QUANTIC NETWORKS OF ENERGY AND INFORMATION: SUPER-ORGANISMS

 

Energy Bodies, Informative eyes

The perfect form of spatial energy is the straight line in movement - the shortest, faster trajectory between 2 points of space - and its society, the plane. The perfect form of temporal information is the circle and its society, the sphere, which keeps the maximal information in minimal space. Both, opposed, inverse forms shape the spatial, linear, energetic bodies and cyclical, informative, memorial minds that become the complementary forms of all organic systems made of atoms of temporal energy.

We define all systems of the Universe as quantic networks of spatial energy or/and temporal information, among which the most stable forms are those natural systems that combine both type of networks into a super-organism able to transfer energy and information with external networks and internal cells. The key to understand those quantic networks is a proper definition of quantic spatial energy and temporal information, the 2 substances of which all forms of the Universe are made, studied in my previous conference (Unification Theory). Let us resume its opposite properties:

Space =Max. Linearity= Max. Continuity= Max. Energy =Max. Movement=Min. Form=Body Vs

Time=Max.Cyclicality=Max.Quantification=Max.Information=Max.Stillness=Min.extension=Head

Once the concepts of spatial energy and temporal information are properly defined we formalize a superorganism, as a particular case of the Generatrix equation of quantic energy and temporal information, SEn<=>STi, which defines in this case the 4 fundamental elements of any super-organism:

1.Cellular units (S) 2. Networks of energy or organic, energetic space (En that create energy-body systems). 3. Networks of information (Ti that creates information-brain systems) 4. Networks that reproduce energy and information (ó, that create organic, reproductive systems).

Reproduction can be external to the being, catalyzed by an enzymatic agent, as when men reproduce machines or DNA reproduce amino acids, or internal (then we talk of a living superorganism) Thus:

S Energy cycles/networks:Organic body<Flows of energy-information>Σ informative cycles: Head

Where an EóT cycle is a feedback loop that engages energy and information quanta. So we affirm that:

'All natural entities are superorganisms that transform back and forth, quantic pieces of spatial energy into temporal information, shaping space-time cycles: SEsóSTi'.

Which allows us to unify the properties and structure of all Universal Systems and the sciences that study them under a single template definition, according to which systems and super-organisms will differ only in the degree of complexity of its networks and the specific energy or information we put into the template's brackets and the size or complexity of its networks:

'A super-organism, (name a specific super-organism) is a population of (name a particular species), related by information networks (name a language or informative force) and energy networks (name a kind of energy). A system is a partial super-organism, composed of a population of (name a particular species), related either by energy or information networks. A living super-organism is a super-organism in which the energy and information networks combine to achieve self-reproduction through a third, reproductive network.'

Thus we classify all systems of the Universe in 3 scales of growing complexity, systems proper, super-organisms and living super-organisms.

Let us then use the previous template to define the main organic systems of the Universe, from the smallest form known to man, the atom, to the biggest one, the Universal Superorganism:

- An atomic superorganism is a population of (electronic) energy and (nucleonic) information, related by networks of (gravitational) information and networks of (light) energy. The atom is the simplest super-organism that starts the evolution of complexity in the Universe. - A molecular superorganism is a population of atoms, related by networks of gravitational energy and networks of electromagnetic information (orbitals, London, Van der Waals forces). The biggest of those super-organisms are crystals, the most complex DNAs. - A cellular superorganism is a population of molecules, related by networks of water-based energy (cytoplasm, ribosome, cilium) and networks of genetic information (DNA-RNAs.) Thus a Eukaryotic cell is a super-organism made of smaller cells (organelles) and carbohydrate molecules. - A human superorganism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and energy networks (digestive and blood systems). Recently we have discovered that human beings are hybrid super-organisms, as 90% of our cells and most of our genetic material belongs in fact to bacteria. - An animal ecosystem is a population of different carbon-life species, related by networks of light information and life energy (plants, prey). And the entire sum of all those ecosystems is Gaia, the living super-organism of the Earth - A historic superorganism or civilization is a population of humans, related by networks of verbal information and networks of carbon-life energy.So History can be considered as the super-organism of mankind that extends in space over the Earth and in time, from the first man to the last man that will live in this planet.

- An economic ecosystem is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) and energetic networks (roads, electric networks, etc).

An economic ecosystem differs from a historic super-organism because they use different languages of information (civilizations use verbal or ethic laws while economic ecosystems use digital prices) and includes 2 different species: human beings and machines. - A galaxy is a population of electromagnetic stars and gravitational black holes, related by networks of gravitational information and light energy.

