Life in fractal space.
∆±i: ¡ts generator and metric equation (1st Ðisomorphism)
∆²: its time-space states and gender (2nd Isomorphism)
∆§: ¡ts inner cellular planes (10th Ðisomorphism)
∆³: Its body networks: (3rd Disomorphism)
∆º: Its mind-particle: (0th Disomorphism)
∆+1: Its world planes (9th Ðisomorphisms).
“The tragedy of man is that of somebody who is starving and sitting at a richly laden table but does not reach out with his hand, because he cannot see what is right in front of him. For the real world has inexhaustible splendour, the real life is full of meaning and abundance, where we grasp it” Hartmann
Hartmann goes to the point. The problem is not the Universal entangled complexity and its 5 Ðimotions, natural to all its species including those ‘labelled’ as life but the ego paradox of the ‘Humind’, who feels the center of an unmoved mental Universe, it abstracts from all other entities is life ‘Ðimotions’ reduced them to the Ðimotions useful to mankind – notably in physics.
So for the first time in this web we can talk of the 5Ðimotions of life in life itself, not to arise, we hope, any suspicion.
BIOLOGIC STIENCES, THE STUDY OF EARTH’S 3 SCALES OF LIFE.
This post will introduce 5D³ Biology. We shall study as we do with all ‘sciences’ the 3±¡= 5 Dimensional motions (ab. Ðimotions) that carry the evolution of life from the atom to the super organism of life – actions of locomotion, energy feeding, information processing, reproduction and social evolution.
In fact prior to this model of vital space-time, the 5 dimotions of all systems of the Universe were called ‘drives of life’ as they helped to define life from the anthropomorphic point of view of self-centered ‘huminds’, who thought nothing else could be ‘obviously’ alive unless it looked like us the ‘chosen species’ In the post on the atom galaxy, we showed this not to be the case as both the limiting lower plane of atoms and particles display those 5 actions, so it seems it does the larger galaxy with functions similar to a cell. So what is the main super organisms of life in the lower and higher scales of this ‘smaller nested Universe’ within the galaxy? Obviously the cell from below and the Superorganism of the earth from above.
So the first of our 3 ‘sub-equations’ of the 10 Dimensional Generator of Vital Space-time organisms, reduced to ‘scales’ is obvious:
∑∑ ∆-1: cellular life = ∑ ∆º Multicellular organisms = ∆+1: Planetary super organism, whose ‘membrain’ of maximal information is the surface in which carbon life exists.
Then we can for each of those 3 planes develop further 10-Generator equations. So as it is customary in ∆º§tiences we can consider the sub-equation of the 3 ages of time and 3 topologies of space for the Planetary surface both in its minimal species, the atomic cycles of water, specifically the Earth’s water surface has 3 ‘vital states’ of matter – gaseous water: air; liquid water and ‘solid’ water: life proper.
And finally we can consider for the whole life super organism of earth, its 3 ages of evolution:
Gaia (Life Earth) < History (Human Earth) > Machines (Metal-earth).
So where it is the mind of the planet? Thought we don’t know we can consider two hypothesis: that the planet is ultimately a program within the galaxy to evolve metal and likely become devoured by dense ultra matter black holes and strangelets maybe done by the dominant present species on Earth the human being in nuclear labs… But beyond the hypothesis if we restrict to the surface obviously the brain of the planet is the subconscious collective of mankind in its historic age and the Internet in its metal-earth age, connecting far more efficiently than human ‘religions of eusocial love’; all machines in telepathic mood.
Those 10 elements therefore, the 3 states of water, the 3 ages of Earth’s surface, the 3 scales of life and the subconscious collective form the 10D equation of Life at its larger scale.
