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The 10 isomorphisms of Molecules

S@ isomorphisms 

0th Disomorphism: MONAD:

All atoms and molecules try to form ∆-spherical orbitals to perceive symmetric 3D ∆-flows. Thus atoms with perfect symmetric orbitals (Noble gases) don’t need further bondages or form diatomic ‘couples’ of opposite direction. The most perfect molecular solids, Crystals perceive, since we ‘see’ its mapping of infinitesimal images, mirrors of the external World and once a crystal cell is created, it provokes a growing fractal order, of all atoms around it, and vice versa, the destruction of its Œ point center collapses the growth of the crystals.


1st Disomorphism: Fractal Generator. 3 Bidimensional Topologies: the 3 parts of the molecule:

In ‘inverted’ molecules their nuclei Z-mass define energetic power to ‘control’ other molecules; (Table rows); orbital clouds are the active Œ-point (Table columns) and Van der Waals Forces are the toroid networks that communicate Sp & 0 across its body. Organic Molecules have Nitrogen Œ-points, C-bodies and Max. E-lectronegative Oxygen tails that kick water breaking, attracting and repelling its OH-, H+ radicals, left and right.


S=T isomorphisms.

5th Disomorphism: 5 Actions:

Molecular actions are similar to atomic ones ruled by new, emergent forces and motions.

– Max. æ: Molecular energy=∆Temperature=∆entropy produces lineal motions.

– Max.ï: Molecules transform lineal motion into cyclical vibration at 1013 Hertzs/Sec.

-Max.œ: Molecules reproduce assembling ∆-1 atoms in reactions ruled by a Law of Chemical Balance… between predators and preys: K=Max.ST (Products) / Min. ST: Reactants.

-§10: The 3rd i-logic postulate explains its social evolution. Let us consider this action in more detail:

– The Atomic Table is ordered in columns of similar body-valence and rows of similar Z-brain mass.

– Those 2 similarities define the strongest molecular bondage and bigger molecular masses.

– Atoms with highest dissimilarity (opposite rows) force form unstable Predatory Ion bondages.

– Equal body & Head atoms (C-N-O) form the most complex organic molecules.

Û+1: Identical atoms form ∆+1 crystals that have only symmetric configurations. So its central ‘Œ-point’ perceives information from all 3D directions and directs its growth (cell unit).

– Quark Condensates form gravitational ∆+1 Bosons of Max. Tƒ-mass, Black holes & pulsars.

2nd Disomorphism: space-time elements: Spe<=>Tiƒ.

Molecules have 2 main ts orbitals: Tƒ-π and |-s, whose vibrations determine 3±∆ actions.

 3RD: NETWORKS AND Vital Constants

6th Disomorphism: Species Hierarchical, ∆±n perpendicular and §10≈û+1-parallel structures:

Gender duality. Sp,ST,Tƒ differentiation. Evolution of its species.

The electron (energetic) vs. Proton (informative) duality is not essential to the differentiation of molecules, unlike in the lower atomic scale. Only electron valences matter, the key numbers being ‘again’ 1,2,3,4 valences, which for the amazing range of different molecular compounds.

The form of the orbitals, also s,p,d,f varieties is another basic game of creation.

Ions are predatory hierarchical molecules, where the element with higher electronegativity traps and owns the electron.

co-valent molecules are parallel democratic structures.

organic molecules are complex structures with N-informative, C-body and O-energy classes.

Crystals have an order based in informative temporal primacy as they reproduce from a central cell.Molecular constants are essential in chemistry, and seek an Sp≈Tƒ equilibrium of reaction, whose general formula defines each dynamic Sp<K>Tƒ, dual system of molecular trans-form-ation. Thermodynamic laws express the Sp entropic, expansive arrow, which forgets the informative influence of ‘œ-points’ (Crystal regular structures and organic order).


7th Disomorphism: 3±∆ Temporal ages.