-A Universe is a population of galaxies related by networks of dark energy and dark matter.

II. SCIENCES STUDY DIFFERENT NETWORKS AND SUPERORGANISMS.

Human sciences study micro or macro-organisms, tied up by organic networks of energy and information.

1. The scales of energy and information networks: The fractal Universe.

The previous definition of a super-organism unifies all sciences as particular descriptions of each kind of organic systems. Why there are then so many sciences, if all in the Universe is a system or superorganism of temporal information and/or spatial energy that participates of the same laws? The answer is that human subjectivism has used many jargons that divide those sciences, itifying most superorganisms with abstract concepts to downgrade them respect to man, the most 'intelligent and organic species'. For example, the abstract jargon of "space-time", synonymous of the organic jargon of "energy-information", differentiates physics from biology; the 'organic Vs inorganic' erroneous denomination of atoms has divided chemistry from bio-chemistry, etc. Those artificial divisions are solved by a General Systems Theory that becomes the 'science of sciences' based in the 2 quantic universal substances, energy and information, its networks, and laws of transformation and social evolution that give origin to all Universal super-organisms and can be formalized using the Generatrix Equation of Space-Time. The smallest quantic space-time networks of the size of a Planck scale have evolved its information and grown in spatial size through the creation of networks that put together quantic cells into social macro-organisms. Thus individuals become universals, which act themselves as individuals of bigger super-organisms, in a scale of growing forms that creates the complex, fractal Universe, departing from the simple particles born in the big-bang:

So strings of electromagnetic energy and spins (knots of gravitational mass) form the space-time network that evolved into the 2 fundamental particles, informative quarks and energetic electrons. Then groups of quarks and electrons became the informative and energetic network of atoms. Groups of atoms became molecules. Groups of molecules became cells.

Groups of cells became living systems. Groups of living systems became societies.

Groups of societies became nations. Groups of nations became global planets.

Groups of planets became solar systems. Groups of solar systems became galaxies.

Groups of galaxies become Universes. Groups of Universes become the Hyper-Universe.

The stair ends for our perception, though it might go forever into micro and macro-scales, since the equations of Strings, the microscopic and macroscopic forms of the Universe are equal regardless of scale. Thus we exist in a fractal, social, organic Universe of quantic space-times. Where the total Universe is defined as a Game of Existence and Extinction of infinite super-organisms that communicate information and energy among them. Each species of a certain energy size and informative range is studied by a science. So we classify all different sciences as 'human descriptions' of certain universal space-time systems. Each science studies Super-organisms with a certain range of volume of information and energy or TxE relative force. Physics studies microcosmic atoms; chemistry studies molecules; biology studies the forms of 'carbon-life' with a size similar to man. Since man is also a specific superorganism with a specific range of perception of other universal Non AE systems, from microcosmic quarks to galactic macrocosms. History and religion study the social macrocosms of man (tribes, nations, subconscious collective networks of ethic information called Gods, etc.). While Astronomy studies the Universal microcosms. In that regard, the parallel form and behaviour of the species in the limit of our perception, microcosmic atoms (Physics) and macrocosmic masses (Astronomy), proves that the same laws rule all the species of the Universe. Further the key to their morphology and function is the temporal energy they absorb, carried either by Gravitation or by ¥-rays, 2 forces of energy and information with parallel morphologies, which have a range of sizes so wide that make possible superorganisms in all scales.

2. The Unification of Sciences.

Each science is the description of all the superorganisms of a similar size and form, its cells and networks, its morphological and behavioural laws. Scientific knowledge is the information that humanity has about all those super-organisms. To differentiate those forms we use an index, 'i', that measures the volume of temporal energy or informative and energetic force of any system. Thus:

i=1: It is the scale of quantic space/time, invisible to us. i=2: It is the scale of electromagnetic forces, the minimal perceived forms, which are composed of an informative particle, or photon and an energetic flow or electromagnetic wave. i=3: It is the scale of atomic particles, composed of electronic space and informative quarks. The basic science of those 3 scales is Physics.

i=4: It is the scale from molecules to cellular systems, studied by chemical sciences.

i=5: It is the scale of cellular, living systems, studied by biological sciences.

i=6: It is the planetary scale and its natural and historic ecosystems, studied by Geology, Ecology, Economic, History and Theology.

i=7: It is the scale of galactic systems, made of stars and black holes.

i=8: It is the scale of Universes made of galaxies.

i=9: It is the scale of the hyper-Universe made of Universes.