We study in this ‘first’ part on the Life of Earth, Gaia; and we shall see how easily Life evolved ‘naturally’ under the same Laws of biotopological laws derived from the scalar structure of co-existing planes of space (in the graph the 3 planes of the individual organism), which imply organic properties, as those co-existing scales must be organized together; its ternary only topologies that define its functions and forms as ‘simultaneous ensembles of ‘moving limbs’, iterative bodies and informative minds, and its 3 sequential ages in time.
Indeed, all what exists follow the 5 ‘Dimotions’ of space-time, which ordered in sequential time give us a worldcycle, ordered in simultaneous space gives us a super organism and ordered in scales give us the vital actions of survival, called in biology, the drives of life of ANY physical, biological or social species.
Thus we can consider then in the next scale of human-related animal life also the 10 dimensional elements, or if we use the 5D³ formalism (through the entire web we alternate both ‘dynamic and static description of vital space-time beings), then we can, describe a human being through its 3±¡ physiological networks, cells and social groups; its 3±1 ages from seminal generation to extinction and finally its 5 existential actions:
IT THEN HAPPENS naturally that as systems evolve in social scales, as space-time organisms, which ’emerge’ as larger wholes, we observe the 3 MAIN ∆±I planes of biological systems, the biochemical/cellular, organic/thermodynamic and ecosystemic planes, which defined the main biological systems, whose range is within the closest ∆º and ∆±1 scales of human and similar life, from the molecule to the socio-biological ecosystems and super organisms.
Ultimately though all systems of Nature are biological systems, beyond the human definition of Biology as the science of our closest space-planes, with the systems more akin to our systems – the only ones defined as living systems. Yet by essence, humans are self-centred beings, which do only (ego paradox) give vital properties to biological systems.
For those reasons biology is the most complete of all sciences as the closest in observation, and the one which Humans don’t censor.
So it describes carbonlife systems with all the languages and tools of thought, including mathematics and it considers its 5 Dimensions in great detail:
0-1D: genetics and palingenesis (∆-1>o).
1-2-3D:, evolution theory (S, st, ð ages) (∆o)
5D: ecology and organic theory (∆o>+1).
To which we ad topological biology, expanding morphology; and theory of supœrganisms, expanding social evolution, which are the main ad ons we make to the discipline:
Topological evolution and theory of super organisms complete Biology solving some key questions of the discipline (punctuated evolution, eusocial evolution).
Originally this post included all the work on all the scales of biological systems (cells, life, humans, gaia and our super organisms) but we have moved part of its content to the 4th line. Some day humans will put together back all those scales for a referential book on biological systems, explained with all the vital Ðisomorphisms of space-time super organisms, which present biology ignores.
Here we shall only comment on the main laws of the 3 classic scales, cells, organisms and ecosystems relating them to 5D² S≈T symmetries, adding some themes of the extensive new sciences of topological evolution and theory of supœrganisms.
Human social sciences as biological systems.
To notice also that HUMAN SOCIAL STIENCES are purely biological, as machines are evolving organisms of metal, and its company-mothers, its structure of re=production whole Historic civilizations are social super organisms of citizens cells. And so in the posts on History and Economics we approach those ‘abstract’ or anthropomorphic disciplines with the same laws than biology.
The only exception are the ∆0 study of the peculiar languages of the humind (temporal music, spatial art and space-time wor(l)ds).
Yet given the extraordinary extension of human information about our social organisms I transferred most of the social and linguistic and economic analysis of the super organisms of history and economics to a separated web (economicstruth.com). In this web we broke social sciences further into a 3rd category, because human mental languages (the I=eye-artistic spatial languages and temporal wor(l)d languages) are better explained as reflections of the laws of the ∆S≈T universe (notably music, the best temporal language of S=T motions along algebra/analysis, and painting the best bidimensional language of spatial information).
LET US THEN consider a specific way to explain Life, in a post that must by force being limited. We shall the consider the ‘guiding view’ of the ‘Rashomon effect’ of multiple ‘perspectives of reality’ (Space, time, spacetime, scalar, linguistic perspectives: S,t,∆,@), the scalar view.