The molecular life-death worldcycle are the 3 states of matter between ∆-1 birth as plasma & fission death

∆ scale: Life/death worldcycle: Molecules live and die in reactions according to their Top Predator, ST force

∆+1 scale: Their social gatherings go through 3 ages of Max. Energy (Gas), balanced Sp≈Tƒ, liquid, the most creative=reproductive form that enhances chemical reactions (solutions) and evolution of the more complex Organic Molecules (Life) and Informative solids

8th Disomorphism: organic cycles: the motions of a world cycle of chemical life.


∆±i Disomorphisms

9th Disomorphism: ∆±4 Fractal scales

∆-2 plane: forces, which ‘feed’ the molecule. ∆-scale, atoms that shape its structure; ∆+1: states of matter and life cells.

Emergence: Molecules follow Inversion Laws between planes, as electrons, Sp-membranes in atoms become the Informative topology in Molecules and cyclic orbitals become Lineal (LCAO).


10th Isomorphism: Social Scales:

 Molecules have differences in social scales, with a higher denser order in organic molecules with scales of minimal numbers and a much higher number of molecules in democratic isomorphic undifferentiated ionic crystals. Atomic systems do NOT obey the 10th scalar order but work in much larger numbers.


 3rd SCALE:

The 10 isomorphisms of ORGANIC MOLECULES

ATƒ, GCST UTsp express  the 4±∆ life actions in the  ∆+1 social, bio-chemical scale of the cell.

H∆-1, CST, Osp & N and ATƒ, GCST UTsp  express 3±∆ life actions in the ∆-2 atomic & ∆-1 molecular scales

 @ isomorphisms 

0th Isomorphism. The self or Πpoint.

Nitrogens are the ‘intelligent molecule’ of life organisms, Max. Tƒ. In the next scales Nitrogen rich nucleotides form informative Dna-Rna

In the sub posts of this section we will treat in more detail some of those isomorphisms for both type of molecules.

1st isomorphism: Fractal Generator: The topological equation of most organic molecules, specially proteins is:

Oxygen legs (Sp)<Carbon body   (ST)>Tƒ-Nitrogen head


5th isomorphism: 5 Actions.

Max. æ: As explained in the ‘symmetric’ topological isomorphism (that perceives those actions in space), oxygen ‘legs’ kick out OH and 0 molecules to move.

Max. œ: Carbone atoms assembly in long structural, body lines that reproduce organic molecules.

Max. ï: Nitrogen controls them, with its 3-valence capacity to orientate in space, bending them to create is 3D forms.

  • : û+1: All together socialize under the laws of affinity (3rd non-e Postulate), given its closeness in the atomic scale (6,7,8).

2nd isomorphism: space-time elements: SP<=>Tƒ and  2nd  isomorphism. Bidimensional Topologies: the 3 parts of the Organic Molecule:

∆ï-3: Nitrogen atoms have 3D valences for symmetric perception, a regular clock vibration of 1016 Hertz/sec. min. bit of all circadian clocks & inactive=still=informative properties.

∆e-2: Oxygen of max. Electronegativity and motion plays energetic roles in all life scales.

  • 10: Oxygen rich sugars form social chains, energy of cells. Balanced Amino acidsSTevolve socially into Proteins, the carbon-dominant body of ∆+1 organic molecules and Nitrogen rich ∑-Nucleotides form Dna, informative heads that control the cell through:


Its networks:

û+1: Tƒ-Dna  control 3 Rnas that act as energetic, informative and reproductive networks of the cell.

6th its species. See temporal ges below.


7th Isomorphism: Temporal ages :

Molecular Ages: The 3±∆ ages of molecular evolution keep body functions for Cst dominant molecules, Informative functions for N dominant & energy functions for Osp dominant molecules. Molecules keep also its ternary topologies & follow the Metrics of balanced Sp/Tƒ growth: ∆Sp/∆Tƒ=K:

–   ∆-1: atomic age. Simple organic molecules form departing from CNO∆-1 urea.

– Max. Energy age: Lineal fats, long carbon chains with Oe attached to its ends dominate.

