph are, as it happens in the geological world, crystalline structures. Yet they are far more malleable and complex than solid crystals, because they exist in liquid ecosystems. In those simple life molecules Carbon, Oxygen and Nitrogen are the Top predator central atoms that capture and surround themselves with weaker Hydrogen atoms, which act as carriers of their relative Entropy and information, creating the external ‘membrane’ of their molecular structure with the dominant atoms as the central st-point. Let us consider those functional forms in more detail:

  • ∆-1 scale of ‘bits and bites’: Hydrogen atoms act either as the basic bite of Entropy, in its H+ form, becoming the pumping bomb of most cellular motions. So in the energetic reactions of AMP<->ATP, H+ ions act as the bomb. So they do in the motion of protein rotors in membranes. They are used by Oxygens in COOH groups that kick water molecules and set carbohydrates in motion. Thus they act as an energetic limb that the oxygen atom expels or attracts in alternating cycles that displace the molecule through water.
  • When attached to atomic structures, CH1,2,3 or NH1,2,3 systems in amino acids and nucleotides the H atoms should act as ‘feelers’ that integrate electromagnetic messages in a first ‘electronic orbital’, which should allow the central P.O.V. to ‘sense’, processing electromagnetic Entropy into Van der Waal forces of information Thus the simplest organic molecules studied as st-Points have:

– ∆-scale: A top predator N, O, C atom occupies an hyperbolic center, surrounded by Hydrogens, which form their bodies and limbs that process the Entropy of the water medium (Max.E), in which the molecule lives, or creating for the central atoms of life a molecular, external ‘electronic orbital cloud’, which acts both as the ‘energetic membrane’ of the atom and redirects the information of the external world, that will become the virtual world of the central atom, as regular ‘crystals’ do with their submissive atoms.

In the next scale of social organization those 3 elemental particles of life, N, C, and O will become themselves the 3 fundamental zones of bigger ‘i points’, called organic molecules:

Those 3 organic atoms define the 3 dimensional arrows of time in life organisms:

-O is the atom of §ð lineal motion, given its high electronegativity that allows it to attract and repel other atoms with easiness, and its dual H-valences, which conform a lineal topology normally with a single H feeler and the second valence used to join the Carbon chain. Further on it tends to appear in the alkaline, ‘attractive’, ‘positive’, informative, 7.2 PH of the cell – natural to all implosive, informative systems, charged with ‘negative’, expansive topology.

– C, the atom of structural reproduction, as it has 4 handles for further union. It tends to appear neutral, as it corresponds to ‘body-systems’ that combine an informative, implosive, positive topology and one energetic, expansive, negative (in ionic terms). As most bodies is ‘blind’ mainly connected to other inner body-head-limbs part of the molecular organism, or a ‘bilateral’ H, deploying in amino acids the ‘width’ dimension.

– N, the atom of information, which appears in the 7.2 PH of cells and the head of amino acids as a positive, informative, NH+3 head, with 3 dimensional hydrogen slave atoms that carry the ‘bites and bits’ of Entropy and information to the nitrogen.

Let us then consider those 3 atoms and some of its functions in bigger carbohydrate chains.

– Max.I: The informative element of all life molecules and fractal part of its relative ‘heads’ are Nitrogen atoms. Its informative character is shown already in the crystalline ammonia, where Nitrogen is the dominant vertex of a tetrahedron shaped with 3 more Hydrogens. Since we live in a 3-dimensional world, those 3 arrows allow the Nitrogen to have a more perfect informative ‘perception’ of the world we live than the scarce, lineal perception of the Hydrogen, or neutral bilateral structure of C-chains. According to its informative function, ammonia is a perfect atomic clock in which the Nitrogen vibrates constantly back and forth through the hole shaped by its 3 hydrogen ‘eyes’, with an informative cycle of +1016 times a second. The first atomic clocks were in fact based in that simple molecule due to the accuracy and speed of frequency of its temporal vibration, which in life molecules allows NH+3 heads to ‘inform itself’ and regulate with its cyclical clock motions the ‘guided motions’ of the ‘carbon’ body and Oxygen legs of the molecule.

– Tiƒ≈Spe: The structural atom that creates the rigid body structures of life molecules is the carbon atom. It has the maximal number of valences – 4 orbitals that create dual bondages with 2 other carbons – constructing long, formal ternary chains of great structural rigidity. As such it is the most visible, intermediate form of all life compounds. And so biologists, due to its ‘visibility’, have traditionally considered it the ‘fundamental element of life’. When we ad Hydrogen atoms to complete its ‘crystalline’ body we obtain methane the simplest molecule of life. Then when we join 2 carbons with dual bondage, we form ethane, which already acts as a hormone, (±reproductive molecule) inhibiting the structural growth of plants.

– Max. E: Finally, both the ∆+1 world and site of future Entropic death of all life systems, its medium, is water, which fills the ‘external world’ in which life feeds and internally becomes in complex living organisms called cells, the filling Entropy of the intermediate space, enclosed between its carbon-based protein & fat walls and the inner, informative, nitrogen-rich, ADN hyperbolic singularity. Water is the simplest, most abundant ternary molecule of the Universe, made with 2 slave hydrogens and 1 dominant oxygen – the atom that has the maximal ‘electro-negativity’ after fluorine. Thus, oxygen can capture the electronic body of any other atom. That is why the oxygen components of carbohydrates enact its energetic cycles, moving those organic molecules within the water ecosystem. Since they stomp on water, breaking it and creating expansive and implosive 0H, H± ions that impulse the molecule; as you walk on the floor, ‘stomping’ on the electromagnetic fields of the ground or as a fish moves, hitting the water with its tail.

Numerical proportions.

The proportion of the 3 atoms in living systems reinforces this classification, according to the GST proportions between the ‘Entropy, body, head’ classes. For example in a human being the proportions are: 67%, O+H molecules and atoms, 23% C+H molecules and atoms and 6.5% Nitrogen+H systems, which are in the usual range of ±2/3rd of Entropy components, -1/4th of body components, and -1/10th of head bits, proper of most systems in the Universe.

We could also consider as essential atoms, the carriers of neuronal orders, the implosive, positive, informative Ca2+, K+ and Na+ ions, which again form a triplet of diminishing ‘informative power’ and define the potentials of electricity between neurons and the rest of submissive cells and so add up to a 2.1% of human body mass. If we add it to the 6.5% of Nitrogen brings the number to 8.6% of mass, closer to a -1/10th per cent of the informative ‘class’ of all organisms.

Those and other oligo-elements, of a higher scale of atomic complexity are essential to mark the ‘differences’ of power of certain molecular systems ‘pumped up’ in Entropy or information by their addition. Most of them however have an ‘energetic’ role (iron in heme groups and cytochromes, copper in reptiles, Magnesium in chlorophyll, phosphor attached to oxygens in AMP systems, Cl to balance the K+ electronic bomb and S with 2 valences in anaerobic breathing and some molecular bridges.

This responds to a fundamental law of all efficient, healthy organisms, which is to maintain the informative, atomic, head structure of the system pure, without ‘leukemia’, without the interference of an alien language to the system. Since the main sickness of systems is to become trapped by an alien informative species, for whom they will enslave, as it happens when viruses substitute cellular DNA by their own. This is exactly what humans have failed to accomplish when they substituted their natural, biological, verbal, ethic language by gold hypnotism, an informative language of metal whose values are against those of life and have completely changed the route of history.

Recap. Nitrogen heads, carbon bodies and oxygen Entropy create the simplest life beings, amino acids…

Topology: From carbohydrates to cells.

In the next graph, the glycine is the simplest active life form with 3 st-zones:

– Max.I: The nitrogen head directs the glycine.

– Tiƒ≈Spe: A dual carbon creates the first rigid ‘membrane-body’ of life with its strong, covalent bondage, joining the head and tail:

– Max. E: Its oxygen COOH tail ‘walks’ on the water, breaking, attracting and repelling its OH-, H+ radicals.

Amino acids show their complex, reproductive and social arrows, catalyzing through their movements the replication of new amino acids and forming social chains, called proteins.

The inverse properties of st-amino heads and e-oxygen tails make possible the creation of long chains of amino acids in which their nitrogen heads bite their oxygen tails becoming neutralized as part of a complex social structure: the protein.

The nucleotide improves upon the amino head, carbohydrate body and oxygen legs of the amino acid, adding to those 3 lineal forms a dimension of informative height; as latter will occur in macro-organisms, when flat worms become cylindrical. So the amino acid head becomes a dual nitrogen ring, the body becomes a sugar and the tail multiplies its oxygens around a highly electronegative Phosphoric acid. The outcome is a nucleotide acid (right side of next graph) – the top predator life molecule, which evolves socially all others into the next st-scale of life, the cell.

The 3×3+(∆+1) horizons of social evolution of life.

Biological organisms, as physical organisms did in their growth from atoms to galaxies, evolved in 3×3 horizons of increasing social complexity creating the 3 ±i scales of life: the age of molecules, the age of cells and the age of multi-cellular organisms, specialized in Entropy (plants) or information (animals).

Let us study those ages in more detail, further differentiating them in 3 sub-ages according to the Ternary principle.

Since if we apply the law of the 3±∆ Ages to organic molecules we can explain how they grew in informative complexity and spatial size till acquiring the form of living organisms, in a process similar to the evolution of particles that created the cosmological bodies of the Universe.

Those 3±∆ evolutionary ages of life, each one sub-divided in 3±∆ sub-horizons, are: the young age of molecules, the mature, longest age of cells and the ‘recent’ age of living organisms, which will end with the creation of a global single organism, Planet Earth (∆+1):

The 3±∆ ages of molecules.

– ∆-1: The atomic age: the simplest chemical molecules of life are formed. The 3 simple atoms and molecules of life recombined its energetic, reproductive and information functions and grew, forming bigger chains thanks to its atomic affinity, acquiring more complex ‘vital properties’. The simplest combination of them, the CNO molecule, urea, is considered the first molecule of life and its ‘crystallization’ in a lab, departing from non-living atoms, was considered the birth of biochemistry and the prove that life is an atomic system that shares the same properties of any other TiƒxSpe system of the Universe.

– Max. E: The Entropy age, dominated by lineal, long, simple fats, huge carbon chains with oxygens attached to its ends.

– <=>: The amino acid age: COOH, methane and ammonia, the 3 simplest life molecules of the triad of life atoms, O, C, N, combine as the relative Entropy, reproductive and informative organs of amino acids. Amino acids reproduce exponentially in the primordial organic water soup and evolve socially into proteins.

– Max.I: The nucleotide age. Nucleotides, the informative molecules of the life, add an informative dimension of height to lineal amino acids, forming nitrogen and sugar rings. They dominate all other carbohydrates. Soon they will also evolve socially into huge chains called nucleic acids.

∆+1: Social age. Nucleic acids, the macromolecules of life with max. Exi force, integrate socially all other carbohydrates in herds of vital molecules, creating the cell, the following ∆-scale of life.

The 3±∆ ages of cells.

– ∆-1: The previous 3±∆ horizons of evolution of molecules brought the first cells.

– Max. E: The age of RNA Protista. The Entropy age of the cell is dominated by the simplest RNA Protista, whose ternary st-structure is based in: an external protein membrane; a series of ‘convex’ spiraled RNAs, the singularities that directs the cell, and an internal, intermediate water zone, the cytoplasm, where the cell reproduces its specific Entropy and information – thanks to the free ‘Entropy’ of water radicals – with the instructions given by those RNAs. Those Protista reproduce massively, exhausting the organic elements of the life soup. Then it comes:

– <=>: The Age of DNA Protista. It is the balanced, mature age of Protista. Dual RNAs peg together to form informative DNA rings, which store new genetic information that permits further growth and differentiation of Protista, according to new, improved 3 st-regions:

Entropy membranes invaginate the cell with a tubular network, the Golgi apparatus and protect the still DNA with a differentiated nucleus membrane; while new, specialized organelles perform the Entropy and information processes of the intermediate zone, creating reproductive Mitochondria and Chloroplasts.

– Max.I: Informative age and differentiation: The Eukaryotic age. Informative DNA cells multiply its genetic memories, while RNAs differentiate into a triad of forms that increase in the intermediate space-time the reproduction of membranes and proteins, creating giant cells. They cannibalize and enslave smaller, symbiotic cells, specialized in the dual arrow of Entropy, (mitochondria and chloroplasts) and information (ribosomes). Those who absorb chloroplasts become algae; those who feed on mitochondria become animals.

– ∆+1: The biggest eukaryote animals are amoeboid cells that evolve faster, informative, electronic languages using heavier metal ions, K* and Na, to send their messages to other cells through their membranes. The nervous language allows simultaneous cellular actions, creating mobile multicellular organisms called animals. While slower chemical languages that use ‘hormonal vowels7’ put together unicellular algae into plants.

Let us consider the evolution of animals:

3±∆ horizons of evolution of animals: network’s organisms:

– ∆-1: Conception. Electric cells create multicellular organisms in control of all other cells, gathering in 3 physiological networks – neuronal, muscular and glandular=digestive systems that perform the informative, reproductive and energetic cycles of the organism as a macro-living st-point. The sequential dominance of those physiological networks creates the 3 ages of life – the energetic youth, reproductive maturity and informative old age – and the 3 horizons of evolution or ‘main phyla’ of multicellular animals.

– Max. E: The Entropy system -a central digestive tube- dominates the 1st horizon of multicellular organisms, occupying the central zone in 3 sub horizons of formal evolution: the age of sponges, the age of hydras and the age of worms, the first bilateral animals created around a tubular, lineal digestive system that moves in the dimension of length.

– <=>: Worms develop blood networks based in metallic carbohydrates that carry to each cell of the body its oxygen Entropy, food quanta and the dual hormonal orders of the brain: reproductive orders and ‘killing orders’ performed by amoeboid leukocytes. Thus, as blood networks increase the efficient control of fractal cells, animals grow in size, starting an age of massive sea life speciation. Today we still have 90% of the genes of those worms.

– Max.I: Life jumps a fundamental discontinuum, when the first mollusks become insects and the first fishes become amphibians, colonizing the Earth. Their sensorial and nervous systems become overdeveloped in the new environment that has a higher transparency to informative light. Land animals specialize their 3 networks to the new medium in 3 sub-ages: the age of amphibians, which still reproduce in water, the age of reptiles and the age of birds and mammals, dominant in visual and nervous systems that ends with the arrival of Homo Sapiens.

∆+1: Homo sapiens develops a new informative language, the word, evolving into historic super-organisms, civilizations and economic ecosystems that grow in size till reaching a global dimension.

Recap. Biological organisms evolved in 3 horizons of increasing social complexity creating the 3 ±i scales of life: the age of molecules, the age of cells and the age of multi-cellular organisms, specialized in Entropy (plants) or information (animals).

The Entropy age: 3±∆ Simple molecules.


In the graph, a glycine, the simplest ‘organism’ of life or amino acid with its self-similar form to a small mammal, with a nitrogen head, a carbon body and its oxygen legs. And the two fundamental species of complex molecular life: a nucleotide, dominant in information, attached to a sugar body and phosphoric acid and the detail of a protein body; the most reproduced species of the system. Lineal fats that store Entropy become the 3rd essential topology of cellular life.

The first age in the evolution of life is the age of simple molecules. Water became an organic soup filled with ammonia and simple chains of carbon, among which we highlight:

– Max.E: Acids and fats. They are headless, without nitrogen heads – a long, lineal limb of energetic carbons with oxygen legs on its extremes. They will become the fundamental Entropy of cells.

– Max.I: Sugars add an informative, cyclic dimension to headless fats. They are carbohydrate hexagons evolved socially in long chains, through oxygen connections, called polysaccharides.

Amino acids: TiƒxSpe functions and evolution into proteins

The 3 life molecules, ammonia, methane and water, create the spatial structure of glycine, the simplest amino acid which resembles an animal, with the positive charged nitrogen head (amine), the negative charged Oxygen tail (carboxyl), and a carbon body chain that fusions together the 2 extremes, creating the i-logic ‘generator equation’ of amino acids:

Oxygen legs(E) <Carbon body (TiƒxSpe)> (I) Nitrogen head.

st-points adapt their morphology to the dimensions and directional movement of their specific environment. Thus, while a still cell is cyclical, moving life molecules are lineal forms in which the nitrogen ‘head’ is upfront to absorb information & Entropy in the direction of movement; the structural carbon membrane is in the center; and the Entropy cycles are performed by the oxygen tail that moves on the water:

– Max.I: Informative cycles are directed by its ammonia ‘clock’. Nitrogen vibrates across its Hydrogen triangle, perceiving and transferring electromagnetic information elaborated as Van der Wall forces to its carbon body that orientates the molecule in a chosen direction.

– Tiƒ≈Spe: Reproductive and social cycles: A rigid carbon chain can peg to its sides by affinity (3rd postulate of i-logic geometry) other carbon structures that latter might split, reproducing new glycine or might stick together, shaping new species of amino acids.

-Max.E: Entropy Cycles: The oxygen moves the molecule, propelled by the dual polarity of water.

– Social and Transcendental cycles: Their social evolution gives birth to macro-molecular proteins.

– Existential, generational cycles: The purpose of those molecules is to exist, performing their organic cycles.

Thus, after the birth of amino acids, Earth witnessed a massive replication of glycine, which soon diversified in all kind of sub-species that pegged to the original glycine new pieces of carbohydrates bodies, nitrogen eyes and oxygen legs. Thus the organic soup became an ecosystem of top predator amino acids that catalyzed the reproduction of new amino acids, absorbing the simpler molecular ‘nutrients’, till amino acids saturated the Earth’s oceans. Then those different amino acids associated in complementary st-herds, in which specialization occurred again, as some amino acids were designed better to gather Entropy with extra oxygen legs; some had extra nitrogen heads to process information and some were long carbon chains better suited to split, peg and reproduce new amino acid pieces. Thus we can easily classify amino acids as informative amino acids, with ring structures filled with Nitrogens; energetic amino acids, with added Oxygens – Phosphors and sulfurs, atoms with high ‘electro negativity’ that are able to capture energetic electrons; and reproductive amino acids with long carbon chains.

Social evolution of amino acids: the protein age.

Amino acids in their social stage of evolution became, according to the inverse morphological isomorphisms of transcendental evolution, the ‘relative Entropy’ of new macro-molecular proteins. So they lost its ‘active’ heads and tails, pegged now to each other, as the ‘fixed’ neutralized st-points of the protein’s spiral structure; where the active parts are radicals joined to the central carbon of the amino acid. Those bulky, seemingly unnecessary radicals that hindered the motions of free amino acids show its true value in proteins. (This often happens in evolution, which requires first mutational, inefficient stages that reorganize into functional macro-systems thanks to the directed ternary systems created by fast, planned evolution. If all were chaotic, slow Darwinian mutations most mutations would not survive long enough to transcend into useful new organs, as Darwin already noticed it, studying wing evolution. Thus transitional stages are a proof of ‘∆-volution’.)

Proteins are huge carbon chains that fusion the fractal actions of those radicals with many oxygen legs and a few nitrogen eyes into a simultaneous present of Max.IxE force. They are like centipedes, entities with simple perception but a fearsome Entropy that allows proteins to cut and kill all the micro-molecules of the life ecosystem. So they became the new top predators of the original carbon soup, probably chasing down free amino acids to replicate themselves.

Finally, lineal proteins evolved further, according to the inverse isomorphisms of transcendental, social evolution, forming self-replicating hollow membranes with cyclical, still forms, which nucleic acids will latter fill and dominate, creating cells. Indeed, the protein’s simple minds made their top predator status short living when the 3rd informative horizon of molecular life, the nucleotide, evolved.

Informative age: Nitrogen bases and Nucleotide acid.

In the previous graph, we show the final, informative age of life molecules, which occurred when the amino acid evolved its lineal, simplex 3 st-regions adding a new, informative dimension and creating the 3 globular zones of the nucleotide:

– Max. Tiƒ≈Spe: The improved body is called a sugar that has, instead of the carbohydrate’s zigzag line proper of amino acid bodies, a pentagonal form, a powerful compact body cycle that appears in all scalar morphologies. Further on, the sugar pentagon adds one lateral oxygen’s rudder that can chain or unchain itself to other sugar rings through easy to break oxygen bridges. So the reproductive speed of the new nucleotide’s body based in the capacity to peg and split its body increases.