We will then describe how according to the scalar and ternary s≈t laws of the Universe described in the first post, life has evolved from the atom to the human being; across the 3 fundamental scales of living beings, the biochemical cell, the thermodynamic super organism and the gravitational ecosystem of planet Earth:
In the graph, the basic laws of fractal, cyclical space-time, the Universe co-exists in 3 planes of relative size in space and speed of time clocks, which defines a super organism; and in each plane ensembles the 3 conserved quantities of reality, which we call the 3 ‘first dimensions of space-time’: lineal motions (limbs/potentials: lineal momentum), cyclical motions (particle/heads: angular momentum) and its body-wave combinations (hyperbolic energy)
The 3 dimensions of space-time in a single ∆-plane.
Let us start then to build reality with the 3 dimensions of space and its motions in time, we shall also called arrows or cycles or actions of space-time. In the next graph, a first hint to how the 3 ‘vital dimensions of space-time’ ensemble into parts and organic wholes in all physical, biological and social systems; since there are only 3 topological forms (geometries with motion) in the Universe. So evolutionary topology the expansion of topology proposed in this form is the key discipline to understand how the species of reality are created and destroyed: In the graph we see from a spatial, simultaneous, formal perspective, ensembled into 3 type of physical, biological and social space-time organisms, the 3 ‘form of space=functions of time=topological varieties of space-time in the Universe’.
We see the 3 first dimensions when doubled in function, divided according to the ‘discontinuity of the fractal Universe’ and perceived as lineal maximal motions-functions in limbs/potentials and maximal informative storages in spherical heads/particles.
It is important to notice that fractal ensembles of the 3 topologies of space-time in a single pane are diffeomorphic, relative to the larger ∆+1 world in which they are embedded. So the brain of plants are its chemical roots, as they work on chemical information. The brain of animals in their eye-brain system as they use a nervous electronic system that absorbs light information; which for plants is their energy for its planar, flat leaves; while electronic repulsion is the engine of our flat leaves – feet. So a careful study of the 3 topologies of space-time (2D) or 3 dimensions (1D: informative height, reproductive width and moving length) will allow us to establish the ternary, ‘generator equation’ of all biological systems:
To express that ternary topology in a concise dynamic way, we use the ‘Generator equation’ which includes all the main asymmetries, symmetries and anti symmetries of the ternary elements of a world cycle of time, an organism of space and its complete scalar timespace super organism:
The generator is thus the simplest formula, which includes all the main asymmetries, symmetries and anti symmetries of the ternary elements of a world cycle of time, an organism of space and its complete scalar timespace super organism:
Spheres that hold the maximal volume of information in particle-heads; flat, lineal topologies – the fastest distance in moving potentials/limbs – and hyperbolic, iterative body waves that generate all the forms, are the 3 only topologies of the Universe, which ensemble to form the ‘present-spatial super organisms’ we see in each ∆-scale of reality:
So this is the second ternary spatial element of reality:
|-moving limbs/potentials x O-head/particles = Ø-body waves
This is the simplest expression of the FRACTAL GENERATOR of space-time beings, as all of them will display those ternary topologies.
It is its simplest spatial view, which we shall made soon more complex adding it its time-motions-functions and scales generated by the minds that perceive in the singularity a still mapping of the whole with a language that perceives in itself.
o Swe can generate and mirror all the systems in space, made of ensembles of those 3 adjacent forms/functions we shall call space-time organisms with them.
We shall write THE TERNARY topology also in many ways and make it increasingly complex as we study different dimensions of ‘form’ and ‘motion’, of ‘space’ and ‘time’. But in its simplest mode is the most extraordinary simplex equation of them all: $≈ð; whereas S is the limbic system, T, the particle-head with its clocks of information and ≈ the bodywave that iterates and puts together both.
Let us then consider briefly the symbols for the Generator Equation of t.œs and its 5 Dimensions.