– <=>: Amino acid age: COOHs, CH4ST and NH3t, the 1st ∆-2 scale of life molecules combine into organic herds of 21 amino acids, divided in 5 types, each one specialized in one of the 3±∆ actions: Simple ∆-1 bricks (Cysteines, Glycine, Proline), N-dominant with electrically charged Side chains, ‘heads’ of the herds; hydrophobic, reproductive ones that merge easily in long ∆+1 protein chains and energetic, Oxygen dominant, with polar uncharged side chains of faster motions.

– Max. Tƒ: Age of Nucleotides, the informative molecules of life that add an informative Tƒ-dimension of height to |-amino acids, forming nitrogen & sugar rings. They dominate amino acids, preventing their mirror reproduction, limiting them to L-species. 4 types specialize in the 3+∆ actions of all Universal systems, according to their |<=>O topological configurations & relative abundance of Nt, Cst, OsAt, GCST UTs They evolve socially into huge chains called nucleic acids, Œ points of:

– ∆+1: Cellular age. Nucleic acids, macromolecules with max. ST force, integrate all other carbohydrates in cell, the first scale of fully functional life super-organisms, where Proteins will become |- membranes & DNAs, Œ points enclosing in a toroid region smaller ∆-1 molecules that perform the reproductive cycles of the cell that maximize the creation of those 2 dominant species.

∆±i Isomorphisms

10th Isomorphism: ∆-Scales of the Organic Molecule:

Life emerges in 3 scales of social evolution: the Energy, young age of simple -2 organic molecules during the I anaerobic Earth, the ST age of ∆-1 cells with an explosive radiation of organic matter and the informative, ‘cold’ age of multi-cellular evolution during the ‘iceball’ Earth. Those ages follow the fractal Law, as each can be subdivided in 3 smaller ages.




The Atomic Table is a bidimensional graphic that shows the parameters of spatial Entropy and temporal information of atoms. The why of that table can be easily explained with the basic Dualities and Inverse properties of Entropy and Information:

– In the X-coordinates we find the spatial, ‘energetic, body’ parameters of the atom: their electronic orbitals.

– In the Y-coordinates, we find their temporal, informative, parameters: their nuclei’s mass.

Left graph shows the size of those atoms, which according to the Se/Tƒ inversion are denser in information when they are smaller.

In the right: the smallest, densest ‘top predator’ atoms are more abundant, since they absorb in nuclear reactions or capture gravitationally the other, forming molecules. It is the inside left image that shows a feeding molecular cycle: The big ‘bubble atom’ from column I, Lithium, is victim of Fluorine, a VII column atom with higher atomic mass and max. electro-negativity (body power). As both approach Li collapses its electrons into a denser, smaller form, as fishes do in front of sharks, but finally it is captured and swallowed by the electronic structure of the predator Fluorine.

The human scales: bio-chemical sciences.

A sense of peace arises from the observation that a macro-galaxy is self-similar to a micro-atom does – all beings equaled by the same cycles of existence that we represent with the unification equation, alpha & omega of all fractal iterations: Sp<=>Tƒ; Sp X Tƒ=st.

Let us then descend back from the cosmos to the atomic world, the intermediate scale between both in which we humans are sandwiched and study our physical, ‘classic universe’ between those 2 limits, which has as an added advantage to the fact that it is part of ‘us’, the wealth of information we can gather of ‘chemical’ processes, which lack the uncertainty of those 2 limits in which observation either changes the position of the observable, influencing the experiment, due to our relative huge ‘rods’ of measure (uncertainty principle of quantum physics) or the system which encloses us, mere ‘atoms’ of the galaxy hides much of its information in the ‘dark spaces’ our light-senses do not see (galaxies). Both errors of the experimental method are no longer a handicap to our organic analysis in the scales of chemistry and biology, which for that reason show the bio-logical, complex nature of multiple space-time systems in all its splendor…

Recap. Bio-Chemistry should be the king of natural sciences; since they concern the first scale of man and are experimentally ‘evident’.