– Max. E: A nucleotide tail adds up a highly energetic, phosphoric acid (PO4H3) that has more oxygens than the amino acid’s original COOH tail and so it swims better in water. The heavier phosphor is also a nitrogen-friendly atom, from the same 3-5 valence electronic column. So the head improves its control of the tail and its energetic oxygen atoms.

– Max.I: Finally the Nucleotides’ heads add up new nitrogens, creating cyclical, hexagonal rings, called Pyrimidines, which once more diversify in 3 subspecies: Thymine, Uracil or Cytosine…

– Uracil is lighter. So it is the brick for building highly mobile social nucleotides called RNAs.

– Thymine is heavier, since it has one more carbon, while Cytosine adds Nitrogen with 2 Hydrogen ‘antennae’. So they are the bricks of DNA, the most informative, still molecule of life.

Finally the most complex nucleotide heads are Purines: dual, pentagonal and hexagonal nitrogen rings, joined by a strong covalent C=C wall that form dual couples, called Adenine and Guanine, which add an external nitrogen antenna with 2 Hydrogen eyes to probe the unknown world.

So the globular structure of Nucleotides also creates more evolved social forms, the RNA and DNA acids that will control protein membranes in the cellular scale.

If structural bodies dominate amino acids and proteins, the dominant element in Nucleotides are their nitrogen heads. They become the unit of the social, informative languages of cells, playing a key role in all their informative tasks, as the main elements of most hormones and the fractal units of macro-molecular DNAs, which will create the higher, cellular scale of life forms.

Bases express the 4 arrows of time in life. Some basic rules

Now we have come to a key element of the program of life, the existence of 4 based, which will codify the creation of superorganisms of cells. Why? We have again and again show that each super organism requires a language able to express the 3+1 arrows/dimension of space-time existence, the program or will of the Universe. It is easy then to observe that the 4 bases represent a new whole game of existence, as the 4 dimensions of space-time do or the 4 quantum numbers, or the 4 drives of life, and since function is form, just looking at those bases we can deduce that:

The simplex arrows are expressed by simplex Pyrimidines (single cycle)

  • Uracil and thymine with more oxygen are the energetic drive expression and complex genetics show this to be the case, as they are more abundant in functions and genes related to energetic systems.
  • Their informative head is adenine and as such is the dominant base of the system. It has a Nitrogen higher mass and a nitrogen head with 2 antennae. It is the head of the ATP systems that command as small molecules the game of proteins and most orders of actions in the cell. Both the simplex body T and head A assembly together by affinity and complementarity

The complex arrows are expressed by dual Nitrogen cycles:

  • Cytosine is the balanced dual molecule. Hence the reproductive arrow. And indeed, when it is uncovered in the DNA loosing its cover it allows the expression of genes.
  • Guanine is therefore the 4th social arrow and the base that brings the next scale.

This simple scheme of the 4 dimensions of life languages is determinant for fully understanding the whys of genetics, which now are only described at the level of the 3rd paradigm (how-description).

Example: Receptors of complex, external orders.

Consider the case of the GDP and GTP molecules. Their function is essential to the transmission of orders from the higher scale of neuro-hormonal messages that regulate the superorganisms of cells. 60 % of all external signals to cells are transferred through the activity of Guanine, the social nucleotide, activated through the G-protein channel. As such the GDP/GTP molecule is the ‘boss’ of intercellular communication, as the ATP molecule is the boss of energetic communication.

The ATP in fact in conjunction with the energetic Tyr amino acid (with an extra oxygen), and the energetic Phosphor atom, works with the second most common membrane messenger, after the G-protein channel, two poles that become activated by phosphorilization, bringing to them ‘hungry’ proteins that become energized and provoke signals for energetic and reproductive arrows. (Remember that simplex informative and complex social evolution are the two related arrows of temporal information, most associated, and the complex reproductive and simplex energetic arrows are the tandem associated to energetic space). Thus the receptor called Tirosincinasa is also related to the cinasas, which are the enzymes that provoke the energetic mitosis and death of the cell. This examples shows how the emergence of the properties of smaller scales are always transcendental, social evolutions of one of the 4 arrows of time, the will or program of the Universe that maintains the self-similarity of scales.

Let us consider the ternary differentiation of this molecule, ATP, as it is the key to the energetic force that propels and makes possible the cell.

The age of nucleotides: ternary differentiation of species.

So after the age of Amino acids and proteins, there was an age of Nucleotides, which differentiated again according to duality in 2 subspecies: One rich in Entropy, the other richer in information:

– Max. E: The energetic Nucleotides are ATPs, the key molecules in all energetic life processes. Breathing and feeding could not happen without ATP, the specialized Entropy Nucleotide that again subdivides in 3 subspecies, which can be identified as the energetic, balanced and informative ATP:

– Max. E: ATP proper – an Adenine nucleotide with a longer tail with 3 Phosphors and 10 oxygens, ordered in a classic decametric, 3×3+(∆+1) scale: each phosphor controls 3 oxygens, and the 10th oxygen connects them to the sugar body.

– Tiƒ≈Spe: ADP, which has lost 1 phosphor and 4 oxygens (an HPO3 molecule) releasing in the process 34 KJ of Entropy, balancing its form with less Entropy but the same Nitrogen information.

-Max.I: AMP, which has lost another HPO3, becoming a cyclical molecule, since the phosphoric tail touches its nitrogen head. So it acts in cellular processes as an informative carrier, transferring hormonal information, amplifying it and programming the cell’s nucleus with that information.

– Max.I: The informative, social evolution of nucleotide acids gives birth to RNA and DNA.

Nucleotides evolve socially, becoming according to the isomorphisms of transcendental inversion between micro and macro planes (I∆-1=E), ‘Entropy cells’ of RNA and DNA spirals, grouped again in triads that form a spiral cycle. Those triplets surrounded by energetic ATPs create genetic scales in groups of 3, 9, 27…

Those 3n elements in turn will shape the structure of 2 new macro-molecular informative species, differentiated according to the TiƒxSpe complementary, dual principle:

– Max. E: Lineal, moving RNAs that carry the actions of the cells, again differentiated in:

– Max. E: Ribosomal RNA joined to energetic proteins that peg the carbohydrate’s pieces.

– Tiƒ≈Spe: Transfer RNA that carries the fractal units that reproduce carbohydrates.

– Max.I: Messenger RNA that copies DNA information and takes it to the Ribosome.

– Max.I: Cyclical, still, informative DNA, made with 2 complementary RNAs, which carries so much informative, genetic information about the metabolic and reproductive cycles of all other carbohydrates that will become the ‘brain’ of the new scale of life, the cell… The nucleotide structure of DNA shows the magic ‘tetraktys’ that fascinated Pythagoras: 1, 2, 3, 4 dimensions that add up into a decametric scale. Indeed, 1 DNA made with 2 RNA chains joined by nucleotide pairs form a structural tie of DNA; 3 nucleotides form the basic informative ‘gene’ to create amino acids; and 4 dimensional bases is all what it is needed to create all the cycles and elements of the cellular game.

Those 3 type of molecular ‘ages’ will become then the 3 ‘topological’ st-forms of the cell: amino-acids become the Entropy bites of the cells along with water, its medium; proteins will create the walls reproduced in its organelles and nucleotide acids will become the informative, perceptive species that run the show.

Recap. The evolution of life molecules took life through its first 3 ages, the age of amino acids, the age of proteins and the age of Nucleotides, the informative, hyperbolic species that will reorganize them all to create the cell.

The social evolution of macromolecules into the cell.image016

In the graph, the 4 basic molecules of life, CO2, H20, CH4, (Methane) and NH3 (Ammonia) adopt the same efficient st-morphologies that crystals have with a central, informative atom surrounded by submissive, spatial Hydrogens that process and send to the center Van der Waals flows of information and Entropy.

The evolution of carbon-life molecules happens in 3 series of growing size, diversified in Max. Spatial Entropy, Max. Temporal Information, and Se=To balanced subspecies.

The Ternary Principle diversifies species and then combines them. So methane, Ammonia and Water combine to give either an informative Carbonamide or an energetic alcohol. Both are evolved finally into a carbon-acid.

Both species again mix in balanced amino acids, to further increase their information and Entropy tendencies adding new Informative nitrogens (bases, porphyries), or adding Oxygen legs (sugars, lipids). The balanced combination, the amino acid with two oxide legs, and one Nitrogen head, evolves into the next level of macromolecules, the proteins.

On the other hand nitrogen bases keep evolving in social rings; while acids add a macro-atom of enormous energetic power, Phosphor to improve its Entropy abilities. Finally sugars form with oxygen polysaccharides.

We have 3 species of macro-molecules in a new E-TiƒxSpe-I game:

– Macromolecules of enormous capacity as Entropy, the Phosphoric acid and other long acid systems (sugars, lipids).

– Macromolecules with structural versatility: proteins.

– Macromolecules of high informative capacity, RNAs and DNAs.

They are the 3 specialized molecules that give birth to the new plane of social existence, that of the DNA-cell.

∆+1: The macromolecules of the 3 previous horizons, guided by the genetic, informative language of nucleotides, transcend socially into the cell; a st-point, in which they will play the same specialized roles they played in the macro-molecular age, creating the 3 st-specialized zones of a bigger, fractal plane of existence:

– Max. E: The external membrane, inner invaginations and cilia are the energetic borders of the cell controlled by lineal proteins, intertwined with long, energetic chains of fats and sugars called polysaccharides, hyper-abundant in oxygen. Proteins become 3-dimensionally warped as units of the spherical membrane with globular, inverse morphologies due to the law of transcendental evolution that transforms the morphology of a form in its inverse form, when it transcends into a higher scale ∑(E∆-1=I). Among those inner invaginations we highlight lysosomes, smaller protein jails that store the excess of energetic fats and sugars, kill carbohydrates or eject them outside the membrane.

Tiƒ≈Spe: The intermediate region reproduces the cells’ Entropy and information: energetic chloroplasts and mitochondria provide electronic Entropy needed to perform the moving cycles of the cell; while informative ribosomes create the materials needed to maintain the membrane and nucleus.

– Max.I: The inner nucleus is the informative center of the cell, filled with cyclical, informative DNA macromolecules and 3 lineal sub-species of RNA, which perform together the orders of the still, DNA brain, creating a simultaneous herd of Max. I x Max. E force that rules all other symbiotic elements of the cell. RNAs control proteins, which act thanks to its energetic strength as the body element of all cells, shaping their hard membranes, killing other carbohydrates and transporting RNAs’ hormonal sentences throughout the organism.

To reinforce their control of those proteins the first RNAs herds might have killed all those amino acids and proteins they did not need. So today there are only 20 surviving amino acids, all oriented towards the left side. Why? According to the multifunctional principle we can consider 3 reasons:

– 20 amino acids form the magic number of 2×10 couples, which allows an efficient division of energetic, informative and reproductive tasks, without redundancy.

– A single orientation in space-time allows all those amino acids to act simultaneously together, multiplying its TiƒxSpe power as a herd, without anyone ‘giving the back’ to the group.

– Since the most efficient reproductive system is the specular, sexual method, in which 2 complementary inverse morphologies gather together, a carbohydrate chain could replicate, as DNA does, by specular affinity, attaching parallel forms to its body structure, creating its specular image twice. So if an L amino acid replicates a D amino acid (a macho replicates a female so to speak), and then the D amino acid replicates an L amino acid , the system becomes a self-reproducing amino acid, free from RNA control. By avoiding the reproduction of D amino acids, nucleic acids control the creation of ‘castrated’ amino acids and proteins. So Nucleic acids probably extinguished D-amino acids to control better the castrated proteins of their cellular farm. Humans also castrate tamed animals; yet amazingly enough they are researching self-reproductive nano-robotic bacteria that might extinguish us, forgetting that reproductive control is a basic tool of any biological top predator.

Recap. Cells are made of energetic amino acids, reproductive proteins that form membranes and informative nucleotides, enclosed in its nuclei.


            In the graph the Topological Disomorphism of cells: Protein are the  ∆-2 lineal molecules which emerge, inverting its form as ∆-1 ðƒ, cyclical membranes. Inside the cell  ∆-2 wave-like Nucleic Acid create the ∑∏-reprodutive element of the cell. Within them  ∆-2 fat carbohydrates become the $-lineal vital energy sandwiched between both. So we can write a generator equation for the cell: $-fat carbohydrates>∑∏-reproductive DNA>ð-cyclical proteins .

Cells follow all the laws of ∆S≈T, and are themselves supœrganisms with lower scales of being. So we can study those lower bio-chemical scales first.

In the left side, the cell has 3 st–zones:

Max. E: It has an external, thin membrane, which in free cells have cilia that move the cell and act-react to external stimuli. In organic cells Entropy is provided by the blood system of the macro-organism. So external cilia disappear and invaginate as lysosomes that kill carbohydrates.

– Max.I: In the center, there is a nucleus of Max.Informative density, filled with cyclical or spiral DNA/RNA’s networks that control the st-point.

– TiƒxSpe: RNAs dominate the intermediate space-time, directing the Entropy organelles, mitochondria or chloroplasts that produce Entropy; and the informative ribosomes that reproduce products, pegged to the Golgi apparatus – a membrane’s invagination.

Youth Horizon: From Prokaryote to Eukaryotic cells.

The previous description of the evolution of molecules requires to change the ‘chip’ of the scientist and accept the tenants of organicism in simple atoms; which so far science has only, according to the Galilean paradox of self-centered perception, accepted for the next scale of life – the cell.

At the beginning cells, called monera, did not have a differentiated nucleus membrane, which means their informative singularity was mainly moving RNA. As evolution continued through the dual/ternary differentiations proper of all TiƒxSpe systems, RNAs split accordingly in 3 sub-species to carry out the specialized Entropy, informative and reproductive tasks of protein control, carbohydrate production and self-replication, through complementary, inverse, specular translation. Then, one RNA, which produced a specular image of itself, probably got pegged to that image and became ‘fixed’, as a still, dual DNA, an informative mirror of an RNA molecule, geared to reproduce it. Accordingly those first DNA molecules acquired the cyclical ring form they still have in all monera.

Soon the extraordinary reproductive growth of DNA cells made them giant cells that exhausted their trophic nutrients. So finally they cannibalized other cells to maintain that reproductive growth. First those cells would be killed and their nutrients absorbed but then some very efficient energetic and informative cells would become slaves within the cell ‘farm’ in a process repeated in all ∆-scales: first top predators are hunters but then informative top predators create farms. So worm holes use herds of stars to absorb intergalactic dust; men use dogs to herd sheep; and monera cells used ribosomes to reproduce informative molecules and mitochondria to absorb Entropy, forming the first macro-cells. Those who ‘ate up’ mitochondria, which produce Entropy from carbohydrate products, would become animal cells and kept hunting other cells to find semi-elaborated nutrients. Those who ‘ate up’ chloroplasts, which produce Entropy from small carbohydrates and light, would become plant cells.

Now the quantity of DNA in the cell grew to add up the DNA of those organelles and its variety of cyclical memories was so vast that it had to pack itself further, changing its bidimensional, cyclical form into a 3 dimensional spiral, and acquiring structures of energetic sustain: proteins that coiled around DNA and a nucleus with differentiated walls that surrounded DNAs. The age of eukaryotic, gigantic cells had started.

Recap. As information multiplied in simple cells, the RNA age gave way to the DNA age whose extra-genetic code should control the evolution of complex multi-cellular structures.

The vital cycles/Actions of the cell.

The cell is a brain-body system constructed with 2 elements, nucleotide acids, based in nitrogen bases and protein bodies based in carbon chains, which are the informative and spatial systems of the cell. Around that TiƒxSpe core duality we find an expansive intermediate, cyclical region with all kind of slavish organelles that perform their Entropy cycles (based in the energetic properties of oxygen, water and similar electronegative atoms); and their informative cycles. Both cycles are catalyzed by denser metal atoms that boost the E/I capacities of carbohydrates. Thus, through the interaction of carbohydrates, metallic ions, proteins and nucleotide acids, cells perform the 3±∆ cycles of all st-points:

Max.E: In an organism, Mg, copper and iron capture oxygen and deliver it to each cell to perform energetic cycles; while in the cell cytochromes kill and split the energetic hydrogen atom into H+ and e ions in mitochondria or chloroplasts; absorbing its spatial Entropy; while metal atoms stabilize protein enzymes.

Max.I: Na and K ions control the expansive and implosive rhythms of the electric membrane, sending informative messages among cells -while RNA and DNA molecules process information within the cell, reproducing new carbohydrate molecules.

– The combined effect of the accumulation of Entropy and information within the cell triggers the reproductive cycle, guided by RNA and DNA molecules.

– ∑: Cells evolve socially into macro-organisms. Yet only the RNA-DNA system creates complex informative, control networks.

– ±i: Cells live a generational cycle chained to an organism that kills them ‘periodically’, or as free cells that die when captured by top predator living beings. Since most cells can be immortal if no other system kills or controls them hierarchically.

All those cellular cycles are not ‘mechanic processes’ but they have evolved departing from the organic, dual, Darwinian and symbiotic interactions between proteins and nucleotide acids, the dominant energetic and informative macromolecules of cells. The most important cycle is the reproductive cycle, which in the cell as in other fractal space-time represents the existential will that ensures the perpetuation of the species. Let us consider it.

Recap. Cells follow the same arrows of existence of all st-points.

The reproductive cycle.


The interphase, prophase, anaphase and telophase complete the reproduction of the cell, in which the centriole, a perfect example of a decametric structure, with 9×2 lineal proteins and a central 2×1 nucleus that controls the lower scale of 9 forms, plays the key energetic role of motion control.

The phases of reproduction of a cell called mitosis (I, 6, 25), are in fact its death period, that lasts the shorter period of the daily life of a cell. It is the genius of the cell to use its death period to split and renew itself by the arrow of reproduction. Yet it can still be defined as a death period, which always means that the E/I fields of the system reverse in time, the energetic, destructive arrow dominates and ends up dissolving and splitting the complex informative brain. So in the cell you can see mitosis as the sudden dominance of the lineal, protein, killing centrioles which are reproduced in excess at the end of the S2 phase or 3rd age of the cells, both at the lower molecular scale (assembly of ctk enzymes) and at cellular scale (centrioles and spindle) and then attack and break in two the chromosomes:

The reproductive cycle of cells shows an evolutionary pattern observed in many dual cycles between 2 complementary st-points of relative Entropy and information, which first confront their energetic and informative inverse forms. But as time goes by often by chance they realize that social, complementary evolution is more efficient than Darwinian, energetic destruction. And so they end up evolving together, following the positive, creative arrow of the Universe. We can hypothesize according to that homology the 3 ages of evolution of the reproductive cycle:

– Energetic, unicellular age: Sexual reproduction probably started as a Darwinian, energetic process of hunting in which lineal, energetic sperm killed the cyclical ovum and learned to host its DNA-code as virus do, in the ovum’s center. Yet as the sexual cycle evolved beyond the energetic, young age of the cycle, the ‘war of sexes’ ended and the cycle moved into a balanced 2nd age.

-Tiƒ≈Spe: Reproductive, ‘colonial age’. Now information was exchanged between both forms, the sperm and the ovum – since sexes are in fact a specialization of species into energetic males and informative females. And a new symbiotic dual form was born. Those forms would start reproductive radiations multiplying the number of cells. So probably sexual reproduction is a key factor in the multicellular explosion of the Cambric age.

– Informative, palingenetic age. Finally, in the 3rd age of sexual evolution the informative female species dominated the cycle, as females have more genetic code (2 complete X chromosomes) and control during pregnancy the reproductive, palingenetic cycle that brings the embryo into a new ‘macro-organic level of existence’. If we observe the family cycle of human couples, women also tend to dominate the couple in its 3rd longer age, as Proust already notice; since information lasts longer than Entropy in time.

In complex organisms a living, reproductive cycle is dual: it departs from the simplex reproduction of a single cell that multiplies. Then those self-similar cells suffer a complex process of palingenetic reproduction that recreates an organism made of billions of cells, departing from that single cell.

Cellular reproduction: a tug of war between DNA and proteins.