Those 3 bigger scales are studied by Astronomy.

i=n: Finally Quantic Space-Time and Systems Theory study the homologous laws of all scales and its main sciences are Non-E Geometry, GST Theory and Metaphysics. Indeed, GST Theory analyses all systems of energy and information including the Universe. Thus if we had to define God, the mind of that Universe, we would say that God is the Game of Existence and Extinction of all super-organisms.

3. Hierarchical Networks: Organic, social classes.

Systems of energy and information can be described as Non-E space/times with 3 organic classes:

-The 'higher', dominant informative nucleus and energetic membrane and its networks that control.

-A middle mass of 'cells' in cyclical movement between those 2 discontinuous limiting zones.

- Which destroy the 'lower' energy bites and information bits coming from the outside world.

In the graph, a cannibal galaxy traps smaller ones between its informative nucleus and star body; the sun uses its planets' orbits to feed on quantic space-time, so does the nucleus of an atom through its electrons; a DNA cell through its organelles and the brain of an animal, through its body systems.

In Nature, networks organize all type of quanta of spatial energy and temporal information into superorganisms of growing complexity. What is the origin of those networks and why individual quanta gather around them freely or through the intervention of human design? The answer is efficiency and survival. The essence of any quanta/cell/individual is to be made of spatial energy and temporal information. Thus as the individual consumes its particular energy and information it requires more. Hence quanta self-organize around fields of energy and information that become the social, physiological networks of the herd, which help a dense quantic population of similar 'individual cells' to absorb temporal energy efficiently. In this manner, the mass of cells becomes finally a super-organism, which 'emerges' as a new form with a higher content of temporal energy, put together thanks to those networks. The networks act in fact as a continuous single form that lives longer in time than the unconnected cells. They are, in a sense, the soul of the system. So your consciousness is the nervous system and the element that puts together a nation is its legal system.

The 3 physiological, energetic, reproductive and informative networks rule totally the cells of any superorganism, because their cells in order to survive need energy and information and have to reproduce. So they obey the bigger networks that provide them with those positive drives of existence, mechanically through a selective, Darwinian process (Max.E), in a vegetative, organic form (ExT) or willingly through a conscious process (Max.T). For example, in man those networks are the 'digestive'/energy system, which provides food to the cells, the informative/'nervous' system which provides nervous orders and the reproductive/'blood' system which provides hormones that trigger the reproduction of cells. So cells obey their orders. Yet according to duality, the same networks provide the negative arrow of destruction, inhibiting the cycles of existence of their cells or destroying them through an overdrive of energy or information, if cells do not obey.

So there are positive and negative hormones that either promote or prevent the reproduction of cells. Neurons provide positive and negative pleasure and pain messages to the brain.

DNA manufactures enzymes that kill molecules in a cell or makes RNA that reproduces them.

In nations the government acts as a dual network system: its police and armies can either kill or defend the territory and its human cells. The welfare state takes care of citizens but taxes ruin them...

We formalize those concepts through the Generatrix Equation, EóT, using the operand X. Thus ExT measures the informative and energetic force of a certain being that determines its complexity and capacity to survive. It is equivalent to the concept of momentum in physics (Mass, an informative parameter x Speed, an energetic parameter); and the concept of a biological predator, a species with maximal brain and body power that dominates a given ecosystem. It follows that all systems evolve towards higher complexity and energy power in order to survive. What is then the most complex, efficient species of the Universe? The black hole. And indeed, the Universe favors systematically the creation of black holes, probably the main components of dark matter.

All Universal beings are superorganisms of temporal energy of different size, joined by networks of energy and information that control the quantic cells of the superorganism.

 

Thus we can classify all systems as 'relative horizons' of the generic evolution of social networks of growing complexity. And we can formalize them as partial equations of the Quantic Spaces-Times equation of a complete organism, SEóST:

- A system, SE or ST, is a quantic group related only by networks of energy or information. - A super-organism, SE x ST, is made of 2 complementary systems put together: a body of quanta related by networks of energy and a Head of quanta related networks of information. - A living super-organism, SE< Se=St >ST, is an superorganism with a 3^rd, reproductive network that combines energy and information. It is the final horizon of systemic evolution in which the 'upper class' quanta with max. energy and information (SE+ST) and the 'brain' and 'skin', control, invaginate and limit an intermediate region or 'middle class' of reproductive quanta with lesser energy and information, Se=St, that reproduces the specific energy and information of the system. For example, according to its reproduction we can differentiate 'living super-organisms' that reproduce through its inner networks; from 'mechanic super-organisms', reproduced externally by a catalyst such as machines reproduced externally by men or proteins reproduced by DNA. Yet even 'mechanic super-organisms' can evolve potentially into 'living superorganisms' (robots). In any case reproduction=repetition of a quantic 'present form' into another 'quantic, present form' is universal. Since in a quantic space/time Universe everything reproduces either internally or externally through the use of catalysts, as only forms that are copied in other s/t region survive after their quantic death. - Finally, an ecosystem, world or Relative Universe, S (SEóST), is a volume of organic space in which multiple super-organisms co-exist, related by their own specific networks of energy and information. Most entities designed by men are systems, such as an electric network (an energy system), or a legal system (an informative network). Most forms of nature are superorganisms (such as a molecule). While the most complex systems are worlds and ecosystems in which multiple species coexist, through 2 different behaviours: social evolution among the individuals of the same species and competition between different species. Indeed, we distinguish according to the duality of 'positive, informative order Vs negative, energetic entropy' (1), 2 types of macro-organisms: Darwinian ecosystems in which the relationships between the different species are 'negative', as they feed into each others' and 'worlds' in which those relationships are positive. So, for example, a human nation is a 'world' and a jungle is an 'ecosystem'.

5. Conclusion.

The fundamental concept to understand super-organisms is that of a network, composed of 'Non-Euclidean knots' (mathematical description), 'cells' (biological description) or 'minds' (philosophical description) that exchange energy and information, the 2 primary substances of the Universe). A super-organism gathers together a series of cellular super-organisms belonging to a few equal or symbiotic species around those networks of energy and information (for example, in a human being cells gather around the blood and nervous network, creating a human organism).

III. THE FORMALISM OF SUPER-ORGANISMS: NON-EUCLIDEAN NETWORKS.

 

The minimal Universal event communicates 2 Non-E points,: a Non-E point with more energy, Ei, that each science defines with different slangs, ('a white hole', 'energyzer', 'past form', 'male', 'body', 'yang', 'moving field', etc.); and an informative point, Ot, the smaller form ('a black hole', 'codifier', 'future form', 'female', 'Head', 'yin', particle or 'center of perception', etc.) Both become united by a dual wave that transfers energy from Ei to the informative point of relative future, Ot, and information from the future point, Ot, to the relative past point, Ei, creating together a cycle of temporal energy, the minimal ExT, stable structure of the Universe. When those cycles organize themselves in more complex feed-back loops, the result is a system, network or super-organism.

1. Non-Euclidean points. The fundamental particle of the Universe.

The formalism of super-organisms describes them as networks of non-Euclidean points, a concept developed in my earlier work on quantic space-time (2) that describes the smallest scale of the Universe as a network of spins of temporal gravitation joined by strings of spatial energy. Those microcosmic networks have evolved into the bigger, more complex networks of the macrocosmic world through a process of social evolution, triggered by the higher efficiency of networks in all processes of survival. Yet, despite growing in complexity, non-E, informative points and energy flows have maintained the original properties of any quantic space-time network.

So we can define in mathematical terms any super-organism as a quantic space-time network extended in i-scales of information and composed of n, non Euclidean points or individual cells: ΣEnóΣTi. Thus any super-organism is a particular case of the Generatrix Equation of quantic space-time fields, in which networks of spatial energy or bodies and networks of temporal information or Heads exchange lines of energy and information. Yet to understand that formalism in detail we have to digress for a moment and consider the structure of any quantic space-time network by defining a Non-Euclidean point, the fundamental element of a quantic network:

'A non-Euclidean point is a knot of spatial energy and temporal information, joined by a non-Euclidean line or geodesic flow of energy and information'.

Non-Euclidean points were philosophically described by Leibniz in his Monadology. They appeared first in science in the incomplete work of Mr. Einstein, regarding the Non-Euclidean structure of space-time. Euclid said that through a point external to a parallel only another parallel line could be traced, since the point didn't have a volume that could be crossed by more lines:

Abstract, continuous, one-dimensional point: . ^____________

Instead Einstein found that the Universe followed a Non-Euclidean 5^th Postulate:

"A point external to a line is crossed by infinite parallel forces".