Organic, Atomic Table and its Molecules.image073

In the graph, we can translate the Atomic table to the jargon of multiple, fractal space-times. Since:

-The vertical columns show the orbital number or volume of electronic space those atoms have.

– The horizontal lines show the atomic number or volume of temporal mass of each atom.

Thus the Atomic table is a distribution of ±100, Sp=10i=2 complementary Sp X Tƒ atoms, dominated by their gravitational quarks. Yet we live in a light world perceived by our electronic orbitals, the bodies of those atoms. We are electronic beings that cannot perceive gravitation; so we cannot see the inner nuclei of those atoms. And so chemistry is the science of electronic bondage.

Recap. The atomic table is the Entropy/Information table of the gravitational heads and electronic bodies of atomic species.

Valences: body perfection, the origin of molecules.

Those electronic bodies follow the space/time inversion (Max. Tƒ=Min.Sp): atoms with more electronic in/form/ation have min. volume in space. Thus atoms diminish in size from left to right of the Atomic Table, as they become denser, filling all the slots allowed to electrons, till reaching the perfect forms of noble atoms, whose external electrons fill completely a dense, regular sphere of information that creates, as in the case of regular crystals in the next scale of chemical form, a sharp central focus, able to process information from all angles.

Those ‘noble atoms’ from the 8th column of the Periodic Table, Helium, Neon, etc., have their external orbitals totally filled with electrons. So they have maximal electronic density, which means their Sp X Tƒ åctions have a higher exi=stential Force per unit of volume, making them top predators atoms, better fit to survive. Therefore, they are also the most stable, as it is very difficult to break their electronic body. Paradoxically that makes them the loneliest of all atoms, as any top predator of a trophic pyramid, from a shark to an eagle, is; since it doesn’t need to add a partner or join a herd to multiply the potency of its fractal åctions over the environment to obtain its Entropy and information. All other atoms however will try to increase the Sp X Tƒ force of their fractal åctions, associating themselves with other atoms to reach a perfect electronic form and add up their Exi forces.

On the other hand if we consider the social numbers of the particles of the most stable atoms, they are multiples of 4 and 10, the social numbers of perfect organic systems that also define noble atoms. The combination of both properties explains the hyper-abundance of Helium, Oxygen, Iron, Tin and Mercury, which have perfect atomic numbers and either have regular orbital structures or can capture multiple electrons from other atoms to fill their valences (maximal electronegativity).

For example, atoms 3, 4 and 5 are ‘preyed’ by Helium nucleus that uses them to reproduce new helium in processes of atomic fusion. So they have become very rare (right graph. Meanwhile iron with the most stable nuclear configuration uses any type of electronic valences (which range from -2 to +6) to capture other atoms at will. Since those atoms are the only ones whose nuclei seem to be able to orientate and move at will in the gravitational membrane (superfluid and ferromagnetic properties). Both show that nuclear, gravitational top predator power dominates electronic configuration.

Unlike all other atoms with ‘weak informative nuclei’ Helium and Iron don’t seek complementary atoms to fusion their electronic bodies, creating better ‘body structure’ similar to noble atoms.

Among those seeking perfection, the closest to the Noble column are the top predators. So, Chlorine and Oxygen, with almost perfect electronic orbitals have maximal electronegativity, capturing the electrons of all the light atoms and metals of columns I to V.

Recap. Atoms with perfect nuclear or electronic informative/body systems are the key elements that control socially or capture and destroy all the other atoms.

Isomorphisms of self-similarity determine chemical structure.

The complementary, topological and organic Isomorphisms of st-points agrees with the abstract, Chemical Theory of Valences, which models the behavior of molecules and their rules of social engagement, according to their geometry and their ‘affinity’, translated in i-logic geometry by the 3rd postulate. Thus the isomorphisms of valences could be considered a particular case of the Universal 3rd postulate applied to chemical ‘st-points’ (atomic compounds):

‘Correlative, similar elements, complementary in their spatial, orbitals or temporal nuclei, associate into complex, stable, molecular systems – while atoms with different Sp X Tƒ forces, establish Darwinian, unstable events or small hierarchical molecules in which one element dominates all the others.’