@>∫T: $t: (limbs/fields of motion and Universe) < ∑∏> §ð<<S∂ (still mind form or world).
So the 5 Dimotions (ab. of dimension in space and motion in time) that create the form and function of all systems and its parts, between its generation by a mind-seed and extinction in entropic explosions are:
- Ði: Informative particles/heads: §ð
- Ð: limbs/potentials: momentum: $t.
- Ð: ∑e x ∏i: body waves: ∑∏.
- Ðimotion: entropy: S∂.
- Ðimotion: Organic evolution: ∫T.
Those dimensions then define a world cycle of existence between the fourth dimension of entropic death and the 5th->0th dimension of social evolution and emergence into a new being (palingenesis in biology).
This structure of 3±1 Dimensions of spacetime is all what we need to define reality as it is, for any scale or system of the Universe, including biological systems.
As it is explained in the first post of the blog we shall just consider how its ‘generator equation’ will create all kind of super organisms. So if we have a general representation of the Generator, for example, viewed in its time-motion-worldcycle as:
∆-1 (o-1D): palingenesis< ∆º: $-2D:lineal motion/limbs≈3D∑∏:iterative body>1D:head <<∆-1: 4D:entropic death…
What we shall show in this post is how scalar evolution of parts into wholes through ternary ensembles of limbs, bodies and heads, has made reality grow and construct the living species of the Universe… as all laws of biology can be deduced from the Disomorphisms of 5D2.
Let us make then a basic introduction to the duality of fractal organic space, and cyclical time arrows and its world cycles which are the only needed elements to obtain the Disomorpshisms that applied to biology will allow us to classify and explain the whole evolution of life from atom to ecosystem and super organism, further extended into socio-biology through memetic and cultural super organisms and eco(comic)systems.
So when we add the dimension of entropic parts and social evolutionary mind-languages, we can complete the ‘symmetry in time’ of the super organism in space. And with that simple duality S≈T, we just have the basic elements to fully understand biology. Let us then see the world cycle in the different scales of reality, with an special emphasis on the worldcycle of species, which biologists call ‘horizons’, which requires to understand as the ‘final element’, the different speed of the clocks of time of those scales or metric equation of the fifth dimension:
4-5D Metric equation that allow TERNARY co-existence of TIME§PACE organisms
So besides the 3 space dimensions ≈ 3 time dimensions (seen as still in space, as moving in time) we do need to consider at least 2 more dimensions, one for the lower scales of the being, which we shall call the fourth dimension of absolute past and one for the upper dimension of the being of absolute future.
But also all systems co-exist in 3 scales of the 4th & 5th Dimension: the ∆-1 atomic/cellular, ∆-organic/thermodynamic and ∆+1 gravitational world:
In the graph the metric equation of the 4th and 5th scalar Dimensions of space-time (ab. ∆±i), which order all entities of reality in scales according to the size and different speeds of time clocks of its systems is very simple: $ x ð = K, the relative size in space and speed of the time cycles of a being remain constant.
And so according to Klein a space-time new dimension is defined, upwards and downwards with slightly different entropic and informative properties – hence two dimensions are needed. And an organism can co-exist since WE CAN TRAVEL THROUGH THOSE DIMENSIONS, SLOWING DOWN OUR CLOCKS AS WE GROW IN SIZE, FROM CELLS TO INDIVIDUALS, TO SUPERORGANISMS AND SOCIETIES, and viceversa we can accelerate information in smaller spaces. Reason why those scales are symbiotic, organic.
And so chips code larger machines, genes larger humans and human memes larger societies, because they’ve have faster clocks of time.
And then their superoganisms, which are all slower wholes enclose the smaller parts, with a membrane to take advance of them and provide vital energy to them, with its 3 physiological networks.