There are 2 interpretations of this fact. We could consider that lines are curves, thus Non-E points are focus of multiple forces that bend to flow into the point. This is Mr. Einstein's preferred solution that defined a curved space-time. Yet Mr. Einstein's solution brings 2 logic contradictions: Lines stop to be lines and become curves, and still those curves have to become fusion into one as they approach the point. A second, more logical conclusion determines that the 5^th postulate can only be truth if a real point has an inner space-time volume through which many parallels cross:

Real, discontinuous, n-dimensional point: o ===========

Hence, as reality proves, any point can be enlarged when we observe it closely. Indeed, since reality follows that Non-Euclidean 5^th postulate, it follows that all points have a volume when we enlarge them, as cells grow when we look at them with a microscope. Then it is easy to fit many parallels in any of those points. Such organic points are like the stars in the sky. If you look at them with the naked eye they are points without breadth, but when you come closer to them, they grow. Then as they grow, they can have infinite parallels within them. Since they become spheres, points with breadth, with space-time parts... Abstract points are fantasies. Anything real has dimensional size. Thus the 5^th postulate defines a fractal Universe of super-organisms that grow in scale when we use thinner forces to observe them. And since there is not limit of size for electromagnetic and gravitational waves/forces, the Universe become a fractal structure of unlimited microscopic and macroscopic sizes.

Thus, the first important change that quantic space-time introduces in previous Non-Euclidean Geometry is a more realistic definition of its 5 postulates that define now a point with parts, a line-force of communication, a topographic plane or network of energy and information, and the relative equality between 2 of such non-E structures:

1^st Postulate: 'A point is a discontinuous form with an inner content of temporal energy'. 2^nd Postulate: 'A line is a wave of points' 3^rd Postulate: '2 points are equal when their inner temporal energy is equal' 4^th Postulate: 'A plane joins n points through flows of temporal energy'. 5^th Postulate: 'All points have apertures to the world through which multiple waves can cross'

Thus now a point will be a one-dimensional 'form with parts', as it has 'inner energy and information'. A line becomes then a bidimensional wave of points exchanging flows of energy and information, as points with parts become cycles. While a plane becomes a 4-dimensional 'holographic topography' with temporal height and movement, a quantic network of social points put together by n-flows of temporal energy. with 'dark spaces' in the holes of the network, and energy and information 'dimensions' to absorb energy and information. Since a dimension is a flow (dynamic version) or network (static version) of energy and information around which quantic, cellular points gather into bidimensional waves and 4-dimensional space-time fields. Even the smallest points gather in waves which are lines of points that scientists call strings with 3x3 inner dimensions. Those lines then gather in herds called planes. And planes gather in topographic, relative, ecosystems, in which those organic points communicate energy forces and informative bits, showing in this manner their systemic nature.

For example, each human is made of many quantic points of space-time, that in the specific case of a human being we call cells, gathered around informative, nervous networks and energetic, digestive and blood networks that give 4-dimensional volume to the human space-time field. But there are many types of points with parts gathering about networks of temporal energy: atoms in a molecule, stars in a galaxy, strings in a microcosmic piece of vacuum, etc.

In fact, once we have clarified that the Universe is made of points filled with temporal energy, it becomes clear that the fundamental mathematical property of those points-beings is its social nature. Since a number - the social unit of algebra - is a social set. While a plane - the social unit of geometry - is a social herd. Thus, the fact that all beings have mathematical properties means they associate in herds called numbers and planes, which are quantic networks made of Non-E points with a certain content of spatial energy and information.

And the sum of all those herds of points that aggregate in a series of systems and structures with discontinuous parts (humans made of cells, made of atoms, etc.) is the fractal Non-E space-times we call reality. Even the Universal vacuum, which seen from a macroscopic point of view seems a continuous, static emptiness, when observed in its microscopic scale becomes a 'foam' of space/time quantic energy, moving and fluctuating constantly.

In terms of size, the biggest of those space-times is the Einsteinian gravitational space-time, in which the luminous quantic space/time network seems to 'float' as a net in the water, occupying a mere 4% of it. Then we find 'floating' within that light-space a huge number of smaller, discontinuous masses and charges, or physical space-times points, some of which organize in complex, social networks which form the organic space-time of living beings like us. However all those partial quantic space-time points and networks are composed of 3 clear regions, which correspond to the 3 topologies of any 4-dimensional Non-Euclidean space-time:

2. The 3 classic Non-Euclidean geometries are the 3 zones of a Non-E point.

Non-E points were discovered in the XIX C. as ideal geometries of space. Einstein used them to explain gravitational space/time; but its quantic , empirical understanding is poor due to the error of continuity that considers only 1 Non-E space, the Universe, when there are infinite discreet Non-E space-times. In graph, the 3 zones of a Non-E point: - An informative center described by Belgrami as a cone of 'height' with a negative curvature.