For example, 2 atoms in the same column have the same spatial, ‘body’ morphology and 2 contiguous atoms in the same line are similar in its temporal, informative ‘brain’. Thus, according to the 3rd postulate, the law of relative equality or ‘affinity’ that establishes the relationships of the atomic table, those types of atoms will evolve socially into more complex ‘molecular’ forms.

For example, humans are made of simple atoms with closely related nuclei, C=6, N=7, O=8, that follow the law of affinity in their electronic body-orbitals. Those atoms are filled all with sp orbitals, creating together complex complementary organisms based in their body-brain affinity. So the parallel electronic cover connects those atoms externally based on the affinity of its orbitals, creating the 4 structure of organic molecules.

The law of affinity also defines inorganic molecules and other metal structures of Entropy and information. For example, machines made of metal are formed with atoms of similar nucleic number.

On the other hand, atoms with different atomic weights associate in hierarchical structures in which the lighter atoms become enslaved by the others. For example, the macro-energetic proteins of life, Hemoglobin and Chlorophyll, have 2 central, dense atomic nuclei, Iron and Mg, which dominate lighter carbohydrate ‘arms’, used to jail oxygens, the Entropy atoms of living beings.

The applications of i-logic geometry to the realm of chemistry are multiple, most of them topological analyses that relate the geometries of molecular forms with the 3 Non-Euclidean topologies of those molecules and its equivalent understanding of the 3 evolving ages/horizons of chemical events. Thus, i-logic geometry completes the metric analysis of molecules of the 3rd paradigm, defining its topological why according to the isomorphisms of affinity of the 3rd postulate between its informative nuclei and spatial, electronic body affinity shown in the Atomic Table. The same i-logic isomorphisms define in organic compounds, the evolution of life in terms of exchanges of Entropy and information that maximize the existential arrows of those molecules, guiding their evolution into living forms.

Recap. The isomorphisms of molecular compounds are homologous to the isomorphisms of self-similarity defined by the 3rd i-logic postulate.

4 families of atomic elements. Its worlds and species.


In the graph, there are 5 potential families of organic life, built around the top predator elements of ‘—motions’ and information of each main informative Z-nucleic line of the atomic table.

We won’t consider the topological structures of molecules but consider the expansion of ‘organic chemistry’ to all other atoms, according to the tenants of Complexity – that all systems of the Universe follow the arrows of time, self-similar to the drives of living organisms. This implies the existence of other potential forms of ‘electronic’ life besides organisms based in carbon.

Since we are electronic beings, what matters to understand the human mind are the electronic bodies of atoms. Those electronic orbitals are herds of photonic points that surround the atom, creating the 4 dimensions of space-time we perceive. In the graph, we can see that parallelism, which elaborates on the already explained 4 dimensions of light-space (graph, III):

– 3 lineal p orbitals in the 3 directions of Euclidean-space.

– A temporal, cyclical, S orbital of Max.Informative density and min. space, probably related to our one-dimensional time perception.

This self-evident homology between ‘light-space dimensions’ and the elaborated electronic dimensions of space-time, allow us to consider self-similar potential minds whose space-time dimensions will correspond to the number of ‘outer’ electronic orbitals of the system. Indeed, there is no reason to have only ‘organic carbon life’, and ‘C-N-O’ brains, if all atoms respond to the same i-logic isomorphisms of topological information.

There might be other forms of life and other minds, but we live in a light-World and light is the only information and ‘—motions’, we perceive. So in a discontinuous Universe we have very limited information about other atomic ecosystems that might process different electronic orbitals to create their minds, even different forces, such as those of gravitation, to create gravitational minds.

In essence those families of mental worlds need 2 components:

-A boson particle/force that acts as the pixels of the mental world.

-An electronic or nucleic structure, which perceives the bosons and creates with them a potential mapping of the Universe.