Let us consider in this synoptic paper, the simpler process of cellular reproduction, as we have treated palingenesis in our analysis of the 4th postulate of i-logic geometry:

Organic cells reproduce within a day, chained to the symbiotic daily feeding period of the organism that provides them with Entropy and information for that reproduction. Fractal cellular reproduction shows also that duality between positive, organic complementarity Vs. negative Darwinian struggle that either balances E-bodies and I-brains into organic systems or determines their mutual destruction when that balance is broken (death processes, Lorenz Transformations, etc.) In the reproductive cell cycle, the most efficient body proteins – lineal, tubular centrioles – and the top predator, informative DNAs enact an ambiguous struggle between their Darwinian desire of mutual destruction and their need of complementary evolution.

So cellular reproduction is a mixed cycle based in both kinds of relationships in which first the lineal species of cellular Entropy (centrioles, which are long (9+1) x 2 protein fibers with a perfect decametric structure), untie the cyclical species of pure information (DNAs), trying to split and kill them. Yet DNAs, once uncoiled, defend themselves ‘informatively’, creating a new membrane that breaks the centrioles apart into 2 groups, and also breaks the cell creating 2 new ones. We can distinguish several phases in that dual struggle, dominated alternately by each of those 2 forms that involve all the other elements of the cell, directed in their dance by those max.E x Max.I top predator elements or ‘upper classes’ of the cell. It will be a tug of war that illustrates all the geometrical strategies of Darwinian and complementary events between dynamic st-points:

-In the interphase, both top predator substances replicate. The centrioles are outside the membrane, which protects the DNA.

-In the prophase centrioles start their hunting: the protein’s membrane of the nucleus dissolves, exposing DNAs’ chromosomes that become visible preys. As all other universal preys do, from wriggling worms to high frequency rays, from submissive servants to herds of electrons in front of a quark or fishes in front of a shark, chromosomes try now to hide by coiling up, becoming contracted, shorter forms. Then the hunting starts. Centrioles have replicated and now double its fractal action, moving to both sides of the DNA nucleus, forming dual, long molecular chains joined by filaments. So they create a polar field of forces that captures in its filamentous web the self-replicated DNA, as a North and South Pole create together a magnetic force field that aligns atoms or two boats web a net to capture fishes.

-In the metaphase chromosomes defend themselves from the 2 centrioles that throw the ‘hooks’ of their force field, stretching the DNAs. But those chromosomes that have replicated in the earlier interphase evolve now socially in couples of parallel forms, increasing its fractal mass and moving away from the centrioles in a classic protective strategy: They arrange themselves in the equator of the spindle, adopting a Darwinian, perpendicular position, the farthest away from those centrioles. It is exactly the way in which diamagnetic particles that flee from magnetic fields, arrange themselves trying to receive the minimal quantity of force from the North and South Poles of the magnetic field.

-In the Anaphase centrioles counter-attack, splitting away the chromosome pairs.

In the telophase, DNAs find their winning, defensive strategy: They are the informative species that store the genetic code of all cellular forms. So DNAs start to reproduce new membranes in a frenzy till those membranes break the centrioles’ spindle through its middle zone, isolating each centriole and breaking their field of lineal, protein forces. Since lineal, energetic or reproductive beings, like centrioles or ‘magnetic’ fields are, cannot create monopoles. Only temporal, implosive, informative cyclical particles can do that. So the spindle dissolves and the new membrane divides the cell.

Now the system reaches again a balance, as the dual chromosomes and the dual centrioles become again single forms surrounded by a new membrane.

Thus the dynamic tug of war between a protein’s body and a nucleotide’s brain ends up in a draw, creating 2 cells instead of one, which will re-start after a rest period a new interphase process of protein and DNA reproduction. Since the Universe is indeed a game of reproductive radiations, the ultimate will of all beings that want to survive their fractal, periodic death by creating a self-similar ‘present’ form.

A variation of that process required in sexual reproduction, is called meiosis, in which the twin reproduction of DNA and its subsequent destruction of the nucleus’ membrane is provoked by the energetic sperm that enters the ovum, invading, as a virus does, its DNA nucleus and merging its genetic material. So, as it happens in the interphase of a cell, the fecundated sexual cell has 2 parallel quantities of DNA, albeit with different genetic material, coming from the ovule and the sperm. So as the replicating process repeats through the same phases of any cellular reproduction, the final result won’t be an identical cell but a cell that mixes the genes of both, the sperm and the ovum. When besides sexual duplication there is an interphase with chromosomal duplication the final 2 cells will be diploid cells with twice the genetic material of the original cell. This happens only in multicellular organisms, as redundant genetic material is useful to store genetic orders needed for the complex construction of multicellular structures; but it would be redundant in the simple life of a monera cell, which escapes the interphase duplication.

The TiƒxSpe duality of lineal sperm and cyclical ovum extends outside the realm of form and transcends to the upper scale of multi-cellular organisms and sexual characters: the ovum is an informative, cyclical, autotrophic female cell with higher chromosomal content; while sperm is an energetic, heterotrophic, lineal male cell with higher mobility. And we find according to the Fractal Principle, 3 evolutionary types of increasingly differentiated sexual cells: semen and ovum, which are equal in spatial size and temporal form (isogamy); semen that is equal in form but smaller than the ovum (anisogamy); and ovum and semen, which are different in spatial size and temporal form (oogamy), as in human beings.

Those differences between male sperm and female unicellular ovum, latter diluted as their genetic materials mix, reminds us of the differences between unicellular animal and plants, the main dual differentiation of life along its TiƒxSpe parameters that we will study now in more detail.

Recap. Sexual reproduction evolved from an energetic event in the unicellular age into a reproductive radiation and finally into the palingenetic process dominated by the ovum.

Cellular reproduction can be explained as a tug of war between the informative DNA and the reproductive proteins of the centrioles.

Ternary cell’s differentiation: plants, animals and fungi.


The kingdom of life shows in all its beauty the generic process of evolutionary differentiation of any space-time field, along the main 3±∆ dimensions, departing from a 1st singularity, which in the world of life is the Monera phylum – the initial cell, whose ternary differentiation gave birth to energetic plants, reproductive fungi and informative animals:

Max. E: Energetic plants use light as Entropy. Biologists talk of plants as autotrophic cells; still forms like the ovum, which create their Entropy and information quanta from light and water, in any place. So they made their membranes harder and thicker to maintain themselves centered in a territorial, discontinuous, vital space, regardless of what happens outside.

Max.I: Informative animals use light as information. Animals are heterotrophic, moving cells, which feed on other forms. Hence they developed thinner external membranes and cilia, which according to the multifunctional principle differentiated further into increasingly sophisticated sensorial antenna to localize their preys and lineal, moving engine with a master centriole – a ‘protein head’ on its base. So though in a 1st phase unicellular plants were more complex, animals ended up evolving greater quantities of inner, informative RNA-DNA to act-react faster in their unknown moving environments.

Tiƒ≈Spe: Reproductive fungi are organisms that have qualities belonging to both, the animal and plant kingdoms. Fungi feed on dead substances and survive thanks to their maximization of reproductive skills.6

The inverted forms and functions of plants and animals define both species as ‘antisymmetric systems’ ruled by their opposite diffeomorphic parameters of Entropy and information:

Their informative cycle and brain-body dimensions are inverted: plants have their brain down in the roots, since they use light as Entropy; animals have it on top, since they use light as information.

Their energetic cycles are inverted: plants breathe CO2 and produce oxygen; animals breathe oxygen and produce CO2. They also use carbohydrates in opposite ways, since plants foster constructive stillness and animals destructive movements: so plants make sugars the fixed structural element to construct cellulose and starch, their external membranes; while animals use sugar’s oxygen bonds breaking them to breath, liberate oxygen and move the body.

Their social and reproductive cycles are inverted: Animals are hierarchical organizations with a clear class division between informative, ‘upper class’ neuron networks and body cells, while plants are ‘democratic forms’ with minimal differentiation. So plants foster the spatial, reproductive arrow and animals the evolutionary, temporal arrow.

Their generational cycle is inverted: animals have faster, shorter vital cycles, since its temporal language is the faster, electronic, nervous language; while plants have longer life cycles at a lower ‘speed of informative processing’ – since they transmit chemical information through the hormonal system.

Departing from those 2 languages life evolved into a new scale of multicellular organization creating:

– Max. E. Chemical, multicellular organisms, plants that use hormonal languages.

– Max.I: ‘Electric’ organisms, multicellular animals that use the electronic language.

Recap. Plants, animal and fungi, the first 3 kingdoms of multicellular life are a ternary differentiation in e, TiƒxSpe and I species.


In Cyclical Time death is caused by the finite limits of fractal time and space. Death is a clear prove of the discontinuity of space and time. If we were continuous, that continuity of time and space would make us immortal and infinite. Which means that only the ∞ sum of fractal time-spaces or absolute Universe is eternal: the isomorphisms of temporal Entropy, the logos-mind of the Universe do not have and end nor a principle, because the sum of all the transformations of Entropy and information balances a dynamic Reality that never dies, remaining always in a relative, equal present. Reality exists ‘per in secula seculorum, amen’.

Only reproduction guarantees certain immortality, recreating our form in other region of space. Yet in all species the rate of reproduction also goes through 3 ages, and so when reproduction halts, not only the ‘cellular’ individual but the species of the ‘higher plane’ dies:

Big bang phase: A new species multiplies very fast departing from a 1st individual.

Steady state: Its reproductive rate stabilizes.

Population Crunch: Finally it slows down to a halt, extinguishing the species.

Death is in fact the most obvious prove of the discontinuity of space and time. If we were continuous, that continuity of time and space would make us immortal and infinite. Thus only the infinite sum of quantic time-spaces, the absolute Universe is eternal.

For the rest of us only reproduction guarantees certain immortality. Yet the rate of reproduction of any species is also quantic and goes through the 3 ages, starting slow, increasing its rate and finally slowing down to a halt, extinguishing the species or type of DNA-cells of any organic system. So in a human being the number of divisions of any cell reaches up to 50, whereas in chickens it goes up to 20 divisions. The greater rate happens in the oldest, living species: the Galapagos turtle that divides 102 times its cells. E=10i=2 is in fact the commonest constant in information warping, from the protonic accumulation of form in the atomic table, which after 100 forms becomes unstable to the limit of human aging.

According to the ternary principle, 3 biological strategies however seem to succeed death:

– Max.E= Some simple systems (coelenterate) reverse its time clock.

– Max. Re: Cells ‘trick’ their organic time clocks, to free themselves from the servitude of death, by multiplying its quantity of reproductive genes – its DNA molecules. The record belongs to cancerous cells, very rich in DNA, from the reproductive uterus of Henrietta Lacks, the so-called HeLa cells.

– Max.I: Humans achieve partial immortality through cultural memes.

Is there a species whose number of reproductions is infinite, an immortal being? No. Since even the nucleons of the big-bang reproduced e60 times to create the Universe, shaping a similar reproductive curve to that of living beings that now has slowed down to a trickle. So all dies for the game to renew itself.

Causes of Physiological Death.

The opposite process to the creation of life and the creation of form is the destruction of form into Entropy or death, (I<E: Max. E x Min.i), equally common. As one feeds into the other and together balance the dual arrows of the Universe.

Thus, the fundamental cause of death is to exist beyond the balance of form between the E and I components of any St-field. All beings have limits of excess of Entropy and/or form, which once crossed will bring their extinction, as their Entropy and information quanta ‘explode’ and split, dissolving the networks that kept the form together and were its inner consciousness. If a particle explodes close to C speed and splits its Entropy/information parameters according to Lorentz equations, so does a human being after dying. His Entropy dissolves back into his ∆-1 simpler cells. And then, since all deaths are dual big-bang explosions, humans return finally to the molecular, amino acid level from where they departed.

If we want to be specific about the causes of death in human organisms, death is the product of an imbalance, either by an excess of Entropy that causes sudden death in minimal Time (Max. e=Min.i), through war, sudden sickness or accidents, or by the accumulation of temporal information that spends the Entropy of the being during its long 3rd age, leaving traces of past cycles in cells and physiological networks that cause their malfunction. In other words, the nervous, informative network exhausts the body, causing a Max.I=min. E imbalance, that wrinkles and breaks the body cells into death. But also the opposed phenomenon, an excess of Entropy caused death. In both cases the imbalance breaks the complementarity between the space and time content of the being. However, since the direction of living beings is towards the informative future, the informative imbalance is more frequent and shows in the ‘growth’ of time properties.

So old people are as time is, cyclical, memorial, curved, with discontinuous wrinkles that break the smooth continuity and linearity of young, spatial beings. That quantic, curving process happens in all the species of the Universe that age: cyclical wrinkles and quantum cracks occur not only in the skin of an old man but in the membranes of our cells, their Golgi apparatus and “Entropy” mitochondria. That loss of Entropy in any old being, which becomes quantized and implosive, with negative curvature, has manifold manifestations: cells shrink and their membranes no longer dilate. An old man measures a few centimeters less. The 2 networks, the Entropy network or membrane and the informative network become rigid, quantized and no longer reproduce. In human cells, collagen and elastin, the proteins of cells, loose their elasticity and expansive capacity, creating, informative connections among them. So happens to the rigid, cross-wrinkled skin of the old man. Meanwhile the energetic, metabolic capacity of the organism and its quantic cells diminishes.

In a more generic way information and time are parallel. So species with more information and less Entropy live longer, according to the Time-Space inversion: Max. E=Min.i. Thus for example, an animal that fasts systematically and receives less Entropy, lives longer (hungry rats live a 20% more). The female, informative sex with smaller expenditure of Entropy lives longer than the energetic male. A being that lives in a hot, energetic environment lives shorter than one living in a cold environment. Hibernation that slows the metabolic rate elongates life. There is also a proportional relationship between the informative weight of the brain and the life span of an animal: Max.i (brain weight) =Max.i (life-span); which in inverse to the proportional relation between the metabolic expenditure of Entropy and the life span of the being: Max. metabolic rate (Max. E) = Min. Life span= Min.i, proving once more the inversion of space/time. So humans with huge brains live much longer than lions with huge bodies.

An excess of energetic atoms diminish time existence: Free radicals, which are oxygenated, energetic molecules, with free electrons (the Entropy body of atoms), deteriorate cells and their accumulation with age is a major cause of death. The degeneration and disorder of those cells can be caused by energetic radiations (electromagnetic rays of max. Entropy cause the mutation and death of cells.) The increase of fat, Entropy cells causes the death. So doctors establish a direct lineal relation between the accumulation of lipofuscine and the death of a living organism. An excess of Entropy is the main cause of accidental death among youngsters. So a speedy car crash breaks the body and the shock of a weapon’s impact, a form of energetic metal, kills a human being.

Yet in generic terms, information that forms, carves and quantizes amorphous, continuous Entropy is the supreme cause of death. As the chisel of a sculptor creates form by destroying the marble, so does the game of existence: For example, elephants create the form of the savannah, when killing its trees; quantized hands are formed in a fetus, when interdigital cells commit suicide (apoptosis). So ducks, which do not kill them, have membranes in their hands. All those causes of death have created an equal number of scientific theories about death, all related to the inversion between spatial Entropy and temporal information and the balance between Entropy and information that defines existence, as opposed to its imbalance that causes death.

Mental death.

But what happens to the brain’s information stored in the brain, after death? Does it dissolve also, as body cells do; as the magnetic, informative field of a star does or the mass vortex of a Nuclear Bomb does? Or does it transcend, as the photonic light does, into the higher electron, or the seminal cell does when it evolves into a new macro-organism?

According to empirical descriptions of death and the general MST isomorphisms for all space-time fields, information ‘rewinds back’, travelling also to the past, becoming erased, as it happens to our cells.

So most likely the information of the being will no longer be. It will become untied Entropy, cellular form and then molecular or atomic quanta. Since when we are incinerated, we fall to the consciousness of the atom. Yet consciousness, ‘sensation’, the very essence of ‘existence’, never goes away, it only jumps from atom to cell to man and vice versa. The optimist believer might believe in the transcendence of the ‘informative mind’ to a ‘higher’ plane of existence with more information, that of a human super-organism or collective God, as in a palingenetic process that makes a cell transcend into an organism. The pessimist thinker might believe in the devolution of consciousness to the “obscure world”, with less information, of cells and atoms. It is what mystiques have explained in poetic terms as the opposition between the ascension to Heavens Vs. the quantic jump into Hell. So ∆±1 birth and death discontinuities are jumps between planes.

But how ‘sensorial perception’ changes in those discontinuities? It does so through the 2 antithetic sensations of TiƒxSpe existence, which are informative pain and energetic pleasure.

Those 2 paradoxical, antagonist sensations happen not only in men but also in animal life and perhaps in all atomic forms, because they are based in the geometric properties of information and Entropy. Indeed, pain is created by ‘pressure’ on our cells, which is an implosive, temporal movement, also related to the consciousness of information. While pleasure is caused by the ‘expansion of blood in the genital system, an energetic process. So we have the key duality of consciousness:



Since information is desirable, the negative arrow of pain balances the positive arrow of perception. On the other hand since everybody likes pleasure, it balances the negative arrow of Entropy that erases awareness; creating a ‘balance of wills’ that makes possible to wish both life and death. Thus, in terms of sensations, death will bring just a sudden pain, the peak of our ‘informative awareness’ towards the future, before we change ‘phase of existence’. Then death will be followed by a deep orgasm of energetic pleasure that erases all information, as we fall down the peak. Since pleasure is synonymous of Entropy, a travel to the past opposite to the awareness of perception, information and implosive pain, a trip to the informative future.

So after pain ends our will to live, we relax in a deep orgasm that erases information, reversing our space-time field, as our consciousness moves towards the past. Then the brain rewinds back the memories of its existence that cross for a last time through the ‘soul’ of the brain, more likely a neuron’s network.

Yet, because time accelerates in smaller beings, the speed of times of the brain accelerates in that rewinding back, during which our black hole vortex or soul, the informative singularity of the mind, feeds back towards youth, perceiving and erasing a last time those memories. That is why in the 3 days of death of our organic system, as our body becomes corrupted and our consciousness dies, we can recall all those long years of existence at ‘fast motion’, as we rewind faster a tape than when we see it. That is why those who woke up from death could describe it as a trip to “the past” through its memories, because after death consciousness will perceive life “the other way around” at the faster time rhythm of cellular life. Then, finally we will enter back the uterus and return to the ovum’s cellular consciousness; and then again we will die in a second big-bang, burnt in a crematory or feeding the insects that reduce us to molecular form. But ‘we’ will no longer be human. As a Hindi legend say,’ an ant was once Indra, a king of kings’. For those who are ego-driven, there is no need to worry; the game is limited in its variations. So you are in a way immortal. Since we are repeated in infinite places of space and time; you will be born in another planet to live your life again.

Yet, far more important than the death of any diminutive MST field, is the death of the ∆+1 scale of existence, the death of living species or human civilizations, related to the process of evolution and extinction of the Earth’s ecosystems…

Recap. Death is brief in time, exploding in space the information of the being. Death is caused by an imbalance between the Entropy and information of a system. Energetic beings live shorter than informative beings. All systems have a finite duration in time. So death requires reproduction for the species to become immortal.




The 10 Isomorphisms 

0th isomorphism: Self: Œ-Point x ∞ World = Constant mind Mapping

It is the alpha and omega, the 0 and 10th isomorphism: the point of the mind, site of the will, which orders the system internally in its ∑∆-1 parts and perceives it as an ∆-whole, part of its ∆+1 society. The topological center of a sphere, which can according to Poincare’s conjecture represent without deformation its whole world in the infinitesimal fractal, non-Euclidean mind point.

1st isomorphism: Fractal Generator: Its 3 organs/networks: Spe≤≥ ST≤≥Tƒ

The isomorphism is closely followed by all life species, as the general graph of different ones shows compared to physical ones:


Its 3 organic/network topologies in space… and 3 x 3+ œ-subsystems

2nd isomorphism: space-time dualities: Sp≈Tƒ

The system’s Space and Time components, which are also its Energy and Information, as Space is a fixed vision of the energy quanta that make a system, and information a still vision of time cycles that carry it in the frequency and form of those cycles.