- A central reproductive zone, described by Klein as a disk, made of quanta in cyclical movement that communicate energy and information between the 2 discontinuous inner and outer zones.

- An outer membrane of energy, described by Riemann's spherical geometries.

Lobachevsky was the first geometrician to define a Non-E geometry that Riemann generalized to all relative space/times. Latter Einstein used Riemann's geometry to describe the gravitational space/time, assumed, due to the error of continuity, to be the only real space/time of the Universe. Yet in a discontinuous reality, there are infinite Non-E space-times; and all of them can be analysed with the mathematical tools of Riemann, Klein and Lobachevsky, that describe the inner geometry of quantic space/time fields (physical jargon) that we shall call in the mathematical jargon Non-E points and its 3 quantic zones. If we put together the work of those 3 authors we obtain a complete description of any Quantic Spaces-Times field and its fundamental properties: - According to Klein, Non-E space-times have movement. So their 'speeds' measure their distances; as physicists do in Cosmology with the expanding speeds of spatial vacuum, which are proportional by a 'Hubble constant' to the distance of stars; or as people do in life with real space-time. So we say that Brooklyn is at 5 minutes by train from Wembley not at 5 miles. - According to Riemann, space is quantic, made of herds of points with similar 'properties'; and so it has a quantic density determined by its number of quanta, like the space defined by light does. So when a volume of spatial energy is very dense, it is very difficult to go through it, as it happens in the gravitational space close to black holes. Also Riemann's space-times might have beyond its discontinuous borders an inner space-time with several dimensions, one for each of its 'energetic or informative properties' as it happens with the points of physical reality, from strings to super-symmetric fermions. Hence Riemann through the concept of 'properties', defines a 'dimension' as a certain energy or informative network (static point of view), which 'puts together' points that share an energetic or informative 'property=flow' (dynamic p.o.v.). - Finally Lobachevsky and Belgrami proved that space is curved and indeed temporal information curves the spatial energy of any real space-time. So points move in curves, which are 'cycles', gathering energy and information through their 'dimensional networks'.

In the graph, those 3 abstract analyses of Non-Euclidean space-time define 3 different regions that structure all space-time fields (Physical jargon), all Non-E points (Mathematical jargon), all organisms (Biological jargon) and all entities (Philosophical jargon) of the Universe:

- Max. Information: An informative, quantized center or temporal brain, the so-called hemisphere of Belgrami, a Non-E space-time, with a dimension of height that transforms energy into information, absorbed or emitted by the central singularity. It is a quantized, informative region similar to a black hole structure. Since it follows the 'black hole paradox': Max. T x min. E. So according to the inverse properties of space and time, it has max. temporal information and minimal spatial energy.

- Max. Energy: An external, continuous membrane or Riemann's sphere of maximum energy that acts as a relative infinite, unreachable distance, creating the discontinuity between the inner parts of the point. Since the internal quanta points are either jailed by the membrane's structural density or destroyed by its energy when touching it. The membrane is the opposite form to the central, informative singularity, with max. spatial extension and continuity, hence with a minimal number of quantic, discreet elements: Max. E=Min.T.

- Energy=Information: A middle volume or intermediate territory, discovered by Klein, which combines the energy coming out of the membrane and the information provided by the center, in quantic herds of 'points with parts' in perpetual movement, that draw cycles of "parallel lines". Those inner quanta are confined within the Klein's disk by the 2 other regions, which have more energy and information and might destroy them by overdrive or absorb their energy and information at will. Thus, Klein introduces the concept of an infinite, relative distance measured in terms of time and movement. Since in any discontinuous world the infinite are those insurmountable borders the inner time-space quanta can't cross, as a cell cannot go out of a body, an atom beyond C speed or 0K temperature and a man beyond the Earth's atmosphere. Further on, since those 2 relative infinite limits make any temporal movement of an intermediate point towards the inner informative singularity or the external, energetic border, eternal. As in the myth of Achilles and the turtle, Achilles never arrives because every time it moves it crosses a smaller spatial distance. The same happens in a Non-E space-time, when a point moves temporally towards its inner or outer spatial limits and finds an increasing resistance to its movement, till finally it is deviated into a cyclical trajectory around the outer, energetic membrane or the height dimension of the inner informative singularity. So the intermediate, quantic cells of the point circulate in parallel cycles always inside the interior of the sphere with contact zones of the type "A" (central figure). For that reason Klein interprets the intermediate region as a circle with an invisible, unreachable membrane, equalling the 'space-time distance' between the intervals B1-B2 and B2-B3, despite being increasingly shorter in space. Since the quanta take longer in each step and don't reach the membrane.