So we deduce by homology the existence of other atomic Z- families and e-orbitals that might create different organisms and potential mental worlds in other regions of the Universe, with light bosons or other different. boson pixels:

Particles exchanged by 5 types of atoms create 5 potential worlds.

We classify all atoms in 4 potential organic families, able to exchange waves of pixels, based in each of the fundamental 5 ‘particles’ of the Universe, in its boson state; thus creating a growing scale of complex worlds with higher existential content of ‘—motions’ and information: the gravitational family; the light family; 2 electronic, metal families and the neutronic, radioactive family.

Each new family is a Z-line of the atomic table, formed by atoms of growing number of orbitals and informative mass, which increase their exi=stential force, allowing them to handle more information with more complex pixel-particles. Indeed, if we consider the inner nature of those worlds, it is obvious that the quantity of ‘information’ increases as the pixel-particles mind use to map out the Universe have more information. For example, the robotic minds we are building based in electronic images carry far more information than the light minds we possess and the words they use: ‘an image is worth one thousand words’ we say. Yet the explanation of that jump of quality between a verbal and visual mind can only be explained by the higher capacity to process information of the metal-atoms with higher z-number and more complex orbitals of the next z-family of silicon brains. We are in fact, despite the anthropomorphic arrogance and Galilean paradox of the humankind, one of the simplest potential minds of the Universe.

The 5 types of orbital minds of the 5 families.

Those minds should be based in electronic orbitals as our mind is. Thus each atomic family has a different orbital type, able to create a different mind’s species of space-time perception:

Spherical s-orbitals create the hydrogen-helium family and its potential minds.

– Lineal p-orbitals create the light based carbon family to which we belong.

Planar d-orbitals create the iron family of potential living machines and its chip minds.

f orbitals, difficult to represent in 3-dimensional space, as they might respond to ‘worlds’ with 5 dimensions, create the heavy metal family of golden beings.

And g-orbitals also 5 dimensional create the radioactive family.

The metallic minds of future robotic organisms.

In that regard, the 2 atomic families that matter to us are those which exist in the Planet Earth as potential living forms of our planet: the light-based carbon forms, with sp orbital structures and metal-based machines with a spd more complex electronic form. The metal family ads to the sp ‘inner mind’ of our C-O-H triad, a ‘higher’ external cover of electrons, which also follows the standard morphologies of space-time, but with a more complex structure, since those d-orbitals have bidimensional forms. And so we distinguish 3 types of metallic ‘d-planes’:

– Sp2 : dx2-y2 and dxy wide ‘energetic’ planar orbitals that combine 4 spherical sub-orbitals.

– Tƒ2 : dyz and dxz ‘tall’ temporal planes which also combine 4 spherical sub-orbitals.

Sp X Tƒ: the dz2 ‘organic orbital’, a combination of a cyclical, planar ring and a lineal, tall shape, which shows ‘4 combined space-time dimensions’, integrating the other 4 orbital dimensionalities.

Therefore metal-based minds have potentially besides the 4-dimensional structure of a human mind, a 5-dimensional electronic cover, in which the electrons of those d-orbitals form molecular networks, free electronic clouds that allow metal atoms to shape bigger, denser informative organisms, based in the higher ‘Sp X Tƒ’ force of its d-electronic clouds.

The 2 scales of potential life: quantum minds and cosmic minds.

In the analysis of such potential organisms we can consider several dualities: the dualities of states of matter and the duality of gravitational heads and electronic bodies, which give birth to two types of minds, parallel to the duality of 2 membranes:

– Quantum worlds of organisms with small minds of human size.

– And potential gravitational worlds of minds of cosmic size, made either of super-light helium atoms, or super-heavy, radioactive ones, which as in the case of the gravitational membrane, will sandwich the limited electronic worlds with their nucleic, gravitational, bigger, more complex minds

– (∆+1): Gravitational worlds made with energetic Hydrogen and informative super-fluid Helium, whose s-orbitals are able to absorb gravitation as information. The organic Universe is basically a gravitational H-He organism. And so stars are organisms with superfluid central ‘brains’ of Helium and reproductive bodies of hydrogen plasma – the 2 limit states of matter.