So we identify the main elements and plane of existence of a system and consider its ‘gender varieties (lineal energy=male, cyclical information=female’ and Sp vs. Tƒ symmetries.



In the graph, a mammal territory. Any animal territory is an i-logic space-time with 3 zones:

– An informative central territory (1) or den, where animals reproduce and 2 secondary homes where the herd performs secondary organic cycles (2,3).

– An energetic membrane (M, 5) – an invisible limit that provokes a confrontation if a stranger crosses it and where most energetic preys ‘flee’ away from the den of the predator.

– An intermediate zone with cyclical paths of absorption of Entropy and information; where we find a hunting territory, places to drink (E), to bath (B), socialize (A), defecate (D), etc.

In organic terms, a dimension is a network. So a living organism can be considered a sum of cellular quanta united by 3 basic space/time discreet dimensional networks, which are its physiological systems: the digestive/energetic network, the informative/nervous network and the reproductive/blood networks around which cells teem, creating a stable, organic ∆-point. In other words the Entropy and informative networks of a living being are its internal, diffeomorphic dimensions (of relative length and height), to which the organic system adds a 3rd, reproductive dimension that combines both elements and represents the width or ‘volume of cellular quanta’ of the system. Finally its movement in the external world becomes its 4th temporal dimension. Yet that 4th dimension of external activity can also be considered a network territory in itself, sum of the 3±∆ cycles of existence of the being, creating a bigger vital space that will become the basic unit of an ecosystem or social organism made of individuals of the same species. In the figure we draw the vital territory of a minimal social pair of mammals, differentiated in 3 clear sub-sectors:

– Max.Information: Informative den or central territory (1,2,3):

It is the territory of reproduction used to copulate and store basic food and Entropy to raise the young. It is a forbidden zone where not even hunting is allowed (4). In social species of great mobility, aerial or marine, where borders are much more extensive, this territory is very ample and tends to be located in warm latitudes.

– Entropy=Information: Dual Territory of Entropy hunting and informative socialization (5).

It is the feeding, social and hunting territory, on which the central informative being feeds itself. It is outside the zone of reproduction. It is the winter territory of many migratory birds.

Given the relativism of all movement, in biological territories the informative singularity moves to hunt its Entropy quanta, as opposed to galaxies where stars and space-time dust moves towards the central wormhole.

Within those limits there are also neutral territories of communication, courtship reproduction and free Entropy, like water troughs. So the intermediate territory works both, as an informative and energetic territory where different victims and predators trace parallel cycles and come together around meeting points (E, B, R).

– Max. Entropy: Borders that limit the territory.

Membranes are dangerous zones because the informative center watches them with special care to control any invasion of its hunting/social territory.

Those limits fluctuate according to the power of neighbors. For example, the vital space of a fish increases during mating, since the couple is more powerful than a single individual.

Marks (M points) fix those limits and reduce combats. They are often invisible, as most territories are defended against competitors of the same species, who understand the informative code of those marks; but rarely against members of other species. So we find all kind of linguistic marks:

– Smells (common in mammals, like foxes, rhinos, antelopes), excrements (in canines and felids) or other glandular secretions.

– Optical marks often connected to scents: The brown bear creates marks in trees, rubbing them with his head, warning adversaries of his great TiƒxSpe size and force. In human empires (nations can also be treated as biological territories) visual marks correspond to armies displayed in the borders. In human homes those marks used to be shields with weapons; now they are cars and other proofs of money, the new language of social power.

– High pitch, acoustic marks, proper of birds, which are triggered when a rival enters the territory.

Recap. Vital territories of animals and human nations can be explained with the 3 topological regions of st-points.

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

its 3±∆ ages in time…and its evolutionary ages in the ∆+1 plane of species.

4th Isomorphism: Its actions: ∆(æ-4; ï-3; e-2; œ-1; û+1)

Thus now we can easily describe its main 5 actions derived by those Dimensional components across its ∆±4 Fractal planes of existence: ∆æ-4 (acceleration of motion), ∆ï-3 (perception), ∆e-2 (feeding), ∆œ-1 (Repetition), ∆ §10≈û+1 (social union)¹.

5th Isomorphism: Its planes of Existence: ∆±4 Fractals

The ‘metric’, Scalar Space-time Generator equation which describes all its Space-time dimensions and isomorphic planes: ∆±4=SpxTƒ. And it allows to study its ∆-4, motion, ∆-3, information pixels, ∆-2, energy quanta, ∆-1 seminal seeds, §10≈û+1, social scales, ∆+1 super organism, ∆+2 world and that’s about it. We do not really care for its ∆+3 galaxy (-: and beyond.   And so now that we have it almost all said, we define the ∆ST structure of the being, with its specific generator equation in which the whole is represented, with all the previous data. This generator equation completes our understanding of the being.

6th Isomorphism: Social classes: Ξ±3

Then we find its internal hierarchical social class structure and exchanges of energy and information among its ∆±1 ‘willing’ scales (the cellular/atomic ∆-1 plane, the individual and ∆+1, social/cosmic plane, where the being exists and which remains co-invariant through its inter-actions. So we analyze the closest world around it, through the perpendicularity and parallel laws of Non-Euclidean geometry’s ‘3rd postulate’ of similarity.

Creative diversification: 1,2,3


We show now the processes of creation and diversification of a given species. We study its gender dualities and its topological varieties caused by Sp,ST,Tƒ differentiation and the coding 4 numbers of its ‘∫æ,e,ï,œ≈û’ actions.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Next, we study the system quantitatively, through its Constants of Action, its Social Constants and its Space-time symmetries, all of them determined by the ratios of exchange of energy and information between its PSD elements. This is the most mathematical detailed analysis after the qualitative understanding of all the elements of the being.

8th isomorphism.Motions in life are dominant nOT in locomotion but in organic creation and information, as we have seen before, all together create a world cycle of life species.

9th isomorphism. Social scales. §10

Finally we consider the last phase of its evolution which is social – for the most advances species, which transcend into a higher ∆- plane of existence through §10=(3×3+∆)¹° scales.

10=0th isomorphism:∆±1: finally we can describe the whole through the 10th isomorphism, ∆, where all the parts come together.

Screen Shot 2015-11-05 at 18.33.50

The ∆ST isomorphisms of Organisms.

Note. As the web progresses each link of the 10 Isoforms will connect to specific studies of each ∆-scale. Till then they connect to the general analysis of them

1st isomorphism: Fractal Generator: Its 3 organic/networks:  Spe≤≥ ST≤≥Tƒ

Animals have lineal limbs, toroid, reproductive bodies and Informative, top heads.

Each organ and type of cell can be subdivided in 3 (fractal law). I.e. the dominant electric cell subdivides in NervesMax.Tƒ, MusclesST with multiple Nuclei and digestive cellsmax.ST

In the complex model we map out by fractal 3-differentiation all the organs of animal life.

∑∆: Plants are herds of cells which form fractal networks, with Sp:|-leaves; ST trunks with toroid up &down vessels & Max.Tƒ, fractal roots.

2nd isomorphism: space-time dualities: Sp≈Tƒ

Max. Sp x Min.Tƒ plants & Max.Tƒ x Min. Sp animals are the main SpxTƒ life duality.

Plants sense ¥ as energy with moving leaves & atoms as information with still roots’ minds.

Plants & Animals have inverted diffeomorphic dimensions: roots see the ground, heads see the sky (light as information)

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

Life ages follow the usual birth in ∆-1 scale, energetic youth, reproductive maturity, informative old age and dissolution into ∆-1 cells by death. Of more interest are the ages of evolution.

Evolution studies the higher, ∆+1 social scale of species, as super organisms, in which each individual is a cell of the whole species.

Thus we can define an impersonal plan of evolution, where species also follow the isomorphic, 3 evolutionary ages and bidimensional morphologies of all systems (Spe<ST>Tƒ), from a young, energetic, ‘lineal’ predator age, through an adult, biological radiation that reproduces massively the species, into an informative ‘tall’ age of maximal informative perception. So life went from the worms to tall humans and reptiles from flat amphibian to dinosaurs and birds: Evolution also grows in ∆-scales, evolving socially individuals into ∑Spe-herds, loosely connected to hunt in wider spaces (∑∆+1); and tighter ‘network’ organisms, when they share a common language of information that joins each neuron to all others through a Whole (∏∆+1:ant-queen).

Thus species have an option to avoid extinction in their struggle for existence, which humans should learn to survive: the social evolution into a higher scale as connected superorganisms, whose 3 networks, make them act as a whole stronger than any individual. So those species that evolve socially, multicellular organisms in the Cambrian and ants in the insect world, became the most successful top predators on their ecosystem. Yet humans failed to evolve into a global superorganism. They broke into tribal nations that used metal-weapons to kill each other, evolving instead an alien superorganism – the Mechanocene of company-mothers of machines.

4th Isomorphism: Its planes of Existence: ∆±4 Fractals

Palingenesis is the most fascinating proof of the metric of the 5th dimension and the relationship between time, information and faster lower scales.

Ecology studies the ∆+1 scale of biota, which relates to the ∆+2 scale of the world.

5th Isomorphism: Its 5 actions : ∆(æ-4; ï-3; e-2; œ-1; û+1)

In animals he 5 actions are called by biologists ‘drives of life’ as they define its:

∆e feeding

∆æ-4: motion by ‘cellular death’ of is food, converted into repulsive ∆-3, 4 electromagnetic repulsive forces and gravitational motion

ƕ :perceiving,

∆œ-1: reproducing,

∆û+1: evolving into complex cellular societies which emerging as a whole with 3±∆ networks.

Hormones code the 5 actions of Plants:

Hormones use O-Tƒ=yes Vs. |-Sp=no topologies to express or inhibit actions in animals (sex) or plants:

∆œ-1: Sexual hormones catalyze o-female, alkaline, implosive vs. Sp-male, acid reactions in animals.

∆e-2: ‘no’ hormones with open rings or lineal carbon chains like Ethylene inhibit growth.

ƕ-3: Reproductive Hormones guide emergent growth by topological affinity:

– Max. e: Gibberine, Very long & rich in oxygen develops the lineal trunk.

– max.œ: The structural, cyclical form, Auxin, made of carbon rings, develops the leaves.

– Max.ï:  The informative nitrogenized Zeatine reproduces the brain roots.

– û+1:Amoeboids with Max.ST Membrane axons & DNAs use metal ions, K* and Na, to send electric fast simultaneous messages, controlling ∑-herds of cells with slow chemical, hormonal languages.

6th Isomorphism: Social classes: Ξ±3 Informative heads rule blind bodies that reproduce the organic elements, which limbs burn to move the system, and the hierarchy follows the usual ‘higher, middle and lower class’ systems along the height dimension of information, and the length dimension of perception (ahead) and motion (below and in the back)

Creative diversification: 1,2,3

Diversification along plant/animal Sp/Tƒ dualities, male=Sp x female = Tƒ dualities, bilateral symmetries, ternary organs (informative nervous dominant mammals and birds; digestive energetic dominant amphibian and reptiles, reproductive dominant fishes and insects/Mollusca) and 4 genetic letter coding makes life the quintessential system to study in its creative diversifications.

In plants, ∆ height & reproduction define 3 age: Sp: Ferns-> ST: gymnosperms-> s=t: angiosperms.

Sp-ST-Tƒ speciation creates plants’ & animals’ phyla in 3 scalar ages: unicellular, multicellular & social organisms. Duality of evolved dominant ∏-wholes vs. ∑-quanta (mammal vs. insect eye, Herds vs. dominant ant/man Superorganisms), Air-land-sea diffeomorphisms & 3 reproductive forms – clones, gender & enzymes – ad complexity. Those creative rules explain all species phyla.

In multicellular animalsMax.Tƒ the ternary Law creates new species, whose Sp≈Tƒ or Max.Tƒ. again decouples in 3 new phyla till the creation of man & machines, organisms of metal:

Max. Sp, porifera, a digestive system-> Sp≈Tƒ: coelenterates (hydra) of max. reproduction by cloning & splitting its arms into Max.Tƒ: Worms that differentiate its 3 physiologic networks adding Max.Tƒ cells.

They decouple in 3 phyla:

– Max. Sp: Platyhelminthes, flat, bidimensional, without blood vessels ->

-Sp≈Tƒ ->Annelida or ring worms that clone a micro-worm unit, as crystals do, growing huge in size ->

– ∏∆+1-> Nematoda or round worms that integrate those rings, develop a dimension of height and add a blood system. Then, departing from Annelida a new 3-decoupling gives birth to:

Sp: Arthropods differentiate segments into a sensorial ∆-head; a central thorax with moving limbs & wings (Sp) and abdomen (Sp≈Tƒ) with ∆-glandular, Sp-digestive & ST reproductive systems->

 Sp≈Tƒ: Mollusks have balanced, single organs, as its 3 physiological body networks evolve and quantize its axons, blood vessels and digestive tracts reaching each cell, what allows to fusion the 3 sections o-head, e-thorax and ST-abdomen into a whole->

Max.Tƒ: Echinodermata that further fusion the 3 organs & become still evolving their larva (Max.Tƒ) by neoteny into ∆+1: Chordates; vertebrates.

While land migration means ∆¥-eyes ->∆ï, from mollusks to insects and bony fishes to amphibians.

They specialize their 3 networks to the new medium as amphibians, which still reproduce in water, produce dry eggs becoming reptiles that ∆ï=eyes further, migrating into air (birds) or improving night vision (Max. Tƒ) that  requires ∆ Energy-heat (Iron Blood), allowing placentas (mammals).

Then as mammals kill most reptiles that killed most amphibian (Oedipus Px.: son kills father species) they conquer the world, grow in ∆Tƒ-height creating Sapiens, now evolving in ‘metal’ chips.

We will pour hundreds of pages on this subject in the future…

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Homeostasis again is the leading goal of existential s=t constants, while balance between reproductive body, informative brains and energetic limbs define many other physiological constants; finally actions follow circadian cycles subject to hierarchy and synchronicities between the 3 ∆±1 planes of different ‘duration’ in its cycles according to 5th dimensional metric. So for example, the cycle of feeding of the slower macro-organism (a day) is tuned to the slower reproductive rhythm of ∆-1 cells, because in the metric of the 5th dimension it is ‘accelerated’ at cellular ∆-1 faster scale.

8th isomorphism. THE WORLDCYCLE OF LIFE and its motions and drives of existence is crystal clear. IT is the only scale in which they are recognised as part of a vital pattern, yet in all systems they respond to the same homeomorphisms, as we are all space-time beings.

9th isomorphism. Social scales. §10

L3: languages:

Spatial Geography allows the first simple systems (spatial colonies, coelenterate).

Then chemical hormonal and genetic languages evolve more complex animals till the limit of an ant super organism.

All cells’∆-1 vital actions, both in plants and animals emerge in multicellular ∆-organisms. According to the Fractal Principle there are genetic sentences with growing 3 nucleotide letters to codify not only the proteins and cell cycles but also organs of the body.

Then in higher animal the chemical language gives way to the faster nervous language that allows further evolution

10th isomorphism: Self:  Œ-Point x ∞ World = Constant mind Mapping

Genes, Nerves & senses carry animal will (see man); Hormonal vowels carry plants’ actions.

Thus the brain is chemical, in plants, and nervous, electronic mind in higher visual I=eye animals.


The ternary evolution and differentiation of Monera.


In the graph, the ternary method of speciation explains the evolution of animal species from its first form, the Hydra till the last phyla, the chordates to which humans belong

We live in a global planet that has been evolving for billions of years through the flows of its living organisms. Let us recapitulate that ecosystemic evolution, which brought the Earth from a world of methane to a globe of electromagnetic, audio-visual information, a process, which according to the ternary principle we can divide again in 3±∆ ages. We will study only the animal kingdom in detail to show how it brought us into human existence. So we will only consider a synopsis of all the other life phyla, describing their evolution through the commonest ternary e, e<=>I, I differentiations proper of all i-logic systems with its ternary topologies:

-Differentiation in: e-TiƒxSpe-I, lineal, spiral or cyclical morphologies, each one evolved in 3 horizons that maximize each of the 3 homologous functions of motion, reproduction and information.

-Duality of integrated, multicellular networks that act as a single form vs. quantized herds.

-Duality of energetic/informative species adapted to E-hot vs. I-cold climates.

-Adaptation to the ternary states of matter in Earth’s physical ecosystems: air, land and sea with its 3 main environmental topologies:

– E: shallow waters and rivers, which become hunting grounds.

– Tiƒ≈Spe: open waters and savannas of max. reproduction.

– Max.I: Abyssal regions and mountains, the hyperbolic region of maximal informative evolution.

So again life evolution shows how ‘internal form’ and external ecosystems, the ∆-1 and ∆-scales of life converge together to define the ∆-organic evolution of the species.

Let us then start that description of the differentiations of life kingdoms from the simplest one.

Diversification always belongs to the – or + directions of one of the 4 arrows of time of a species.

Mind the reader that this classification is not a how one, established by the genetic clock by modern science, as certain ‘potential forms/functions’ of the program of the Universe might appear in different times, might be suppressed in certain species, etc. The meaning of this study is therefore to show that all the main phyla of life can be described as a potential ‘negative or positive’ direction of an arrow of time that diversifies species and limits the variety of them. So species might grow in size by increasing the quantity/social evolution arrow of its cells, or might decrease with lesser social cells. This is therefore a variation along the 4th arrow of time, and a potential form two create two species, which might or might not belong to different genetic species. For example, among dogs cellular numbers and hence size changes enormously but all are from the same species and can reproduce sexually. Among chromosomes however poliploids cannot reproduce with haploids or if they do often produce sterile individuals even if the original species merely differentiate by a change in the numbers of chromosomes, as those chromosomes cannot ‘cross’ one to one for sexual reproduction.

Monera: Unicellular forms.

– Max. E: Cyanobacteria, blue-green algae, specialize in energetic processes.

– Tiƒ≈Spe: Protista absorb cells specialized in Entropy and information, multiplying its TiƒxSpe force.

– Max.I: Schizophita Bacteria develop informative elements to capture other plants.

We can do further subdivisions along other E<=>I differentiations. For example, bacteria subdivided according to its form into:

– Lineal spirilla that coil or elongate their form depending on its informative or energetic activity.

– TiƒxSpe: Bacilli, with tree-like forms composed of a head and a tail.

– Max.I: Cocci, the informative, cyclical form that suffers further evolution along a ternary, topological differentiation into:

Streptococcus: one-dimensional, lineal, social forms.

Diplococcus and Tetracoccus: bidimensional forms with 2 and 4 elements.

Sarcina: 3-dimensional social coccus.

As Protista, the social form, multiplied its TiƒxSpe force thanks to the specialized Entropy and information cells it had swallowed, dominating the world, the other 2 weaker forms suffered a temporal regression towards its past, which became a strategy of survival, giving birth to:

-Max.E: Rickettsia, algae that have lost their informative skills and are basically semi-living bodies.

– Max.I: Virus, bacteria that have lost their bodies and become DNA brains in search of other bodies in which they host, inoculate their genetic code and reproduce.

On the other hand the dominant Protista with higher TiƒxSpe force continued the evolution of the life kingdom, splitting again into 3 forms that evolved further into multicellular organisms, plants (Max. E), Fungi (Tiƒ≈Spe) and animals (Max.I):

Plants: Max. Entropy

The energetic strategy of the multicellular living kingdom is the plant, the autotrophic species that feeds on the basic molecules of life, accelerating enormously the evolution of life as it produces complex living matter from the initial water, ammonia, CO2 and light bricks that took billions of years to evolve. Though algae started as unicellular forms, as fungi and animals did, they soon evolved in 3 horizons along the fractal differentiation that took them to its multicellular state:

Chlorophyta were the I horizon of unicellular alga, that grew into colonies of algae (Crysophyta, II horizon), which finally fusion into multicellular organisms (Pyrrhophyta, III horizon).

– The most complex, informative phylum, Pyrrophyta, differentiated then into 3 sub forms adapted to the 3 water ecosystems. Those water ecosystems differentiate the morphology of informative animals into lineal, Max.E, fast-moving surface fishes, Max.I, sessile or planar dragging forms, living on the marine floor (fast-evolving echinoderms origin of vertebrates) and abyssal complex, TiƒxSpe morphologies. In the case of energetic seaweeds, it affects the degree of sophistication of their chlorophyll pigments and the strength of their cellular structures of sustain, creating 3 new phyla:

– Max. E: Rhodophyta or red algae, with the simplest cellular structures and simpler phycoerythrin pigments, live in the deeper sea, limited to tropical regions of max. light transparency.