When they do it at point C they become destroyed or deviated. Thus, the energetic membrane and informative center are the discontinuities that isolate their cellular quanta of temporal energy and create a discontinuous 'World' within the point. Those discontinuities are called in Geometry a relative infinite, in Biology a membrane, in Sociology or Topology a border. They explain the existence of many different species, which occupy a limited region of spatial energy and last a limited time. So we define a Non-E point as:

'A curved region of energy & information quanta, with cyclical movement, confined by 2 limits, an external, spherical membrane of max. energy and an internal informative nucleus.'

3. All known 4-dimensional space-times can be reduced to those 3 Non-E regions.

The 3 topologies of a 3-dimensional space are the 3 zones of any quantic space-time of the Universe.

The capacity to describe all space-times of our Universe that those 3 regions have is 'absolute' as Topology, a branch of mathematics that classifies all possible space-times, has discovered. Since all possible forms of a 3-dimensional space can be reduced to those 3 zones that build the quantic geometry of any form of reality, whose inner parts can be transformed into the 3 Non A-E forms. The graph shows how any form becomes a Non-E zone through topographic symmetries:

- A sphere or volume "without holes" becomes a Riemann's external sphere or membrane.

- A toroid or any volume with a hole can be turned into an intermediate plane equivalent to the central Klein disk (if we cut it we have a cylinder that we develop into a plane).

-While a volume with multiple holes can be turned into a topography with negative curvature and a convex surface, homologous to the central hemisphere of Belgrami. And so our 4-dimensional Universe is indeed a sum of those 3 Non-E zones with clear geometrical forms and properties.

4. The equivalent Non-E regions and their organic ones.

The variety of real organic spaces that Non-E geometry explains is enormous. In the graph, an animal, an embryo, an electromagnetic flow, a black hole, a proton, a seed, a planet, a cell and a bosonic condensate: all of them can be described with the ternary structures of Non-E geometry.

In the graph, Universal species are space-time fields, structured in 3 Non-E basic formal regions:

- A central, very quantized, evolved, 'future' zone, dominant on temporal information. Which invaginates into 'informative networks' that spread throughout the other zones. - The external membrane that isolates the being: A relative, simpler, energetic, 'past' zone of lineal structures with little information and a lot of energy. - An inner, reproductive region of mixed S-T quanta, which perform the 2 arrows of the universe of the system, mixing external energy coming from the membrane and internal information from the center to create new informative and energetic quanta, specific to the space-time field.

As points evolve and develop specific structures, they become 'invaginated' by energy and information networks departing from the outer and inner regions of the point that spread through the intermediate zone to control the S-T quanta, creating in this manner the morphological variety of quantic space-times we observe in the Universe, which however can be reduced to the previous functional elements. Those 3 zones are homologous in form and function to the 3 internal parts of most real, quantic space-time fields, from the cell to the human organism, from an atom to a star to a galaxy, which have an informative center, an energetic membrane and an intermediate zone.

For example, the human being is a non EA space-time with 3 inner networks-dimensions: the physiological networks of nervous information, the digestive system of energy feeding and the blood network that combines energy and information, to which are attached a number of 'space-time' cellular quanta that reproduce all kind of glandular substances, creating together a human being. While a nation is also a sum of human quanta, (its citizens), joined by networks of energy and information (legal, religious and cultural networks and economic systems).

In the graph we show the Non-E structure of Universal species according to those 3 quantic zones:

- The singularity of max. quantic information: the knot of quantic information 'or brain' of the system is located in the center or z-axis: it is the spin axis of atomic particles, the seed of fruits, the crystalline nucleus of a planet, the DNA spiral of cells, the height dimension where bosons condensate in matter, the spinal chord of the nervous system in living beings, the genetic nucleus of the embryo, the yolk in the egg, the axis of any electrical current, the vortex of the black hole in the galaxy, the nucleus of the atom... - The continuous membrane of max. energy and strength that limits and isolates the system. The Non-E point reaches its max. extension, structural hardness and linearity (that is, the minimal curvature of its cycles) in the external surface of the sphere, the skin that exchanges energy in contact with the external organic territory of the point. Some examples of those membranes are the electron orbital in the atom, the skin of the tomato, the crust of the planet, the membrane in the cell, the placenta of the embryo or the halo of dark energy and matter in the galaxy. - And between both limits, the intermediate space-time filled with reproductive, cellular quanta that combine energy bites and information, absorbed from the external world by the other 2 regions. They are the cells of the body, the stars of the galaxy, the carbohydrates of the cell, the planetary magma, the pulp of the seed or the electromagnetic forces that circulate within the atom.