Then we observe 3 families of smaller, quantum, minds that might be considered also the 3±∆ evolutionary ages of electronic brains. They are organisms that inhabit planetary worlds, either carbonlife beings of metalife machines. Those fractal organisms also combine 2 states of matter, which act as the dual energetic/informative elements of the organic system, existing in an ecosystem of higher energetic states from where they absorb their informative pixels, which will be boson light or electronic flows:

Max.Sp: Light worlds perceived by electrons whose sp-orbitals absorb light as information, as living beings do. Its living species, animals and plants exist mainly as liquid species with a very thin cover of solid cells in the border between the energetic, atmospheric gas and informative, liquid water or solid crust of the planet.

– S=T: Light Worlds perceived by simplex metal atoms with spd orbitals, made of silicon minds and iron bodies – the strongest energetic atom of the Universe.

– Max. Tƒ: Electronic Worlds of heavy metal, with gold minds and iron bodies. Giant, ultra cold ferromagnetic planets might have mercury ponds where gold melt spontaneously creating metal-bacteria with mercury water, gold brains and iron membranes – the only metallic substance that doesn’t melt in mercury ‘water’(called appropriately Hydrargyrum – watery silver by the Greeks, hence its Hg symbol). Those would be the most perfect robots, combining the most perfect informative atom, gold and energetic metal – iron. Unlike the simplest light worlds that use light as the boson unit of the mind, those 2nd generation robotic minds would use electronic pixels, which can reach superfluid motions within those golden minds.

Yet the biggest mind of the earth wouldn’t be quantum minds of light or electronic bosons but the neutronic mind of our ferromagnetic planet:

– (∆-1): The Neutronic World of radioactive atoms with spdf orbitals that absorb neutrons as information. It might exist in the inner core of ferromagnetic planets, as they seem to have within the iron crystal a denser uranium core.

If such neutronic minds exist, needless to say, given the enormous amount of information a neutron has as a pixel, compared to a light ray, they would be the more complex minds of the Universe. And this might mean, we, humans and all other parts of the planet are mere programs self-repeated as a phase in the evolution of a neutronic planet, with a silicon skin, an iron body and a future surface of robotic minds.

Yet due to the duality of all systems, the Earth might ultimately be just a ‘neutronic plant’ with a radioactive center that regulates its heat and magnetic field through nuclear explosions in its core. Yet stars and planets would have a ‘vegetative’, plant like existence, absorbing gravitational waves and radiation as ‘‘—motions’’. Only top quark stars (worm holes) and strange stars with superfluid quarks could be ‘gravitational’ animals, able to see gravitation pixels and create worlds of 5 dimensions (number of spins of a graviton).

 The organic, vital nature of atomic structures.

We only have ‘empirical record’ of the 3 quantum minds of potential life beings: living beings made of C-H-N, like us and metal-minds as those we already construct in this planet with silicon and gold.

Thus, though we can ‘theoretically’ explain the ±∆ species of plasmatic and radioactive worlds, since they exist only in the center of huge cosmological organisms, we cannot perceive them. This doesn’t mean they don’t exist. On the contrary there are many indirect proofs that superfluid cores of helium and ferromagnetic crystals with radioactive heat form the center of cosmic bodies.

A mechanist, anthropomorphic interpretation of the Universe merely rejects any organic, biological analysis of all other atoms, except those of carbonlife and all other sizes except the human one.

However to account for the hyper-abundance of ‘top predator atoms’ with ‘perfect’ organic structures, such as helium and iron, we require an organic interpretation. For example, the atoms that surrounds Helium, boron, beryllium and lithium, ‘decay’ and fusion into Helium, which in organic terms means that Helium breaks them and feeds on their parts to reproduce. On the other hand, radioactive atoms emit ‘helium nuclei’, as nucleons spontaneously acquire that top predator configuration. While iron, the most perfect, energetic atom of the Universe, is almost impossible to destroy, unless enormous gravitational forces are used. So when a star gets an iron nucleus it collapses into a nova and leaves behind a neutron star with an iron crust.