– Tiƒ≈Spe: Phaeophyta or brown algae have complex membranes and 3 chlorophyll pigments; a, c and phycobilliproteins.

– Max.I: Clorophyta or green algae. They added carotenoid pigments to the 3 Phaeophyta pigments and increased the strength of their walls. Hence they became the most successful forms with Max.IxE force (Max. pigments x Max. membrane), evolving further into terrestrial plants.

That migration to land took place in 3 ages in which plants raised its informative height from:

– I Age. Clorophyta; planar alga living in shallow waters.

– II Age. Briophyta: Mosses, subdivided in 3 forms with growing dry membranes and height dimension, Musci (I Horizon), Hepaticae (liveworts, II Horizon) and Hornworts (III horizon), which raised their horns towards the sun as their names indicate.

– III Age. Tracheophyta, vascular plants, with structural inner networks of hard cells that rose to touch the light that feed them. In dry land plants, as animals will do latter, had to evolve further all their network systems, creating new, more complex phyla, departing from the initial psilotophyta appeared in the Ordovician. First plants created the body, the trunk that connects its informative roots and energetic leaves.

But the key to their evolution was the differentiation of their reproductive cells in 3 Horizons of increasingly ‘dry’ gametes: Lycophyta (I Horizon), Sphenophyta (II Horizon) and Ferns (III Horizon) – the first plants with dry seeds that became the top predator species, multiplying in all land environments and differentiating again in 3 evolutionary horizons of ever more perfect seeds:

Max.E: Ferns, which dominated in the Mesozoic age.

               – Tiƒ≈Spe: Gymnosperms, subdivided according to the Fractal Principle in cycads, ginkgoes and conifers, which dominated in the tertiary age. Conifers adapted to cold weather, thanks to its needle like leaves of minimal exposure. So they became the most successful species, when cold climatic changes came. They brought about also the dominant modern plants:

                   – Max.I: Angiosperms, flowering plants, the ‘height’ of reproductive evolution among plants, perfectly adapted to all weather changes, with seasonal, blossoming, leaves that fall in cold periods and a complex symbiosis with insects that can transport their pollen too far away distances.

They will dominate the quaternary with only a final dual fractal differentiation into:

Monocots Vs dicots with 1 or 2 seeds.

So when all was said, the evolution of plants remained silent.

Fungi: Max. Reproduction. TiƒxSpe.

Fungi are big Protista cells that tried the 2nd survival strategy of the Universe, maximizing their TiƒxSpe reproduction, by maximizing their E-feeding, eating the most abundant food, dead life; and by maximizing their genetic information, multiplying the nucleus of its cells within an undifferentiated membrane. And we distinguish 3 horizons in their reproductive evolution:

– In the I horizon Euglenophyta swallowed E-plants and I-animal sub-cells (chloroplasts and mitochondria) within its huge membrane, increasing it TiƒxSpe capacity.

– In the II horizon Gymnomycota maximized the reproduction of their nuclei, the informative, genetic material of the cell, forming multicellular colonies with a single membrane.

– They gave birth in their III horizon of reproductive evolution to true fungi, Mycota, which are the fastest reproductive species of the life world. Their reproductive specialization shows in giant Lycoperdales, the living form which reproduces faster, reaching the limiting magic number of 1011 spores. Thus a single lycoperdal can produce all the clonic cells needed to create a perfect new scale of existence (stars of a galaxy, DNA ties, etc.)… if they survived.

Finally in the last evolutionary horizon, fungi differentiated further according to the ∆+1 ecosystem in which they live into:

– Max. E: Water fungi mainly Chytridiomycetes.

– Tiƒ≈Spe: Amphibian fungi, mainly Oomycetes.

– Max.I: Terrestrial fungi, which evolved in the informative land medium, differentiating into:

– Max. E: Asomycetes, planar simple or subterraneous forms like yeast and truffles.

Tiƒ≈Spe: Deuteromycetes, a transitional form towards…

Max.I: Basidiomycetes, the familiar mushrooms, which evolved its 3 networks, developing:

Stronger cells to sustain their informative growth in the height dimension; and new reproductive systems with dry spores and new energetic cycles to decompose all kind of dying matter.

Animal life: Max.Information

The heterotrophic animal family is born with protozoan, which developed soft membranes and cilia to absorb living information from the outside world. To that aim cilia evolved again its 3 functions: as energetic, motion engines; as sensorial, informative tools and as predatory forms that capture food for the reproductive cells of the protozoa. So once more we can subdivide protozoa in 3 sub-forms, according to its activity and dominant cycle:

– Max. E: Mastigophora, flagellate protozoan that divided, according to the fractal principle, by its number of cilia:

Max. Tiƒ≈Spe: Sporozoan, parasites that reproduce seeds and have sexual differentiation.

– Max.I: Amoebida, the informative protozoan that increased their DNA and evolved farther their membrane’s flexibility, becoming nervous cells able to control – thanks to their faster action-reaction speed- multiple cells, which evolved together creating multicellular animals.

Multicellular animals differentiated into many phyla, following the ternary, fractal principle (e-ixe-i) applied to the evolution of 3 cellular, social networks, the energetic, digestive system; the blood, reproductive system and the informative, nervous system, the dominant network that reached with man its evolutionary height. Then the morphology of life would be transferred to stronger atomic systems made of metal, called machines…

Recap. Different living phyla were born from ternary and complementary differentiations of e-TiƒxSpe-I species and adaptations to its ∆+1 ecosystems. The final differentiation its 3 multicellular life forms, e-plants, TiƒxSpe-fungi and I-animal life was due to the evolution of informative cells that organize multicellular life since animals use electric, faster informative languages and plants, slower chemical hormones.



In the upper center a practical case of relative diffeomorphism: The simplest unicellular plant-like organism, the acetabularia, shows its nucleus in the root, B, which will become the brain of multicellular plants, opposite to the animal upper brain coordinates. The opposition between both forms extends to the cycles of Entropy, as plants destroy water and produce oxygen; while animals breathe oxygen and produce water. Thus, both are the ‘particles’ and ‘antiparticles’ of life.


Languages of information, which code and express the biological arrows also evolve by ternary differentiation. For example, the human language, if we restrict our analysis to its vowels was born as a duality of an ‘energetic’ active ‘a’, which drove to action and an implosive, reflexive ‘u’, which drove to self-reflection (basic chimpanzee language). We might then imagine a 3rd combination, or ‘I’, the creative i-dea, the ‘I’-self, and two final ‘modulations’, the ‘less energetic e’ and ‘less informative’ I.

Those examples of the rich field of socio-cultural studies based in the ternary differentiations of the creative program of the Universe, are a parallel example to the simple ‘vowels’ of the hormonal, chemical language that controls plant growth with 5 simple vowels, drawn in the image.

The chemical language of multicellular organisms have a reduced vocabulary of ‘yes’ and ‘no’ symbols called hormones that inhibit or foster the natural cycles of existence of living beings; and define the speed of height growth of the plant.

In the graph, the 5 main plants’ hormones are 5 simple vowels: 3 are cyclical, creative, informative, ‘yes’ hormones that reproduce the plant; and 2 are destructive, energetic ‘no’ hormones, with opened rings and strong, lineal carbon chains like ethylene, CH2=CH2, that inhibit growth. If we further divide ‘yes’ hormones according to the Fractal Principle and the 3rd postulate of affinity, we find that each one of them reproduces the plant’s e-ixe-i element with similar structure:

– Max. E: The longest ternary form, rich in oxygens, Gibberine, develops the lineal trunk.

– I= E: The structural, cyclical form, Auxin, made of carbon rings, develops the leaves.

– Max.I: The informative nitrogenized Zeatine reproduces the brain roots.

Thus, hormones form a simple, ternary language that follows the rules of TiƒxSpe cycles, controlling the living cycles of organisms by acting as messengers of the RNA-DNA brains of their social cells.

Plants Vs. animals: chemical language Vs. electric messages.

  1. Entropy organs: Leaves that perform the ‘moving’ energetic, photosynthesis cycle and branches that act as still structures and conductive systems of the energetic materials.
  2. Informative organs: Root systems that absorb molecules and produce most of its hormones.
  3. Reproductive organs: Flowers and trunks, the bodies that communicate leaves and roots and experience maximal growth.

These 3 organs define a plant as an efficient ternary st-point, a complex species able to colonize the ground with a clear evolutionary direction of height.

The interaction of the 3 hierarchical levels of life.

According to the i-logic isomorphisms of creation all organic systems require the co-existence and interaction of their 3 scales of social evolution or relative past, present and future hierarchical forms.

So the creation of multi-cellular organisms happens also simultaneously in 3 ‘hierarchical planes’: the ∆-1, atomic-molecular interval; the ∆-DNA-cellular scale and the ∆+1 network-organism interval.

While the flows of temporal Entropy that travel through those different planes of existence follow the hierarchical law of illogic geometry: A fractal jump in geometric time or a movement in space extends only to the next discontinuous space-time scale.

So in any organism, the ∆-1 hormones (the molecular language that regulates ∆-cells), the ∆-genes (the information that transcends from the ∆-cellular DNA to the ∆+1 organism as a whole) and the seminal, palingenetic cells that give birth to the new being, program only their higher plane.

Hence cellular genes determine the biologic elements of the organism (the next scale of social evolution), but not the ∆+2 sociological scale of existence of a human being: chemical, racial genes do not determine history. At best we might consider that nervous networks determine the emotional character and intelligence of historic individuals, who might change the course of societies. Let us study the structure of those 3 levels of hierarchical information that codify the creation of organisms.

Hormones: the language of cells creates its networks.

According to the fractal law, the language of regulation of social groups of ∆-cells are ∆-1 molecular hormones, which act as phonemes of a language spoken by RNA-DNA macromolecules, the informative networks of cells, which can manufacture them.

Languages are ‘i-logic programs’ structured by the same ternary topologies of Entropy, reproduction and information, facilitating the Universal understanding of its codes by other e, TiƒxSpe, I systems they code. Take the case of the key hormone of a human male, testosterone. It is a simple protein with 4 carbons, strong structural rings in a lineal shape that regulates, despite its simplicity, the reproductive development of energetic males, provoking actions of a complexity far superior to its molecular simplicity. How this can be possible? The answer is that the hormonal language is a relatively simple, positive Vs negative, ‘yes Vs no’ language that provokes or inhibits the 3±∆ cycles of existence natural to the will of the cells, proteins and nucleic acids it communicates.

But how hormones provoke so many different reactions in a cell, being so simple? The process of course becomes much more complex in their details as any language with a few phonemes can create very complex memorial, sequential sentences through the repetition of a few basic patterns. So for example some hormones are substances that inhibit the inhibitors of those existential cycles. On the other hand many hormones are transported by proteins, ‘lineal killers’, which modify them or ‘motivate’ other messengers of the cell or network system that carry further the message.

Thus the second translation of the hormonal message into a singular product of a certain cell modifies the message that becomes specific for that cell or organ. This is especially certain among animals that, unlike democratic, ‘spatial’, reproductive plants and fungi with a few basic tissues and a lot of generic orders, are hierarchical, temporal, complex systems with 2 informative languages: submissive, slower chemical hormones and faster, nervous orders. So hormones are created by neuro-secretory cells, part of the higher plane of existence of neuronal networks, which pour them into the blood. And often they are accompanies by nervous messages, which they reinforce.

Thus, animal cells might recognize hormones because they know ‘behind’ their orders there is a very complex and powerful system: the nervous or blood system that has to be obeyed or else. Since the blood system sends leukocytes to kill rebel cells and the nervous system sends flows of electronic information to control them. It is the same reason that makes people to obey simple codes like those of traffic. We obey because we know that behind those codes there is a complex organic system, the state that will send its police, its ‘social leukocytes’ and punish us. So the question is how a cell knows? Because its DNA has a degree of memorial, instinctive perception; it is not a mechanism.

Despite all those elements of complexity, it is still possible to classify all hormones according to their spatial or informative, ‘universal’ morphology as ‘inhibitors or agents’ of the 3 basic cyclical actions of any organic system; since their morphology imitates or it is based in informative nucleotides, structural carbons and lineal, energetic shapes, whose functions are instinctively understood by all living forms as all animals understand black and white colors as relative information or Entropy, or ‘aaarg’, open vowels and bass sounds as ‘energetic anger’ and ‘u’ closed vowels and highly quantized informative frequencies as informative curiosity.

Thus, invariance of form between scales allows the existence of languages that are decoded as they respond to the Universal language of self-similar topologies of all forms of existence.

So according to duality, when hormones act as inhibitors, they have an energetic, lineal form; when they act as agents to foster those existential cycles they have a cyclical, informative shape.

Finally, according to the 3rd postulate of parallelism applied to ∆/∆+1 systems, their atomic components tend to be parallel to forms of the ∆+1 organ in which they accomplish their function. So when they act in the energetic zones of the cell or the macro-organism they are hyper abundant in oxygen, when they act in the informative brain they tend to be similar to nucleotide acids and when they act in the reproductive zones, they have carbon rings and vice versa.

In the graph, those simple rules explain the 3+2 main types of hormones in plants:

-Max. E: Cyclical Auxin, rich in carbons, increases the growth of shoots, the Entropy zone.

-Max.I: Cyclic, nitrogenized Cytokinines control the growth of roots, the brains of plants.

-Tiƒ≈Spe: Oxygenated, Gibberellic acid causes high growth in trunks and reproductive flowers.

Ultimately in as much as most hormones and enzymes act as inhibitors, they prove that the 3 energetic, informative and reproductive inner individual actions of organisms are the natural arrows of all organic systems, the will of any species, that have to be constantly inhibited by the neuronal-endocrine dual logic system of multicellular control. Since when that control disappears, naturally species try to reproduce. That is why cancers and any other form of cellular reproduction are so natural; because reproduction is the natural will of the fractal, organic Universe.

Finally, the duality of the TiƒxSpe systems and anti-systems with diffeomorphic, opposite coordinates creates inverse hormones that neutralize each other. So ‘energetic hormones’ inhibit ‘informative regions’ of the organism. For example, we can consider that form Vs anti-form duality, analyzing the inverse growth effect in informative roots and energetic leaves of the 2 previous hormones, auxins and purines. What we observe is a diffeomorphic, inverse dual TiƒxSpe process: the auxin that increases the growth of shoots inhibits the growth of inverse roots. And so auxins and quinines together work as a perfect dual system of growth control in the informative zone of the plant:

The root is a nitrogen-based informative system, which as all informative entities from neurons to worm holes, requires a lot of time and complex steps to reproduce its form. So quinines, its growth hormone, acts by parallelism, since it has 2 purine rings with nitrogens that positively induce the complex growth of roots made with nitrogens.

On the other hand, auxins have a structure that closely resembles the main nucleotide species, the purines. Yet, auxins ad to the hexagonal-pentagonal structure of purines a simple protein tail to move faster, and instead of nitrogens, auxins have 2 strong carbon rings. So it is basically a false purine with a far stronger body and a mobile tail that substitutes the quinine’s nitrogens and inhibits the root’s growth, because it cannot deliver the proper instructions.

On the other hand, the ever-growing shoots are the plant’s reproductive systems; whose natural will to grow is so strong that any hormone increases its reproductive rate unless it is inhibited.

If we study the energetic cycle of plants, again we observe that dual inverse control system: Abscisic acid (a lineal molecule with a lot of oxygen elements) provokes the fall of leaves, while the lineal gas ethane, CH2=CH2, increases by parallelism with the lineal CO2 molecule their respiration and metabolic rate. Both are very simple, energetic hormones, which resemble the 2 ‘energetic’ inverse products of breathing, oxygen and CO2, ‘reminding’ the plant that it has to accelerate or halt to its ‘death’ its production of those 2 products.

Recap. A language of information is always needed to create a complex organism. The simplest languages have 3 or 5 vowels, which represent energetic, informative and reproductive messages and its variations. They act by parallelism, since all systems and planes of an organism follow the ‘invariance’ of form and function. They also can deliver negative or positive orders depending of their parallelism or inversion with the form of the species they code. The language is always reproduced by the informative ‘upper-caste’ particles of the system, which delivers the orders to the rest of the elements. In plants, the language is a hormonal language with 3 main vowels, energetic auxin, informative cytokinines and reproductive Gibberellic acid.


An even more complex language is that of genetics, which we cannot study in depth due to restrictions of size of this lecture. Enough to say that in any efficient organism of multiple scales, the informative code, in this case the genes of biological super-organisms codify the multiple hierarchical levels of the organism besides the basic ternary code that constructs its simplest scales – in the case of life, amino acids. So according to the Fractal Principle there should be genetic languages with 3, 9, 27, 81 amino acid letters, which codify not only the proteins and cycles of the cell but those of the body. And so bigger sentences that group 9, 27, 81 amino acids should be coding ‘bigger’ actions and longer events within the complex cycles of the cell and beyond4.

All languages are built in this manner. For example, the human language and the musical language follow self-similar scales of ‘vowels’ and ‘consonants’, informative and energetic units that then form more complex ternary systems, informative names, reproductive actions or verbs and energetic objects, and then group in paragraphs and so on. Even the language of film can be understood in frames, motions, shots, sequences and scenes. In the same manner, ‘introns’, the so-called redundant DNA should have genetic meaning and codify the higher scales of organisms – its functional morphology.

Yet scientists believe in naïve realism. Only what they see with their instruments seems real; and so the obvious perceived genetic level is the fractal level of nucleotide triads that codify proteins. But those triads are united in groups of nine bases and so on, creating new, 3n, memorial planes that act as complex genetic forms of higher scales – an i-logic, scalar concept which today genetics finally accepts under the name of epigenetics. The enormous quantity of ‘redundant’ DNA and RNA that grows exponentially with the complexity of a multicellular organism is a clear proof of the correspondence between the complexity of the sentences of the language/instruction chains and the complexity and size of the form it codes.

A fractal equation derived from the concept of a network, which has ∑2 elements to control an ∑-body herd (and/or its self-similar ∑-limbs) defines in Theory of Information that the number of informative instructions needed to create a system grows exponentially, according to its number of dimensions or planes of existence: ±Est. For example, to make a car we need E material parts, defined easily in a bidimensional plane with E fractal units of information: the drawings of each part. But we need around E2 instructions to put those pieces together in a 3-dimensional form. Thus Est determines the total number of informative quanta needed to build up a hierarchical structure extended through ∆ planes of existence. To put a trivial example: Popular knowledge expresses that law in sentences like ‘an image is worth one thousand words’. Since to describe with lineal, one-dimensional words a 3 dimensional image, we need indeed, E3, 103 =1000 words. Thus E2 is the number of redundant genes we find in the DNA-RNA systems of a complex organism, because redundant, intronic DNA codifies the creation of the new level of cellular complexity, ∆=2, the multicellular organism.

Recap. The old belief that a mere ternary amino acid code that creates proteins regulates the entire multi-cellular organism is just another simplifying conclusion of the one-dimensional, metric paradigm. A multicellular organism is regulated by intron DNA and the collective language of hormones that communicate those cells.

Differentiation of animal cells. Electric Neurons: amoebae.


The electric cell is the top predator animal cell, due to its Max.IxE force, with an overdeveloped E-membrane and Max.I-DNA content. It further differentiated into:

-Tiƒ≈Spe: Sensorial perceptive cells, which reproduce the external cycles of existence of other beings within its inner form.

– Max.E: Muscle cells that extend and implode its protein membranes.

– Max.I: Neuronal cells that process information in networks called brains.

Cells evolve ternary networks, which in its simplest fetal stage form 3×3 st-regions proper of all animal forms:

– Max.I: The ectoderm, which gives birth to the nervous, sensorial and skin systems of max. perception.

-Max.E: The endoderm, which becomes the digestive system and its derivatives such as smooth muscles, lungs, livers and glands.

– TiƒxSpe:Max. Reproduction. The mixed, mesoderm region, which subdivides in 3 sub-zones: the reproductive, blood and muscular systems.