So we define all those systems as super organisms in space, made of cells and the 3 Dimensional, physiological networks of smaller, faster parts:
The next graphs show the 3 arrows of time in a single plane, as physiological networks that process motion, reproduce the system and inform it and below the ternary scales of life and its parallel quantum, thermodynamic/magnetic and gravitational scales.
In the graph, the constant invagination of reality up and down through networks of entropy, energy and information constructs ever more complex supœrganisms as the summit of the process of efficient selection of topology (classic evolution, 3 time-space arrows) and the more complex social organic evolution of scales through topological networks, never fully understood as Darwin was prior to biology and topology.
How then can we put together the scales of the Universe in which smaller parts, become wholes, and the three arrows of topological space-time which define the form≈functions of the beings of the Universe? It is quite simple, and it is called topology, the most advanced form of geometry, in which forms are created with networks of points connected in different open and closed and branched, fractal forms.
As in fact you can reduce topology to lineal open, entropic forms (limbs/fields), branched, hyperbolic, body-wave forms and closed cyclical, fully connected, informative particle/heads forms. Thus reality is is the constant creation of those three physiological networks, in which form and function become one, and the symbiosis of the three networks creates a supœrganism.
So we shall find that all systems become ternary physiological, symbiotic networks, of open points (limbs/fields) of motion, closed cyclical networks of information and intermediate hyperbolic, branched body-waves, constantly exchanging ‘open motions’ and informative closed motions that transform into each other ad eternal.
This metric becomes then the ‘organic metric’ that allows the world cycle of beings to be expressed as A TRAVEL THROUGH THE FIFTH DIMENSION BACK AND FORTH between a quantum, biological genetic or memetic seed and a super organism:
So we can define a world cycle of life and death of ‘existence’ as a travel through 3 planes of the fifth dimension, STARTING WITH THE PALINGENESIS, of a seed of information or memetic mind…
In the graph, life can be considered a trip through 3 scales of the scalar Universe (fifth dimension), as all systems are born as a fast reproducing, evolving 0-1D time seed, which will follow 5D metric equations of spatial growth and deceleration in its time clocks, as it growth in Space-size (Spe) and diminishes its speed of time clocks (ðiƒ), emerging in an ∆+1 world in which it will travel much slower through the 3 ages of life, and then return back to its ∆-1 cellular state, forming a ‘whole world cycle’, which at each stage can be viewed simultaneously as a supeorganism of space-time.
Below 3 seeds in its starting travel that shall create a shower of particles that become organic atoms by reproducing, a shower of cells that become a living being by reproduction and a shower of believers whose memetic ‘DNA’, the verbal book of revelation will be repeated to create a super organism of history or subconscious mind of a religious civilization:
We do have then mathematical and verbal, logic mirrors to express those 5 dimensions of space-time, the ultimate substances and unify with them ALL SCIENCES, departing from the properties of those dimensions its structures in space and travels in time, each ‘stience’ of space-time studying an scale, including those who describe man:
In the graph, the extraordinary capacity to explain the meaning of the fundamental laws of biological, physical and social systems (which we normally escape in the examples for sake of simplicity and due to the obvious incapacity of): animals accelerate their circadian and metabolic cycles as they become smaller, but the product of its volume in space and time clocks remains invariant.
CHEMICAL VS ELECTRIC LANGUAGES: PLANTS
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.
- Entropy organs: Leaves that perform the ‘moving’ energetic, photosynthesis cycle and branches that act as still structures and conductive systems of the energetic materials.
- Informative organs: Root systems that absorb molecules and produce most of its hormones.
- 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.
∆-1>∆º: ANALYSIS: PALINGENESIS
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:
- 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…
- e) E: Muscular systems based on electric myosin cells that turn Entropy into movement.
- i) Tiƒ≈Spe: Wondering amoebocytes reign as leucocytes on the blood networks.
- o) Tiƒ≈Spe: Internal glands, attached to the blood, reproductive and digestive, Entropy networks that reproduce the substances, which the organic system needs.
- 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.