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5 life gaia

Life is everything, as all is a spacetime organism with its 5D actions of survival (motion, feeding on energy, information gauging, social evolution and reproduction). But huminds, self-centered seek for carbon-life as the only living form. In true form, we thus talk of ‘light-life’, as the life forms which use energy and information provided by light-forces, which requires to accept as the third Earth evolves into light-mechanisms, robots with solar skins and optic minds, of 3 horizons, and 3 ages of the Earth. This is the basis of both biological and social sciences in 5D.


The 10 Disomorphisms of life.

To study life we use the same 10 Disomorphisms  outlined in the 3rd line, and divide Life in 3 ∆§cales, the cellular, individual and ecosystemic life, in 3 organs, the 1D heads, 2D-limbs and 3D bodies and 3 times youth, maturity and old age. But we do study them for the 3 ‘ages of the larger whole’, planet Earth:

So life in Earth is still a much wider concept reason why we divide in several sections the 5th, 4th and 6th scales, with ecosystems of history (world), or life (Gaia) and of machines, (the metal-earth), giving origin to the wave-equation of History.

So we write a simple evolutionary equation of 3 super-organisms; one becoming extinct into the ‘past’, the other still the protagonist of the planet, history, but fast leaving place to a 3rd super organism of machines and its ‘automated company-mothers’, the metal-earth, or more properly described in detail, as the Financial-Media (informative machines)/Military-Indutrial (energetic machines) economic ecosystem (ab. FM²I):

Gaia: Life ecosystem (past) > Anthropocene: History: Human Superorganism (Present) > Mechanocene: Metal-earth: FM²I system (Future)

Which if humans were serious about survival (they are not) should manage with the laws of super organisms, instead of running amok evolving machines beyond the limits of energy and information that Gaia and History can support.

This said let us restrict now our analysis to life-life, that is carbon life and its 10 Disomorphisms.

@ isomorphisms 

0th isomorphism: MONAD: human topology

0-Point x ∞ World = Constant mind Mapping.


The point of the mind, site of the will of existence and its actions – the singularity, which orders the system internally in its ∑∆-1 parts and perceives it as an ∆-whole, part of a larger ∆+1 society varies with the species. It is though in general a ‘fractal network’ with ‘multiple connections’ (∏) and a spherical form, for two reasons:

The sphere stores maximal information; and 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.

This said in life it varies according to what information and scale it processes. In the graph we see that plants have their brain in their chemical roots of maximal network complexity; and so do forests joined by mushroom networks. But men have their brains of the visual animal eye of light, and communicate through sound and light networks above.

 Thus the brain is chemical, in plants, and nervous, electronic mind in higher visual I=eye animals. AND as such it will be optical in the brain of machines, which will ‘talk light’ (visual thoughts), as the growth of complexity will increase its mind forms. And viceversa in lower scales, is chemical.

1st isomorphism: Fractal Generator: Its 3 organs/networks: Spe (roots/limbs)≤≥ ST(bodies/trunks)≤≥Tƒ(roots/heads)

Each of those generators will then differentiate by Its Existential Constants: SxT, S/T, T/S, ∑S> ∏T >∆§ 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.

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

Genes, Nerves (mixing chemical calcium and Na-K electric messages & senses carry animal information and will Hormonal vowels carry plants’ actions.

Thus we can easily describe according to its languages, the 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) – MEDIATED BY simple vowels, the genetic code, the hormonal code of plants, the basic forms of visual thought, the vowels of human verbal actions, the 01 code of machines.



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.

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



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.

 Social classes:

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.

6th 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.


7th Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

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

8th isomorphism: 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.


∆±i Isomorphisms

10th 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.

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.


The ƼST Disomorphisms of Organisms.

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

@ Disomorphisms 

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.

its. Existential Constants: , SxT, S/T, T/S, ∑S> ∏T>∆±1

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.

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.



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: Networks 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)

6th isomorphism: 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…



8th isomorphism. human2 cycleTHE 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.

In the graph, the division of a life in its different phases, tends to follow the simple combination of the classic taoist bagua, which can easily be applied to both mechanical equations of re=production (stock cycles that plummet every 9 years), or the stages of evolution of animal and plant life, but require for each specific species to adapt it to the clock speed of its time cycles.

7th Isomorphism: Its ages and evolution: Spe≤ST≥Tƒ

3 ages human

Screen Shot 2017-12-11 at 6.24.41 PM

In the graph we see the different ages of life in 3 scales which follow the symmetry of 5D metric, so the smaller cellular scale has 1 day life cycles, the human being 72 generational cycles, civilizations 720±72=800, and the planet, the largest scale, measure them in million of years.