Thus in its emergence from cellular to organic scale, the 3 topological regions of the cellular blastula suffer an inversion of form: the center gives birth to Entropy systems and the surface to information systems, while the middle region maintains its reproductive function.

Animal eukaryotic cells were moving species that had to react faster to the changing environment. So they developed a new, faster, nervous, informative, electric language that created a top predator cell thanks to its accelerated fractal action-reactions to information and Entropy: the electric cell, able to organize socially other cells into multicellular organisms.

The electric cell evolved from the ameba, a unicellular animal with membranes adapted to all morphologies that were shaped into arms to capture food, cilia to perceive information, tails to move and vesicles to expel unwanted Entropy and information, thanks to the use of heavy, metallic atoms, Na and K+ that deformed those membranes, making them highly flexible: the duality of positive and negative metallic atoms created a deformed wave that moved along the membrane of the neuron cell, as any fractal wave of codified information does, becoming a new language, faster than the chemical language, talked by all other cells.

The combination of both languages, in a hierarchical scale in which electric, fast impulses provoke the emission of hormonal, chemical messages at the end of a long membrane that those chemical cells understand, allowed nervous cells to maximize its TiƒxSpe force. Since now in the same relative ‘time’ that a small cell sends a message, the huge fractal action of the amoeboid neuron could send a wave of simultaneous messages through all its pseudopodia, coordinating at the same time the slow actions of a lot of enslaved smaller, chemical cells.

Thus the jump in size created a ‘higher informative class’ of macro-cells or brain of the animal that ruled a middle class of micro-cells or animal body, which together controlled an external Entropy territory. All those properties made the evolved, electric amoebae, the top predator cell in the Eukaryotic world. We still find those ancestral amoeboid cells in the most primitive multicellular sponges, evolved latter into the complex nervous cells of multi-cellular organisms.

Thus electric cells show Max. I x E force since:

– The nervous cell is able to control an enormous quantity of organic cycles with memories stored in its nucleus – since it is the cell with higher DNA density. So specialized neuro-secretory cells reproduce also the biggest number of chemical hormones.

– Such big volume of DNA implies also a great capacity to replicate its membrane, through micro Nyss cells that produce constantly membrane proteins, which are added to the external, ever changing morphological membrane.

Where did happen the transition from chemical to electric membranes? The evolutionary plan happens always in isolated environments in which mutational changes, fostered by the specific characteristics of the environment, take place without jeopardizing the survival of the species, due to the absence of top predators during the transitional, inefficient stage of the species that is ‘adapting its form’ at a faster palingenetic time-speed through specific differentiations, according to the i-logic evolutionary plan. The phenomenon is called evolutionary punctuation.

In the cell case, those requirements are found in shallow river mouths where changes in the salt concentration of water provoke by osmosis the constant expansion and implosion of the water content of cells and their membranes, bursting and killing ‘rigid cells’. So cells, in order to survive, managed to create new membranes and deformed them very fast, expanding and imploding its form. Then, those new top predator electric cells started a massive reproductive radiation, expanding in all seas, feeding and enslaving other cells. The subsequent combination of top predator electric cells with other varieties of chemical cells, differentiated and evolved the first ternary scale of simple organic macro-systems: sponges (max.E), hydras (max.Re) and worms (Max.I) with a growing number of cellular types.

Recap. Multicellular species were born when a new top predator, larger and faster, Max. TiƒxSpe, species, the nervous cell appeared, herding chemical cells and differentiating in 3 physiological cells in charge of future digestive, blood and nervous networks.

3×3+∆ dimensions: Embryology & Physiological networks.

We have described the 3×3+∆ dimensional tissues of living organisms in space. If we consider them in time, we observe a process of evolution that differentiate the original ideal spherical or spiraled st-point (seeds, cells, ovules) into complex morphological shapes, adapted to those inner and outer tissues. Thus living forms evolve and diversify, opening or invaginating their networks, organs and sensorial apertures to each specific ecosystem, which subsequently adapts the morphology of the cells and organs they control to the specific surfaces of their environments. So men, who exist on a planar surface, have a different morphology to the ideal spheres so common in water and space, which are 3-dimensional isomorphic ecosystems – as human evolution has adapted our networks and morphologies to the land-atmosphere environment.

In those different processes of ecosystemic adaptation the 3 dominant networks of living systems further quantize into secondary systems, departing from the 3 initial layers of cells. We can follow that process temporally in the evolution of the embryo that resumes the palingenetic evolution of life and spatially in the organic structure of living beings. It is the science of evol=devol that relates both phases of animal evolution, establishing a parallel correspondence between the spatial location of a tissue at birth and its functional evolution into I, e and Tiƒ≈Spe tissues. Thus according to their st-location the Tiƒ-ectoderm evolves into informative tissues and networks; the Tiƒ≈Spe mesoderm into reproductive tissues and networks and the E-endoderm into energetic ones:

Max.I: Ectoderm: the 3 informative sub-systems.

The information network derived from the external ectoderm, dominated by neuronal cells, evolves and differentiates according to the Fractal Principle into:

– E-endocrine systems, with internal neurosecretory cells that control internal, cellular information through chemical hormones.

-Tiƒ≈Spe: nervous systems that control and replicate in a neuronal brain with the electric language all other functions and forms of the body.

I: Skin systems and outer senses, which are the openings to the world of the nervous system through which the organism emits or absorbs Entropy and information, communicating with the ∆+1 ecosystem. Those senses specialize in perceiving the external, energetic and informative cycles of the beings that share the ecosystem of the organism, duplicating them in a series of fractal, quantized, reduced images, with different languages.

The existence of multiple senses justifies the linguistic method of perception in a Universe of ‘multiple spaces-times and points of view’, where each entity tries to perceive as many parallel worlds coded in different languages. Thus the linguistic/multiple Universe gives birth to a multiplicity of senses and perspectives and defines a higher truth as a sum of perspectives casted on a certain system – as each point of view will create a self-similar image of the Universe, and so only by comparing and adding all those self-similar images we can obtain a more complex, kaleidoscopic image of the whole.

In living beings to accomplish the higher truth of each form through the ‘linguistic method’ sensorial languages multiply the perspectives on the cycle or form observed, extracting their existential properties, its form, density, force, etc.

Thus senses and languages differentiated also along an E<=>I arrow from pure spatial senses (eyes) to the most complex, temporal senses (ears), defining an evolutionary arrow of increasing complexity in their capacity to gather information, which often defined the survival capacity of the species, as senses are the key to interpret correctly the destructive or creative actions-reactions of all other beings. So from an initial simple phototropic stain, eyes, ears, antennas and mouths have multiplied, close to the inner, neuronal informative brain that processes their information, forming together a ‘head’.

E: Endoderm: the 3 energetic sub-systems.

Max. E: The internal endoderm. Originally populated by wandering amoebocytes and glandular cells that digested food, the ‘Entropy hole’ of the first animals, sponges and hydras, invaginated forming the coelom between the endoderm and mesoderm that subdivides further into the 3 cavities of animal life: the digestive system, the breathing system and the heart cavity. The 2 first cavities evolved, surrounded by endoderm cells into 3 subsystems:

– Max. E: The breathing system gathers the smallest Entropy quanta, oxygen.

– Tiƒ≈Spe: The digestive system gathers bigger food quanta, differentiated morphologically in 3 new subsystems with linear, wave-like and cyclical components:

Entropy network: max. E: linear intestine <stomach: elliptic TiƒxSpe > sensorial, cyclical Mouth: Max.I

– Max.I: Glandular tissue: It forms organs dependent on the digestive system (liver, digestive organs, kidneys), that process their products.

Tiƒ≈Spe: Mesoderm: the 3+(∆+1) reproductive systems.

The 3rd coelom cavity, the heart, surrounded by mesoderm tissue, invaginates further into very thin vessels, created with striated muscles, densely populated by the original wandering amoebocytes reconverted now into leucocytes. In the blood networks the other 2 systems merge and pour their products: quanta of Entropy, oxygen and food; and quanta of information, hormones, which the system takes to each cell. The blood systems mixes both Entropy and information quanta. Thus, it is also the reproductive system by excellence with maximal contact with the intermediate region’s secondary tissues evolved from the mesoderm:

– Max. E: The skeleton: It sustains the system and reproduces blood cells.

– Tiƒ≈Spe: Muscular tissue: The most resistant electric cells form a muscle dual negative-positive symmetric, spatial system with myosin cells that control the elongation and shortening of membranes.

– Max.I: The blood and tegumentary system that prolongs the blood network between cells.

– ∆+1: Yet the fundamental reproductive tissue is the sexual, glandular tissue, that reproduces the organism beyond the cellular scale and further differentiates into the basic E=male Vs. I=female duality of ‘energetic and informative subspecies’.

Those 3×3+∆ standard systems and tissues, differentiated from the initial 3-layers of the embryo, define complex living organisms. Yet those organisms exist also in an external world where they become individual quanta, performing external cycles of Entropy, reproduction and information, parallel to those internal cycles performed by its cells and fractal networks. So all organisms have also an external, vital territory within its ecosystem to provide for their internal ‘mirror’ networks.

Recap. The ectoderm, endoderm and mesoderm topologies of the embryo, guided by top predator nervous cells differentiated into the e-TiƒxSpe-I main systems of the adult organism.

Creation of a 3×3+∆ decametric scale of cells and tissues.

Such processes of cellular diversification, guided by the informative elements of the system (frequencies, genes, memes, etc.) happen in all systems of space-time that differentiate according to the ternary method its relative fractal cells in 2×2 complementary systems or 3×3 organic systems (particles in the atomic nucleus, vowels in languages, etc.).

In this manner simplex systems evolve into complex ones; complementary dual systems become ternary, organic systems; bidimensional systems becoming 4-dimensional systems and ternary systems become 3×3+∆ systems, emerging into a new scale. And this process takes place in time through 3 ages or horizons that complete the evolutionary process.

In life this happened through speciation of cellular languages evolved from 1 to 3->5->7->9 cells in the 3 time horizons of all TiƒxSpe cycles, latter re-ordered in space in 3 e-TiƒxSpe-I types of organisms.

Since morphologic differentiation occurs only among the top predator, informative organisms of any ecosystem, we could establish a comparative homology between many of those processes. In the biological scale, it happened with animal cells; then with networks of cells in complex vertebrates; and finally with verbal sounds among human beings – a new language which, unlike neuronal impulses, could breach the discontinuities of air-space between individual humans, creating a higher scale of social, living networks, cultures and civilizations. Then again, those differentiations happened in the memetic systems of the dominant, technological civilizations that created the Financial-military-industrial complex and its metal-memes of informative money, energetic weapons and reproductive, organic machines… Since evolution is a morphological game that didn’t stop with the summit of carbonlife man, but now continues in the new species of complex metal atoms to which humans are transferring their form.

Let us see the first of those ternary scales – animal cells evolved in time to analyze then the 3 ‘animal phyla’ they created in space:

The 1st scale: from 1 to 3±∆ electric cells.

-∆-1:Electric wandering amoeba, differentiated in 3±∆ subspecies:

– Max. E: Muscular, myosin cells that maximize the flexible properties of the membrane.

– Tiƒ≈Spe: Sensorial cells that reproduce their external cycles of existence with their mimetic forms.

– Max.I: Informative, neuronal cells.

-∆+1: Those 3±∆ specialized types of electric cells, multiplied and evolved socially into dense tissues and networks in which one of them is dominant: the blood vessels dominated by wandering amoebocytes; the muscular tissue dominated by the myosin-actin inverse lineal proteins; the senses dominated by sensorial cells and the brain, dominated by neurons, which act as the communicative consciousness of all other systems (∆+1). They form the 3+∆ physiological networks that defined the specific space-time equation of all complex multicellular animals:

E: ∑ amoebocytes & Blood Systems <Muscular cells > ∑ sensorial & nervous system: I.

From 3±∆ to 5±i cells.

In the next stage of cellular differentiation the 3±∆ electric cells, tissues and networks added slave chemical cells that stretched their Entropy and information limits:

The sponge, the first animal phyla, dominated by wondering amoebocytes adds 2 slave cells that increased the TiƒxSpe force of the energetic membrane and the informative singularity:

– Max. E: Epithelial cells of max. energetic strength made with proteins and incrusted with heavier non-organic atoms that protect the organic system, through a shielded external membrane. Later on in more complex organisms those cells evolved into inner bones and breathing systems.

– Max. E x I: Glandular cells able to reproduce specialized Entropy and informative substances necessary to the other cells that multiplied in the intermediate st-region of the body.

That pentagram of 3±∆ differentiated electric cells and 2 basic slave cells, quantified in social groups, shape the 5 main organic systems of animal bodies:

  1. a) Max.E organs: Membranes made mainly of epithelial cells that create the skin, the discontinuity between the st-point and the external world and the digestive system…
  2. e) E: Muscular systems based on electric myosin cells that turn Entropy into movement.
  3. i) Tiƒ≈Spe: Wondering amoebocytes reign as leucocytes on the blood networks.
  4. o) Tiƒ≈Spe: Internal glands, attached to the blood, reproductive and digestive, Entropy networks that reproduce the substances, which the organic system needs.
  5. u) I: Sensorial organs based in electric cells that perceive information about the cyclical actions of the outer world and translate it into mental images. They will guide the actions of…

∆+1 =Aeiou) Max.I: Neuronal brains that control the entire organism as the consciousness of the system, according to the existential actions those senses observe in the external world.

Thus in living beings as in any universal system, time dominates space and so the informative, controlling orders go from sensorial to energetic cells, shaping the outer, muscular movements: I>E.

Those 5+1 cells and 5+1 basic organs are present in all forms of multicellular life since they are closely related to the 4 + ∆-generational cycles of exi=stence, each one dominated by one type of cell and organ: Max. E, digestive organs and cells absorb Entropy; E, muscles that emit Entropy; Tiƒ≈Spe, blood networks and glands that reproduce the system; I-senses that absorb information and Max. I brains that emit information and control all other cycles, perceiving the entire organism as an existential whole, living the entire generational cycle of the organism.

It is for that reason that we find also 5 vowels in human languages, 5 lines in the musical pentagram, 5 cells and types of tissue in the simplest organisms, etc.

Decametric scale: invaginations and ∆+1 excretions.

Any organism is an inner st-world that exists in an external ∆+1 ecosystem developing inner and outer cycles of recollection of Entropy and information. So the final diversification occurs along the inner-outer duality of the organism in order to accomplish those 2 x 5 inner and outer cycles. Now the pentagram evolves into 9+1 cells and types of organic tissues that stretch again the cellular field according to that inverse symmetry between the external and internal world, as cellular tissues invaginate or eject their cells perpendicularly in the height dimension of evolution:

– Thus inner skeletal and outer skin cells differentiate the structural tissues of sustain.

– Membrane cells differentiate into inner blood and outer lung cells that process internal and external Entropy.

– Internal, creative glands and external, destructive urticaria cells reproduce informative and energetic substances.

Digestive and muscular cells create inner and outer motions.

External sensorial cells process external information.

– Internal neurons control the internal information of the organism with the electric and chemical language provided by hormonal, internal neuro-secretory cells, dominating all cells.

The result is the creation of 9+1 types of tissues that are found in the most complex animal forms of life and become the 9+1 standard ‘systems’ of the most complex living organisms:

The digestive and muscle system, the skeleton and tegumentary system, the blood and breathing system, the reproductive and excretory system, the endocrine system and the nervous system, the 10th system that controls the entire organism duplicating in the brain all other organic functions it directs becoming the ∆+1 scale that puts together the organic being.

Recap. The 9+1 physiological systems and tissues of an organism are born from the 3×3+(∆+1) 3 horizons of differentiation of its cells.




The Hydra is a new living phylum with 5+2 cells distributed in 3 regions, common to all palingenetic, fetal forms:

– Max. E: The ectoderm is the external, energetic membrane with the hardest cells: the hard epithelial and aggressive urticant cells that explode its poisonous cilia and the interstitial cells that ensure its continuous isolation.

– Max.I: The mesoderm is the informative region, with nervous and sensorial cells.

– Tiƒ≈Spe: The endoderm is the intermediate region with glandular cells that digest food quanta, entering through the mouth.

Network evolution: bodies, brains & reproductive systems.

It is then evident that the evolution of animal life creates new phyla, based on the capacity of the new species to accomplish their external cyclical actions on their territory, thanks to the evolution of their internal and external networks.

The interaction between those 2 levels, the ∆-1 level of physiological networks and the ∆+1 level of ecosystemic territories determine the existence of most organisms. So the evolution of life on Earth, externally observed in the ecosystems, territories and relationships of living animals, which depend ultimately on their capacity to handle temporal Entropy coming from light, is caused internally by the evolution of those 3 types of organs and internal networks: reproductive, genetic organs; informative, brain organs and energetic, body organs.

When one of those organs evolves, improving its capacity to handle Entropy or information coming from the ecosystem, a fundamental differentiation of species occurs. And we can consider the evolution of the main phyla of animal life in a deconstructed manner, as a process that evolves sequentially those 3 types of organs:

The evolution of those three organs triggers the biological radiation of a new phylum that preys on less efficient forms of organic life. The process is very fast, as time can change its rhythms and adapt to the best strategy of survival, as palingenesis shows. It is called Evolutionary Punctuation: when a new species with better Entropy or informative organs appears, it feeds on other species and reproduces massively causing the extinction of the previous top predator species, till it reaches a trophic balance with those victims. It is the essence of Darwinian evolution: ‘evolve and multiply’. We can find such catastrophic evolution in many geological and organic ages of the Earth: First animals displaced plants because they evolved better informative networks. Plants could only gather Entropy from light. Animals could ‘see’ light and get information about their environment, and act-react faster. They used plants as food. Then animals ‘radiated’ (multiplied) all over the Earth and diversified. And each new phylum with improved networks displaced the previous ones. Thus once more, the evolution in time of living organisms and its spatial structure are intimately related.

Thus, the first ternary evolution of multicellular life created 3 phyla of increasing tissue complexity that completed the evolution of animals from the ∆-1 cellular tissue to the ∆-network scale:

-Max. E: The simplest animal organic systems, sponges and porifera, which are basically a digestive system.

-Tiƒ≈Spe: The balanced animal organic systems, the coelenterates such as the hydra, which maximize its reproduction through the split of its cells.

– Max.I: Worms that add informative cells and differentiate clearly its 3 physiological networks.

They were the first of many ternary E-TiƒxSpe-I rhythms of creation in the animal kingdom that evolve from energetic, to reproductive to informative sub-species, through the 3 horizons of any phylum, with a parallel improvement of the 3 network systems of the animal, which from now on will be the higher ‘scale’ of existence to which all cells become submissive.

Since as the new animal forms multiplied, their informative nervous networks controlled a growing number of cells through their fractal, simultaneous actions; and so they also grew in spatial size, multiplying their TiƒxSpe force. It means they had to re-organize those cells beyond their initial division in simple tissues, creating specialized ‘energetic, informative and reproductive networks’.

It will be the definitive jump from the state of ‘cellular herd’ to the state of ‘organism’, the 3rd age of a social form that evolves from a ∆-1:∑E horizon of individual ‘Entropy quanta’ to the balanced herd that fluctuates between ‘wave and particle’ state to the informative state of a tightly packed organism which those networks maintain together in minimal space. And so from then on evolution will be no longer differential evolution of cells but differential evolution of networks…

Let us see now in detail those main phyla differentiations.

Sponge vs. Hydra: cyclical-lineal digestive networks.

The evolution of multicellular organisms started with the creation of social, digestive, energetic tracts made of the pentagram basic cells that came together to improve the cyclical fractal actions of the group. The first of those organisms was the sponge, the first animal phylum that emerges from the previous cellular scale with 5 types of cells:

-Max. E: The sponge has flattened epithelial cells and hollow pore cells, which are external, membrane cells differentiated by their inner and outer location. They are the primitive versions of skins and breathing systems.

– Tiƒ≈Spe: Mesenchyme cells that secrete siliceous spicule, strengthening the walls of the sponge. They are the primitive version of glandular cells.