Thus all Non-E points are 'inner worlds' whose discontinuity defines an External Universe or outer world from where the point obtains its energy and information. Since most points, despite being discontinuous, have in their external membrane several generic openings or 'senses' joined to the informative networks or 'brains' and energetic, 'digestive networks' of the superorganism:

- Max. +E: A 'mouth' or opening that absorbs energy. -Max. -E: A 'cloaca', through which the cyclical body expels its temporal energy. -Max.+i: An 'eye' through which the informative center receives external information. -Max. -i: And an 'antenna', through which it emits information.

Those apertures vary in their number, location and size, depending on the form of the point. In the simplest, initial spherical 'seeds' of most species, they are mostly situated in 3 regions:

- Max. E: The Equator of the system, through which the membrane absorbs energy - E=T: The Tropics, in systems that use the same opening to emit and absorb temporal energy. - Max.T: The Poles or points of confluence between the membrane and its central informative region of height, which hits perpendicularly the membrane on those poles. North and South Poles orientate anti-symmetrically, acting as 2 relative, negative and positive apertures, communicated by the height dimension of the singularity or Belgrami hemisphere. Thus the Positive Pole absorbs temporal energy that crosses through the central singularity where it is absorbed and ejected to the intermediate region where it is re-elaborated before its emission through the negative Pole.

Some examples of those apertures are the senses, the sunspots, the magnetic poles of a planet or black hole, the spin or radius of a particle, etc.

5. Non-E points evolve into morphological organisms that keep its 3 functions.

In the graph, the informative egg, and energetic, larva phase of most animals translate the inner, informative center to the Head region and the external membrane to the 'tail', inverting their positions as the informative function of the egg is substituted by the energetic function of the larva

 

Yet morphology is flexible, adapting itself to the 3 possible, E, et, T environments:

- Max. T: The spiral or spherical 'still', cyclical form that packs and focuses the maximum information in minimal space is preferred in a 3-dimensional, homogeneous, 'safe' space or when the form is born as a 'seed' of genetic information. Those specialized, informative, still points have an external, spherical, rigid, still, symmetric membrane that can 'focus' information into an accurate, reduced image of the Universe. On the other hand, since energy-information flows occur within the borders of the world, the informative singularity that orchestrates those flows, occupies the central axis with a dimension of height, moving linearly as it orders the inner world. Some examples are: a cell with DNA, or a spiral galaxy with a tall black hole and a Halo.

- Max. E: Lineal, spatial, energetic, moving forms are common in moving worlds with directionality. Then the energetic system occupies the 'tail'; the intermediate organic elements, the center; and the informative senses occupy the top 'Head' in the direction of movement to absorb and control the 'future', energetic and informative flows that come from the forthcoming region, which the organism will occupy in the future. Some examples are: a train wave with a singleton 'Head', the glycine or a shark. All of them have their Heads upfront, with their energy cells on its tail.

- ExT: In complex, space/times existing in the limiting surface between 2 discontinuous regions, the form mutates between energy and information morphologies in 2 different ages as in the graph, or depending on the environment and function it performs, as spirals do; or it becomes discontinuous with quantized triangular legs to process energy, hands to emit information, tails to control directionality, eyes and antennas to absorb information, etc. It is the case of life beings that exist in discontinuous surfaces between the atmosphere and the ground or the water. Thus the morphology and relative position of the energy and information elements of a Non-E point adapt to the ecosystem in which it exists. Yet its 3 Non-E regions and its parallel energy, informative and reproductive functions are maintained.

A galaxy, a DNA molecule, a tornado, a shell and a sunflower have all a spiral form, the most efficient and hence commonest form of any space-time field, since it can easily mutate between a lineal and cyclical form, opening or closing its arms. The homology and similar structure in time and space of all Universal entities shows the existence of an impersonal design in all forms of reality that obey the quantic laws of space and time.