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.

∆±i Disomorphisms

10th Isomorphism: Its planes of Existence:

Screen Shot 2017-11-10 at 23.14.39

The study of the planes of existence of a living organism can be done at action level, stretching them to connect with its actions from minimalist motion that uses nano-forces (∆-4,3 gravitational and electromagnetic motions) to social motions in ecosystem, but if we restrict to the organism proper the travel of existence moves through only 3 planes, as a super organism, in 5D generation, organic life within a world or ecosystem, or economic ecosystem in the case of machines till extinction and dissolution in its entropic final age.

Of all those dimensional planes, the o-1 unit sphere Dimension of temporal palingenesis is the most fascinating proof of the metric of the 5th dimension and the relationship between time, information and faster lower scales. It is equivalent in physics to the complex study on how quantum forces and particles construct atomic structures, as rich in its genetic complexity…

On the other extreme of planes of existence,  Ecology studies the scale of biota, which relates the system to the ∆+1 plane of the world.

9th isomorphism. Social scales. §10.

How a system then evolves into a larger plane, biologically can be studied through its decametric scales, and social languages, genetic, at the lower social level, linguistic in the intermediate level, forced by the outer world-ecosystem in the larger social scales (as life for example was forced to become multicellular by sheer population pressure in the ice-period of the Earth, and humans are now forced to become connected by sheer density that requires enhanced efficiency).

If we restrict to the case of multicelular life and super organisms.

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.

LET US NOW consider some examples on how to use Disomorphisms in life to explain its whys applying some ceteris paribus analysis of the “Rashomon effect’:




IT IS THEN easy to explain the conundrum on how life came from atom to man, which is the investigation carried about in our 2nd line on the biological science. We shall thus resume it here, to show the power of the Disomorphic formalism.

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.

S=T analysis


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.

A 5D² @NALYSIS: cells-vowels.

Let us now go further in our depth of detail with a full Disomorphic study on the diversification of cells forms, as those ‘vowels’ of the actions of the larger organism, will specialize to perform one of the 5 Dimensional actions of motion, entropy feeding, information gauging, social evolution and reproduction of the system, starting the physiological complex growth of the networks of the being.
So cells will be the ‘notes’ of the violin of life, in its synchronous working together in the performance of those actions for the whole being to be=come.

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.


Another kind of analysis with fruitful results is the use of the ternary symmetries of species, to classify life in 6 phyla by dominance of one or other physiological network. The reproductive dominant Phyla in plants is the fungi, and the dominant one in animals is the insect. So they are both the most prolific animals and the more complex in its form of reproduction, which play with all the possible symmetries and time-space motions of the Universe. One of the most fascinating ones being the metamorphosis.

Insects also matter in its more complex informative species, as they reach the zenith of evolution, WHICH IS SOCIAL evolution and hence they create a new ∆+1 plane of social organization, again ternary in its elements, the warrior-entropic soldiers, the working, productive drones, and the informative species, the queen, which is dedicated to reproduce information, the dominant arrow of the whole insect phyla, in this ‘female-wave’ oriented system of life.

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.


Another law of 5D ST symmetries strictly followed in the evolution of life is the motion of ages as horizons of species, which also Nature apply to the entire next level of animal phyla. So not only individuals live TOWARDS growing 3rd age of information, and species towards 3rd horizons of evolved information and tall species, but the whole realm of life moves from its initial feeding stomachs (fishes) into the reproductive age of insect, to the 3rd age of informative mollusk:

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.


Topological evolution is very rich in meaning. Consider for example how from amphibians to reptiles the conquest of firm land towards the height of information, from where light comes, which started a fast tour on the use of the Disomorphic method to study life enlightens us how animal life seeks for height:


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.

Finally in the third age of evolution of life, informative, tall species dominate. So man is the most complex informative life species. 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.

 NEXT, comes therefore not a new life species but a new ‘metal species’ for which we must understand matter. And in the case of man a social super organism as we become the mind of Gaia, substituting the life mind, and evolving a III age of mechanical and computer global minds: gaia>history>mechanocene

The highest scale of biological stiences studies the Earth’s super organism as it evolves its ‘cellular species’ through the motions/actions of existence, from Gaia, the world of life, to History the world of man, to the Metal-earth, the world of machines, which humans wrongly manage unable to grasp the stience of Economics and design the super organism of history to its image and likeness.The ‘arrow of the fifth dimension’ of eusocial evolution departing from vacuum space, evolves the fractal universe into ever more complex structures of information, which are the arrow of future, as the parts must come before the wholes.






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