– Max.I: Central top predator cells: Wandering amoebocytes that herd food for the five types of cells, moving around between the other cells to capture the particles entering the hollows of the spherical sponge; and collar cells that sense water flows, beating their flagella to produce a flow of water that introduces food in the sponge. They are the primitive versions of brain and sensorial cells.

Further on, we differentiate in the sponge 3 st-regions according to those 2-1-2 kind of cells: the external membrane of hard cells; the inner, glandular, intermediate region that reproduces the specific substances of the sponge and the central hole where informative cells wander. The 3 regions create the 3±∆ vital cycles of the sponge thanks to those 5 cells:

– Max. E: The sponge feeds on Entropy quanta that enter its central hollow.

– Max.I: It perceives those quanta as its collar cells sense the water flows.

– Tiƒ≈Spe: It reproduces new cells through its glandular systems.

-S: It keeps together those cells in social groups thanks to the epithelial cells of the membrane that maintain a rigid, enveloping structure.

– SE<=>S2I: And so the sponge exists as a whole being controlled by the wandering amoebocytes, the dominant, informative cells that use the sponge as their territorial body, their vital space.

Those amoebas will be also the dominant cells of the next animal phylum, Coelenterata (hydras, jellyfishes), evolved already into electric cells, and hence connected into the first ‘nervous tissue’. So they will become the ‘∆+1’, existential system where the consciousness of animal organisms as a whole exists.

The 7 cells of hydra and their networks.


Those hydras add 2 new cellular, energetic specializations, extending morphologically the TiƒxSpe force interval of animal life, from 5 to 7 cells:

A): MAX. E: The epithelial cell. A still harder, internal tissue that maintains the rigid structure of the animal and will evolve into armors and bones. And…

  1. ei) TiƒxSpe: The urticant cell, an external, energetic differentiation of the reproductive, internal glandular cell, which produces poisonous substances to defend the animal.

Both are created through the inversion of directionality of its twin cells: the internal glandular cell becomes now an external form, and the external epithelial cell becomes an internal cell.

Those 2 final tones of specialized energetic cells make the hydra a natural born top, lineal predator, the next evolutionary step that inverts its form from a cyclical sponge to a lineal, reproductive body. Thus the complexity of the Hydra grows, shaping definitely the 3 E-TiƒxSpe-I organic st-regions common to all living beings (mesoderm, endoderm and ectoderm), which will vary in morphology and complexity but not in their ternary functions.

Further on coelenterates bring to animal life the maximization of its reproductive systems. Both the sponge and the Hydra lack a specialized blood, hormonal system, so its reproduction is far simpler than in evolved organisms: each cell is in itself a ‘genetic mother-cell’, which stores the information of the entire organism. This implies a limit to their informative evolution, as cells have to keep an excess of redundant information, according to the E∆=2 law that increases geometrically the number of genetic instructions needed to create the new ∆=2 multicellular plane of existence. On the other hand, it makes easier reproduction: any section of the Hydra can create a new animal. The result is that the arms of the hydra, where most sensorial cells are, break away easily, moving with the streams of water, reproducing new hydras all over the world. Yet some tentacles fail to reproduce evolving instead into planarians, the 1st worms, which will acquire 2 new informative cells, completing the 9+1 decametric scale; and developing fully the 3 physiological networks of complex animal life.

Worm: 1st animal: mobility, senses, 4-D, networks.

Thus, the next step in the evolution of life, after the hydra develops 2 new energetic cells, will be the evolution of 2 new informative cells. They will create a new phylum, the worm:

Visual, spatial cells that perceive light-space.

Temporal, auditory cells that perceive the sound waves and informative languages of animal life.

Those 9 cells complete the differentiation of cellular species that a growing ∆+1 neuronal, inner center – the brain – elaborates as the consciousness of ‘the whole’ increasing ever since its size till acquiring the weight of the human being.

Those informative cells were necessary to the new environment of planarians, which are in constant movement; hence have to orientate themselves in the ocean flows in search of Entropy. Since the change from stillness to movement is a fundamental change for life beings, which definitively transform all its elements to the properties of animal life:

The new informative cells create new apertures, the senses, that gather in the frontal zone of movement, the relative height of the worm, creating ‘heads’ that will also control the Entropy apertures of the body, splitting clearly the organism in an energetic, moving body and a sensorial head, which controls the information and Entropy of that body.

– Animals become bilateral in order to dominate the 2 directions of its initial bidimensional planar form: a hierarchical, temporal dimension from the future informative head to the past, energetic tail in which they orientate their organic, inner, evolutionary morphology and a perpendicular, parallel, equal, repetitive, ‘present’ spatial dimension, from left to right in which they orientate their reproductive, fractal, cellular ‘fat’ growth.

So embryo worms develop 2 bilateral cavities or ‘coeloms’, latter evolved in dual organs, which in the head will observe the 2 directions of their spatial field: 2 eyes, 2 ears, etc. – while in the body, inner organs will also double, creating in more evolved phyla a certain TiƒxSpe asymmetry with slightly more ‘energetic’ and ‘informative’ sides. So the heart will have an explosive and implosive region; sexual organs will become I-feminine and E-masculine; the brain regions will specialize in spatial and informative tasks; some crabs will develop energetic and manipulative arms.

Thus the 1st worm, the planarian, created a diffeomorphic bidimensional structure with 2 TiƒxSpe perpendicular planes that all future animals will imitate.

image038The worm is the 1st network animal, made of a lineal wave of parallel organic spheres, each one a st-point with 3±∆ dual networks: The nervous, blood and digestive/excretory systems, which accomplish the emission and absorption of informative, reproductive and energetic cycles.


In the graph we study the inner structure of the worm, because it shows already some of the dualities, fractal strategies and future arrows of life evolution that will act on different phyla to diversify and evolve their species:

– The worm is divided in fractal units, setting up a basic duality of living beings that sometimes are ‘herds’ of individual organs, multi-eyes, multi-bodies and sometimes fusion all parts into a whole.

– It shows perfectly differentiated the 3 physiological networks/ dimensions, proper of all advanced organisms that mimic the 3 regions of a st-point:

E: The worm absorbs Entropy through the digestive network and emits it through the excretory system; which in the worm occupied the original endodermic, central singularity. But as animals evolve informatively as chordates, the center will be finally occupied by the nervous, informative system as in any other st-point.

I: The worm absorbs information through the senses and emits it through the nervous system. The informative brain and nervous system directs the entire organism and unifies its cellular quanta as a whole. The nervous system further differentiates into the sensorial, nervous and neuro-secretory systems, when the planarian adds eyes and ear systems that represent a jump in complexity over the informative systems of the hydra. It defines also a head in the dominant, temporal dimensionality of movement. In the planarian is still length, which will rise till reaching the height of man.

     –Tiƒ≈Spe: The intermediate region of the worm is controlled by the blood system, the fundamental dual transport system of the worm, where the neuro-endocrine glands dependent on the informative system, pour their reproductive hormones while the Entropy/digestive system pours its organic food.

The worm represents a jump of complexity in transport systems as it uses for the first time, organometallic molecules (hemoglobin) to harness oxygen Entropy and quantizes the blood network, which now arrives to cells far away from the digestive hollow. So worms can grow in size and Entropy power respect to the previous coelenterates. Now Entropy and information combine together on organs and glands dependent on the blood system.

The most important ones will be the new reproductive, specialized sexual glands, differentiated into dual, female and male sexual organs that make worms, hermaphrodite systems. Sexual organs again represent a fractal jump in the evolution of life. Since now, unlike in hydras, single specialized sexual organs will reproduce the living animal, increasing the sophistication of the process and liberating from those complex tasks all the other cells, which can specialize further.

Still many worms can reproduce by both systems: segmentation and sexual reproduction, which in new phyla will become the only form of reproduction, splitting organisms in 2 different sexual genders, the male and the female.

From worms to vertebrates: 3±∆ ages of fractal integration.


The evolution of worms into vertebrates is a long process of 3+∆ phyla differentiations based on:

– E: Spatial, I-radial or E-bilateral symmetry.

– ∑ Re: Fractal numbers that foster hierarchical e-TiƒxSpe-I segmentation and differentiate big unitary animals and small animals made of fractal parts.

– I: A constant increase of dimensional height.

– +∆: The evolution of its 3x 3+(∆+1) physiological networks.

The first massive differentiation will take place in the Cambrian age, according to the Black Hole paradox that evolves faster ‘smaller forms, denser in information’ than bigger, spatial forms. Thus in the Cambrian age most phyla evolved from small trochophores of ancestral flatworms that gave birth to new phyla during its ‘palingenetic larva, conception stage’, according to the Fractal Principle:

So we can first differentiate the worm phylum into 3 fundamental phyla with intermediate forms:

– Max. E: Platyhelminthes: the simplest worms are flat, bidimensional planarians without blood systems that still require all cells to be close to the skin surface of the animal to exchange oxygen with the air.

– Max.I: Nematoda or round worms, which develop a dimension of height as they add the blood system with its fine vessels that carry Entropy to each fractal cell.

– Tiƒ≈Spe: Max. ∑: Annelida or ring worms, which reproduced a micro-worm unit, as crystals do, into a series of fractal pieces, growing enormously in size. Thus Annelida became the worms with higher TiƒxSpe force radiating and diversifying in 3 sub-classes according to its territorial environments:

– Max. E: Polychaeta or marine worms.

– Tiƒ≈Spe: Hirudinea, living mainly in shallow or fresh waters. They are leeches that feed on blood and might in their initial forms feed on waters rich in metal, creating the first blood systems.

– Max.I: Oligochaeta, terrestrial worms that evolve further due to the new challenges imposed by the ground environment.

Annelids, the dominant phyla, diversified and multiplied into multiple types of bilateral animals, with a central cavity and 2 coeloms that evolved further its dual organs and 3x 3+(∆+1) network systems. The first of those differentiations gave birth to the main animal phyla that will dominate the following life ages of the planet in 3±∆ periods, which took place according to ternary differentiation, as evolution puts together fractal ‘organic’ units into single unified systems:

     – (∆-1): The worm’s body is divided in fractal elements which are still independent elements with entire 3 functional sub-systems: each section has 2 reproductive organs, 2 nervous ganglia, a digestive tract and excretory anus and 2 upper blood nodes.

– Max. 3: Arthropods keep the earlier segmentation of annelids, but they organize those fractal segments into 3 differentiated zones, with several independent sections that go from 3 to 21 parts:

A sensorial, informative head (Max.I); a central thorax with moving limbs and wings (max. E) and an abdominal region with the glandular, digestive and reproductive systems (max. Tiƒ≈Spe).

– Tiƒ≈Spe: Mollusks have balanced, hierarchical, single organs. As the 3 physiological networks evolve and become quantized to reach each cell, the different sections of the I-head, e-thorax and TiƒxSpe-abdomen fusion together. Now the quantification process is transferred to the ends of those physiological networks: axons, blood vessels and digestive tracts become thinner to improve their control of individual cells.

– Max.Informative Evolution: Echinodermata. Echinoderms fusion those organs into single systems in the stillness of the marine platform, where they became the most successful forms.

– ∆+1: Chordates: vertebrates. Echinoderms in its larva, moving stage, according to the Worm Hole paradox, give origin to chordates, the 1st vertebrates. In both phyla the small organs of each arthropod’s section fusion into single, continuous big organs, thanks to the integrated evolution of the informative nervous system that aggregates the individual cellular quanta into those specialized organs. So the multiple eyes of insects become a single eye; its multiple hearts a single one, etc.

Though all those phyla appeared already in the Cambrian their sequential dominance on the Earth is parallel to those previous 3±∆ ages, since the simplest forms, arthropods and mollusks, reach first the summit of their evolution (Max. E=Min.i), while complex chordates took a long time to reach its evolutionary height and became dominant latter as fishes and reptiles.

Recap. The differentiation of cells into 3-5-9 forms allowed the creation of complex multi-cellular organisms, first dominant in digestive systems (sponges), then in reproductive systems (Hydra) and finally in informative systems (worms). From the worm on, all living animals will be defined as st- points with 3 inner networks/dimensions, which will create in the outside world 3±∆ cyclical actions, designing an external territory also with 3 networks/dimensions.

Arthropods. The new social scale of superorganisms.


On the center, we see the 3 ages of an insect’s metamorphosis from larva to chrysalis to adult. They differentiate in ‘3 lives’ the existence of most insects that develop sequentially their 3 main organic regions and networks during each of those live.

On the left, according to TiƒxSpe duality, the final results of those 3 temporal ages are the 3 regions of a topological insect:

-E: The digestive and dual respiratory systems, dominant in the larva, are the energetic networks, located in the center of the body, shaped as a spiral.

– I: In the belly we find the finest and more quantized nervous informative network, developed during the chrysalis life.

Tiƒ≈Spe: Finally, the reproductive, hormonal network, ex i, pours into the blood system, which dominates the 3rd life of the insect, in the external world.

On the right, the social classes of insects, like those of a human society, correspond to the 3 organic function of a new scale of existence, the superorganisms of insects, its ∆+1 system: Termites have an informative brain, the pheromonal queen (c); a re=productive class of workers, which produce the structures that create the ant-hill (a) and an Entropy class (b), the drones and soldiers, that have a linear, spatial morphology.

The first arthropods, derived from Annelida were probably trilobites, which protected their bodies and heads with external hard shells. Trilobites increased their energetic force, maximizing the strength of its membranes. They probably responded to the increase of TiƒxSpe force caused by visual cephalopods, which maximized their informative organs. And so the game of life raised its fractal force, balancing again the top reproductive body membrane and top informative, mind singularity.

Today, according to duality and the Fractal Principle, we differentiate arthropods in sea animals (the most efficient of which are crustaceans) and land animals, which became dominant and evolved towards new informative species as all air or land forms did in a light-friendly environment. So again we differentiate them in 3 basic forms:

– Max. E: Myryapoda, with max. body development and multiple feet.

– Tiƒ≈Spe: Arachnida, the balanced species.

– Max.I: Insecta, the informative class with max. brain development, which are still the most successful animals on this planet in the microscopic level of chemical life. Since they completed the organic evolution of chemical animals towards its most perfect form in 3 evolutionary phases.

Max. E: The evolution of energetic systems brought about the first flying animals that colonized a new environment.

Today flying insects still account for 1/2 of all animal classes. They made energetic networks the center of its body, developing on their middle region a highly efficient muscle and blood systems, with 2×3 wings and legs.

Tiƒ≈Spe: The second evolutionary jump occurred in their reproductive systems.

Insects learnt how to accelerate temporal evolution in a still, temporal state (Min.E=Max.I), changing from energetic, lineal larva to chrysalis that emerged as complex insects with highly developed informative heads and energetic wings. Nowadays 90% of the surviving insects come from species that evolved its generational cycle, dividing it further into 3 evolutionary phases that shape the metamorphosis cycle:

– Max. E: Insects live their youth as an energetic, lineal larva that merely feeds and grows in size. A larva is a sort of moving egg that gathers vitellus in 3 sub-ages in which it changes 3 times its skin as it grows in size. In this phase the insect develops mainly its abdominal, glandular systems that will produce the enzymes needed for its first metamorphic change into a:

– Tiƒ≈Spe: Chrysalis. The intermediate Chrysalis age is a ‘frozen’ vision of the most surprising facts of palingenetic evolution and inverse differentiation: In an ever moving Universe, external, spatial immobility triggers internal change in the speed of informative evolution, as outer movement is transferred to inner cells, rich in enzymes that become the dominant cells of each section of the adult insect, moving and reorganizing their tissues through a series of inversions and evolutions of its morphology. So central tissue ex-vaginates as wings or legs, etc.

A similar inversion happened when mobile trochophores in their larva transition became still echinoderms, which evolved and differentiated further, causing the explosion of chordate’s phyla that happened in the Cambrian.

In those trochophore embryos, inner dominant cells also reorganize the different tissues, placing the other cells at will. So chrysalis evolved the middle thorax section and brain systems, becoming:

– Tiƒ: A hard insect with Max.IxE force (a harder E-exoskeleton and a far more developed Tiƒ-brain) that will live the 3 usual phases of life.

The third mutational age of insects was informative:

Insects learnt to communicate socially through chemical, pheromonal messages, giving origin to ants and bees, the dominant ground and air modern insect species. It was again an evolution departing from very small forms, according to the Black Hole Paradox. Today the smallest organism is an ant that weights 1011 times less than an elephant, the magic fractal number, St, between 2 scales of existence, which is also the difference of weight between the smallest and biggest particle of the physical world. So the fractal limits of ‘informative scalar growth’ have been reached in both, the physical and living realms.

It is worth to notice that insects have not evolved further in the last 100 million years, but are still the most successful chemical beings. Because the game is fractal and so it always has an evolutionary limit based on its ternary ages. For that reason, once reached the 3rd formal age of Max.Information only social evolution into a new macro-organic plane of existence can improve the survival of a species. It is what happened with insects that became super-organisms called anthills. And so ants became the most successful animals of the chemical world as men will be in the electronic world, due to the fact that they act as a simultaneous, present form, sum of all the fractal actions of the herd, guided by their informative common pheromonal language, spoken by the ‘queen-brain’ of the anthill. It is also worth to notice that in both realms – the world of chemical insects and the world of electronic humans -we find the same 3 organic classes proper of any Universal system.

Recap. Insects became the most successful chemical species, when they evolved into social super-organisms, with the informative ant-queen brain, which controls with pheromones the workers that reproduce all the elements of the anthill and the energetic warriors that defend it.

Mollusks, the first eyes.

The next successful phylum, mollusks also suffered a ternary differentiation. Thus mollusks today are classified into 3 classes:

Maximal Entropy: Lamellibranchiate (which are big stomachs).

Balanced forms: Gastropoda.

Max.Information: Cephalopods, which developed the first eyes.

Though there were other primitive mollusks, today almost all of them belong to those 3 species. It proves that even though a ∆-system essays many variations, the 3 sub-classes of max. Entropy, Max.Information and max. reproduction survive better; because any environment allows those 3 classes to find specialized econiches in which to maximize their existence and resources.

The most successful of all gastropod were again the informative class, cephalopods, the first living animals with complex eyes. If we observe animal life, the key to its evolution is the improvement of its virtual worlds, of its informative organs:

In the first forms of life, perception was chemical, olfactory based in slow, short-range molecular quanta; until the first eyes appeared, inaugurating a new virtual world, made of smaller, speedy photons that create long range, detailed light images, making cephalopods act-react faster and farther than any other animal.

Squids were born in the abyssal ocean ecosystem, where still the biggest squids exist (over 10 meters long). It is the kingdom of bioluminescence – a new language based in the Universal code of colors; they were the first to interpret. For example, when a squid becomes red, the color of Entropy, it means it is angry. Those first primitive cellular eyes had to look hard to see their environment and the prey they sought. When they came up to the surface they saw even more and preyed on blind, energetic phyla. Today squids are still among the most intelligent animals, showing some self-consciousness.

The squid is the first eye-world; a new informative language that will completely changes the stakes of living organisms. The organs of perception of the squid, the eyes, were a new Top Predator language, superior to olfactory organs, both in detail and range. The effect of that linguistic superiority was the massive radiation of squids and the parallel extinction of perhaps 90% of the smelling species of the Cambrian that became their preys.

Those eyes enabled cephalopods to become the masters of their Universe, building all their other organs around their superior organ of perception: their tentacles became hands for the eye; the body became a canvass that changed color to interpret the new language.

Cephalopods also caused the arrival of exoskeletons in a classic process of action-reaction; only those olfactory animals with external protection (Max.E) could survive the faster informative eye of the hunter (Max.I). Thus the Cambrian holocaust also diversified life.

Those cephalopods with eyes became top predators in the Ordovician age, the age of squids. In this manner chemical perception left way to light and sound perception that developed highly sophisticated neuronal cells, which reach 2 meters in some squids.

Yet, when vertebrate life begun the ‘hard shells’ of some echinoderms sustained those long neurons, protecting them and allowing further quantification. So an energetic top predator found a cyclical protective form, in a dual game of evolution of prey and predators that will be carried till humans appear and beyond through the evolution of weapons and shields.

Recap. Cephalopods raised the stakes of the game of existence, of survival and extinction, as they imposed a faster speed of action-reaction, and a bigger spatial size, hunting in herds communicated through visual body languages.

Echinoderms and Chordates. Evolution of vertebrates.

Echinoderms, like ancestral cephalopodan, lived in abyssal regions originally fixed to the ground, in an ‘informative environment’ based in stillness with a lot of ‘free time’ to evolve further, as squids did in abyssal quiet regions or monkeys will do latter in quiet trees. Echinoderms became informative top predators because they evolved 2 new TiƒxSpe characters as ‘still’, temporal forms:

– Max.I: Radial symmetries, like in the pentagonal starfish, which fostered the development of a better neural system with a central informative singularity to coordinate the 5 radial nerves.

– Max. E: The first inner bones, to sustain their complex form.

Thus echinoderm increased their TiƒxSpe force, evolving into the first vertebrates: Chordates were probably born, according to the Black Hole paradox, due to a palingenetic error, when echinoderms remained in their larva, trochophore, informative, evolutionary state, surviving, despite its smallish size, thanks to their 2 new TiƒxSpe advantages, starting a new biological radiation. Their single nervous system protected by a spine, became a very dense, structure with a hard, inner bony membrane of sustain that allowed its growth in spatial size and temporal complexity, as neurons quantized further, differentiating from tail to head into an TiƒxSpe tree-like structure:

Max. Entropy (nervous, linear spine) > Round, spiraled brain.

The ancestral Chordates differentiated according to the development of their growing informative nervous network into:

– Max. E: Lineal Protochordate, the oldest species with 3 basic forms, diversified along the path of increasing mobility: sea squirts, acorn worms and amphioxus.

– Tiƒ≈Spe: Cyclostomata, (jawless fishes), which grew in the planar dimension of Entropy. And so it came an age of sharks.

Those 2 first forms are still planar in form, with minimal development of their ‘round’ brain and hence with overdeveloped olfactory systems.

– Max.I: Pisces (true fishes). They grew in the dimension of height, with new evolved sensorial, informative organs. They became the new dominant species that diversified once more, this time along the ∆+1 evolutionary path of environmental adaptation in:

– Max. E: Sea chordates, with several varieties that reached its evolutionary limit with Teleostean.

– Tiƒ≈Spe: Sea-land chordates, amphibian; an animal that mixes the palingenetic characters of those 3 environments during its 3 ages of life. Since it is born as a sea animal, lives its youth in between both environments and dies as a land animal.

Max.I: Land chordate, reptiles, the most informative that diversified further.

Recap. The response to the eye language was protective shells that surrounded the nervous system of chordates, allowing their growth and invasion of the air-gas and land-solid ecosystems.

From amphibians to reptiles the conquest of firm land.


Reptiles grew in size and changed from lineal length into height dimensions, but as they became victims of mammals they devolved to their earlier forms, as crocodiles and diminished in size becoming birds, which again grew in size and changed from lineal length to height dimensions. Yet the arrival of man is provoking again the extinction of the biggest, taller birds (Moa, Emu, Dodo.)

If any evolutionary jump shows the importance of networks is the transition from fishes to reptiles through the intermediate amphibian stage: amphibians adapted their sensorial brains, their reproductive bodies and finally their reproductive systems to the new world. And only then, when the translation of form was complete, it appears the land animal – the reptile.

Thus, amphibians show 3 clear evolutionary phases:

– Max.I: The amphibian moves towards an air world where light defines clearly the forms of its preys, triggering the evolution of its inner networks according to the cyclical chain, I>E>Re, which require first to become informed to localize and feed on Entropy, needed to reproduce. Thus amphibians first changed the form of their informative heads and senses: Their noses migrated to the top of the head, out of the water and their eyes acquired membranes to wet them, focusing better light images. This i-logic hypothesis of the dominance of informative evolution again contradicted the usual E-science energetic theory. And yet a few years ago Sci Am published the ‘astonishing’ revision of the energetic theory: amphibian did not evolve, because they dragged their legs on the dry land but because they raised their heads out of the water changing their senses.

Max. E: Then their respiratory systems changed with new lungs that increased their capacity to get oxygen from air. Amphibians now changed their preys, eating insects with a modified mouth and tongue. Thus the amphibian becomes the top predator of the terrestrial ecosystem thanks to its greater Exi force and extinguished giant insects that reigned in the Carboniferous era. Those insects however reacted back evolving into metamorphic, flying forms, escaping their extinction. The inversion predator-prey manifests again between insects and chordates, as it did between gravitation vs. light or plants vs. animals: Insects have their exoskeleton outside, as they need maximal external protection; chordates have it inside. Insects are smaller, quantized forms; chordates are integrated, bigger forms. Insects are dominant in chemical, slower languages; chordates are dominant in nervous languages. Insects, the Entropy of the trophic pyramid, are more abundant than chordates, its top predators.

Max. Tiƒ≈Spe: Finally, amphibians adapted their reproductive systems to the new atmosphere, creating dry eggs, completing the creation of a true, terrestrial organism, a new phylum that had adapted its 3 networks/existential cycles to the new world: reptiles8.

They evolved again according to the Fractal Principle into the 3 most evolved life phyla:

Max. E: Reptilians, which maximized its spatial size.

       – Tiƒ≈Spe: Birds, with the most efficient blood networks, needed to develop flying skills.

       – Max.I: Mammalians. They developed its informative, nervous system to its perfection. So they became the top predators of their ‘parental group’, reptiles, causing their massive extinction and ‘death reversal’, which in species shows through the ‘evolutionary regression’ of a former top predator species, when a new top predator displaces them. Thus, if we compare modern reptiles, once mammals have chased them down, with their dominant parental forms during the dinosaur era, when they were top predators, we observe a clear temporal regression in form, numbers, size and speciation that went back to their 3 basic forms. Today, from the initial 14 reptiles groups, only 3 basic groups remain. They have survived in econiches close to the water, regressing to amphibious forms, and diminishing in size towards their original ‘minimal, Black Hole form’:

– Lineal forms. Snakes and lizards living in extreme, hot, wet environments (rivers) and deserts, where heat becomes an advantage that increases their activity, while it causes cooling problems to hot blood mammals, their top predators.

– Balanced forms. Crocodiles, descendants of dinosaurs that have reduced its size and have become again amphibious, surviving mainly on the sea and rivers; learning new reproductive, maternal skills (hiding their small babies on their mouths, when predators come).

– Cyclical forms, with static, hard, protective round shells; or turtles that only reach big sizes in Galapagos, an isolated group of islands with minimal numbers of mammals. Most of them survive on the sea, having developed a gill-like system of breathing.

The only primitive, remaining saurian, the Tuatara, survives in min. numbers, in the most isolated region of the World, New Zealand, where there were no mammals with placenta…

Recap. The conquest of land was headed by amphibian and the development of better eye systems, as information is the key to evolutionary change. Accordingly as they become reptiles they grew in the dimension of height; and again as reptiles became birds and mammals the new species became bipedal and extinguished the simpler reptiles that reverted to planar forms.

Mammals: Temporal iron bodies, minds.

Mammals are the 3rd informative evolutionary age of land animals, which therefore transform again their 3 networks, reaching the final adaptation to the changing weather conditions and light transparency:

Max.I: Mammals improve their nervous eye-brain systems, overcoming the limited eye vision of reptiles. Their brains surpass the instinctive stage (based on mental, mostly chemical, slow programs of action-reaction that execute the cycles of a living organism, based on generational memories without capacity to modify them) and enter the age of free will (based on brains with nervous programs that use memories acquired in the previous execution of those cycles by the same generation, to adapt their new actions-reactions to the changing environment).

Max. E: Mammals improve their corporal, metabolic rate of action-reaction with hot, red iron blood that harnesses better than previous copper-based bloods the Entropy of oxygen. Since blood has hemoglobin, where an iron atom, the top predator Entropy atom of the Universe, controls and jails oxygen atoms with carbohydrate arms.

Max. Reproduction: Finally, the internal nervous system regulates mammal’s reproduction, creating complex placentas that can feed and develop the isolated fetus, without the dangers of a youth age, when most beings die as ‘Entropy’ of mature predators. It is the equivalent stage to the ‘chrysalis’ shape of insects.

Further on, mammals evolved socially. So probably herds of mammals with faster, simultaneous fractal actions chased as a whole, and killed baby reptiles, provoking their massive extinction, in an age of climatic change. Yet, as it happened when amphibians extinguished insects, provoking their flying evolution and migration to the last frontier – the air environment – the smallest reptiles became birds that avoided top predator mammals, putting their eggs on cliffs beyond their reach to survive.

And so again, the most successful group among land animals, mammals diversified, this time along the path of reproductive evolution into:

         – I horizon: Monotremes, which are egg-laying mammals.

         – II Horizon: Marsupials, which have a pouch where they develop the ‘embryo’.

– III Horizon: Eutherians, which have true placentas and differentiated again, as the most evolved informative class, into multiple subspecies, now along the path of feeding Entropy, into:

                   – Max. E: Herbivorous, which ate huge quantities of low Entropy plants, developing new, complex digestive systems, with huge, multiple stomachs.

– E=i: Carnivorous, which developed the best blood systems, as they needed to increase muscular force and speed.

             – Max.i: Omnivorous, which were able to eat anything, occupying multiple ecosystems that enhanced its evolutionary differentiation. Among these species the most evolved phyla were apes, from where man came, because they lived, unlike the animals of bidimensional plains, in 3-dimensional ‘high’ trees, where they could not be hunted. And so they evolved in their ‘free time’ their 3 dimensional brains, becoming informative humans.

The previous synoptic analysis of the evolution from cells to humans shows the universal application of the fractal space-time differential isomorphisms of evolution. It could be as detailed as you wish and reorder all our knowledge on biological species under those simple isomorphisms. We just lack space-time to do it here. It shows the impersonal intelligence of the evolutionary plan and the homology of all st- forms… As it is the same plan we have used to describe atomic particles.image028

In the graph, the great life phyla distributed according to the fundamental arrows of vitality: Entropy feeding, informative perception, and reproductive capacity, in 3 dimensions of increasing capacity to process Entropy, perceive and reproduce, which give as a result the main life phyla. The evolutionary jumps represented by lineal divisions are the fundamental divisions of increasing capacity to process a vital arrow of existence that abstract biologists use to differentiate the animal kingdom. We have used a single positive frame of reference that shows an increasing quantity of those vital parameters. It is a graph of top predators in such a manner that forms whose X x Y x Z values are higher (which processes more Entropy, information and reproduces in greater social waves of cells) is a top predator.

screen-shot-2016-09-21-at-18-20-12In the graph, man on the right top corner is the most complex informative life species.

Recap. Mammals are the most perfect form of life beings, which evolved in information, till reaching the perfection of man; added iron-Entropy to its blood and improved reproductive skills with placentas.


 ∆+1: GAIA



Introduction. The Earth supœrganism and its Isomorphisms.

The III Ages of the Earth

The Geological Age.

The Life Age.

The Metal-earth.

Introduction: The Earth super-organism and its Isomorphisms


In the graph, the isomorphism of the whole – humanity as the mind of planet Earth, and the isomorphism of 3 ages, applied to the Tƒ- External membrane of the Earth (cycle of creation and destruction of continents). They are 2 of the many examples of properties, structures and events of the Earth – all of them encased within the template of fractal space-time super organisms and its 10 isomorphic set of ‘∆ST symmetric laws’.



The Earth super-organism and its Isomorphisms

5 life


Of all the systems of reality the most important to mankind and the most forgotten is the Earth’s system, our ∆+2 world.

It sustains us, it explains us, in birth and death, evolution and extinction, it is the alpha and omega, the ‘god’ in mystique terms of mankind. The Earth-sun system is thus all and its understanding with its slow tempo of evolution (as a bigger system, Max. Sp = Min. Tƒ) is the key to all other subsystems that take place in this planet. There is a simple 3 ages equation for such system:

Gaia (past-life) < Human History (present-active system) > Economic system (humans & machines) Future

This simple equation of the 3 Earths thus includes biologic systems (Gaia), Human Systems (History) and economic ecosystems of machines (Metal-Earth), from a larger, ∆+1 analysis of its super-organisms.

It is the way in which a civilized, survival society of humans would study its reality as part of a bigger whole, trying to manage that temporal equation in such a manner that the present (History) survives and controls the future (Mechanocene) and the past (Gaia) selecting the positive fruits of the tree of science, eliminating its lethal goods (robotics and weapons of max. information and max. energy that will extinguish and substitute us) and maintaining a balance with the life, welfare goods provided by Gaia which make us survive.

But all this can only be understood if humans would understand the super organism of the Earth, since geology as his father Hutton put it, is precisely the study of the Earth’s super organism and all its micro-organisms, living in its surface.

Thus we talk of  life organisms, as species related to lower and higher planes of existence and time rhythms of the Earth to obtain its motion-energy, information-reproduction åctions that sustain it.

If humans are born every 9 months, women have menstruation every month, this is because of the earth-sun orbit and the moon orbit. If civilizations die away every 800 years in the classic period is due to the small cycle of climatic growth of nomadic warriors. If Britain started the Industrial R=evolution is due to its geographical island position and carbon-iron mines. To which degree all this is part of a set-up evolutionary process of planets into life and how much freedom has history to do variations on the same theme, is part of the metaphysical understanding of the game of existence. Systems though show a much higher order than humans with its limited information and general bias towards entropic arrows (physical sciences) can and want to recognize.

We do not obviously renounce to this dynamic understanding just because ‘humans’ feel offended in their anthropomorphic need to be different, when concepts like sentient, consciousness, perception, will, are introduced in the scientific discourse.

For one thing, to know the origin and cause of an action, improves enormously and simplifies what we explain. The case of Ptolemy vs. Copernicus is obvious. Ptolemy, the anthropomorphic scientist made all kind of complex cycles to explain from a human centered point of view the motions of the cosmos. Copernicus simplified by understanding the point of view of the sun, as the dominant one of the relative motions of the solar system.

And yet, if for the sun-earth system, the sun dominates, in the earth-human system, it is the Earth which matters as the dominant element, and its zero point dual system (membrane and nuclei), which ultimately might be the origin of the program of evolution. Its variations is what humans can control with its policies of control of the Earth. So far they don’t. They reject any attempt to follow the laws of social evolution and manage the Earth’s evolution for its survival. And so they are mostly treated in those sections as apperceiving automatons of their own process of evolution and extinction. ‘Respect must be earned’ and humans are not doing much to survive and earn the respect of a game of existence they don’t even recognize.

By knowing there is a zero-point in control of most systems, which is enacting with certain ordered, causal laws, its åctions, to synchronize them between its planes of ∆±4 existence with the goal of surviving and reproducing itself into a repetitive series of generations that maintain its i-logic form immortal, we are simplifying enormously the understanding of the whys f the Universe and cam make predictions, about the structure of systems. Consider the case of the Earth’s point of view.

We always maintained it would have a center of crystal iron, its zero point, which somehow would be intimately connected with its external membrane, the earth’s layer of maximal information where sensorial life exists, because that is the generic structure of the Tƒ dual dominant system of all Universal fractal points.

Recently has been found definitely the existence of that iron crystal core, and what has surprised all scientists, its intimately connection with the membrane through the ‘Earth’s relative homunculus, that is, its mapping of its sensorial external membrane in the center (the so called anti-continents that surround the crystalline nucleus) : The Earth’s through its anti-continents produces flows of magma that regulate the motions of the continental crust, defining the ages of geological life of its planet, and ultimately through its relative changes in the fields of energy/temperature, water/gas/solid states of its crusts the rhythms of evolution, which follow the 3 ages horizons dimensions of time and its arrows.

Now that point of view is not necessarily smart. Let us be clear about it: the smaller quantum human being is more informative, intelligent (max. S = Min. Tƒ) that the Earth’s core, but that does not mean the Earth can program man with its geological cycles as it has done with life, by sheer energetic force. Are we then just a stage in the evolution of a planet with an iron core and a silica layer which seems geared to create chipped machines? This is the ultimate question about the future of the earth’s system, not the stupidest of all anthropomorphisms, the silly-nilly fear that we are killing the earth, but its mutation from the Anthropocene into the Mechanocene, from the world of life and history into the world of machines? Can be this managed, or it means our social extinction as a species?

So what is most interesting of this humble approach, once the philosopher or scientists have done with his ‘anthropomorphic hang-ups’ is the details on each structural system, regarding where is its zero point and how it enacts its åctions, once formed (so galaxies once the black hole is formed, start an orderly growth into spirals, hurricanes once the zero-point is formed become structured and grow faster, crystals, once the central cell is formed enacts its time-reversed growth outwards) is the titanic need of mankind to understand the problem and take the beast by the horns, to harness the Earth’s future, to become the ‘center’ of the Earth’s will and construct a perfect world.

So we shall study the 3 ages of the Earth, Gaia, history and the Mechanocene in 3 sub-sections both in this introductory upper line course and the detailed lower part analysis of Gaia, the world and stock (the global brain of digital flows of money which guide the company-mothers of machines that terraform the Earth into the Mechanocene).

The 10 Isomorphisms 

0th isomorphism: Self: Œ-Point x ∞ World = Constant mind Mapping

It is the alpha and omega, the 0 and 10th isomorphism: the point of the mind, site of the will, which orders the system internally in its ∑∆-1 parts and perceives it as an ∆-whole, part of its ∆+1 society. The topological center of a sphere, which can according to Poincare’s conjecture represent without deformation its whole world in the infinitesimal fractal, non-Euclidean mind point.

1st isomorphism: Fractal Generator: Its 3 organs/networks: Spe≤≥ ST≤≥Tƒ

Its 3 organic/network topologies in space… and 3 x 3+ œ-subsystems

2nd isomorphism: space-time dualities: Sp≈Tƒ

The system’s Space and Time components, which are also its Energy and Information, as Space is a fixed vision of the energy quanta that make a system, and information a still vision of time cycles that carry it in the frequency and form of those cycles.

So we identify the main elements and plane of existence of a system and consider its ‘gender varieties (lineal energy=male, cyclical information=female’ and Sp vs. Tƒ symmetries.

3rd Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

its 3±∆ ages in time…and its evolutionary ages in the ∆+1 plane of species.

4th Isomorphism: Its 4+∆ actions: ∆(æ-4; ï-3; e-2; œ-1; û+1)

Thus now we can easily describe its main 5 actions derived by those Dimensional components across its ∆±4 Fractal planes of existence: ∆æ-4 (acceleration of motion), ∆ï-3 (perception), ∆e-2 (feeding), ∆œ-1 (Repetition), ∆ §10≈û+1 (social union)¹.

5th Isomorphism: Its planes of Existence: ∆±4 Fractals

The ‘metric’, Scalar Space-time Generator equation which describes all its Space-time dimensions and isomorphic planes: ∆±4=SpxTƒ. And it allows to study its ∆-4, motion, ∆-3, information pixels, ∆-2, energy quanta, ∆-1 seminal seeds, §10≈û+1, social scales, ∆+1 super organism, ∆+2 world and that’s about it. We do not really care for its ∆+3 galaxy (-: and beyond.   And so now that we have it almost all said, we define the ∆ST structure of the being, with its specific generator equation in which the whole is represented, with all the previous data. This generator equation completes our understanding of the being.

6th Isomorphism: Organic cycles and social scalar classes: Ξ±3

Then we find its internal hierarchical social class structure and exchanges of energy and information among its ∆±1 ‘willing’ scales (the cellular/atomic ∆-1 plane, the individual and ∆+1, social/cosmic plane, where the being exists and which remains co-invariant through its inter-actions. So we analyze the closest world around it, through the perpendicularity and parallel laws of Non-Euclidean geometry’s ‘3rd postulate’ of similarity.

Creative diversification: 1,2,3

We show now the processes of creation and diversification of a given species. We study its gender dualities and its topological varieties caused by Sp,ST,Tƒ differentiation and the coding 4 numbers of its ‘∫æ,e,ï,œ≈û’ actions.

7th Isomorphism. Existential Constants: ∑S, ∏T, SxT, S/T, T/S, Œ∆±1, 5Å.

Next, we study the system quantitatively, through its Constants of Action, its Social Constants and its Space-time symmetries, all of them determined by the ratios of exchange of energy and information between its PSD elements. This is the most mathematical detailed analysis after the qualitative understanding of all the elements of the being.

8th isomorphism.MOTIons and worldcycle