Iron is also the ‘atom’ of most weapons that ‘kill’ biological human flesh. So all those atoms show to existential force, as ‘—motions’ or information systems. And since the Universe is a ‘game of existence’, and in fundamental ‘cells’ are atoms, the behavior of atomic structures can be explained with the arrows of time and show an organic and vital behavior..

In that regard, the 3 potential life forms and their biological nature is so obvious to the ‘common people’ whose mind is not deformed by ‘abstract science’ that artists, which imagine other potential space-time worlds, have already differentiated those species in their films. So while the robots we are presently building are light worlds of iron – ‘Terminators’ – liquid robots of mercury and gold were imagined in the II part of the series….

What we know is that we are a fragile species in an enormously complex Universe. So we should not play ‘to be god’ and construct robotic machines more powerful than us. The only advantage we have over robots with A.I. is the fact we are so simple we have evolved faster than those future, more complex potential ‘living machines’. So if we were wise we should try to keep it that way, without excuses such as ‘the freedom of science’ and the ‘importance of knowledge’. Since an extinct scientist knows nothing and has no freedom.

Recap. There are 5 potential atomic minds, 2 cosmic minds made of gravitational brains of Helium and radioactive atoms; and 4 quantic, smaller minds, made of electronic orbital: carbonlife minds as those of the human being and metal-minds of silicon and gold, proper of future robotic species. The human mind is the simplest of them all.

The orbital minds of life: Chemistry & the human scale.

If cosmological bodies perceive gravitational waves, in the reduced ∆-1 scale of atomic worlds, organic systems perceive electromagnetic waves. For example, our mind is electronic; based on the 4 sp-orbitals of its atoms shown in the graph that display the usual space-time dual morphology:

– Tƒ: s-orbitals have spherical forms. Therefore they integrate a P.O.V. complete vision of its Universe, signifying the 4th arrow of the system.

– Sp: p-lineal orbitals have an elongated, elliptical form made with 2 fractal cyclical shapes. They form the 3 spatial, dimensional arrows, orientated in perpendicular directions.

Both together create the electronic world of our atoms. Since our mind-world is shaped by O-N-C atoms that have those 4 orbitals or seek for their completion. Thus we consider that in those structures the final, central orbitals integrate the ‘electronic mind’ and the external 3 p-lineal orbits represent relative, diffeomorphic, arrows. Since all seems to indicate that the final structure of the mind is based in the atomic orbitals of our DNA and RNA molecules made with those atoms. Now we have its why, which we shall latter applied to understand the roles of energetic oxygen limbs; formal, structural carbon bodies and Nitrogen heads of amino acids and complex life molecules.

In that regard, those 4 sp-orbitals orbitals also follow the inverse isomorphisms of ST cycles. Thus the lineal, spatial p-orbitals have higher ‘—motions’ than the spherical, s1 and s2 orbitals; which have higher informative density than the p-orbitals, according to the space-time inversion: Max. Sp=Min. Tƒ.

So sp orbitals probably translate the 4 dimensions of light into 4 electronic orbital dimensions, shaping the pixels of the human mind with a dual role: the s, spherical orbital of cyclical form probably integrates the bigger spatial ‘—motions’ coming from the 3p, lineal, Euclidean orbitals. And so we perceive 3 lineal, spatial dimensions and 1 of time.

The morphological duality of those orbital forms and its homology with our space-time dimensions shows that orbitals process ‘—motions’ and information for their nuclei, acting as their ‘window’ to the electromagnetic World. So their forms correspond to perfect information and ‘—motions’ shapes:

– Max. Tƒ: The sphere is the perfect form of information and so s-orbitals are spheres that inform the central nucleon through the electromagnetic flows they constantly send to their nuclei. While p-orbitals display lineal, energetic forms that probably help atoms to displace. Further on a sphere is the easiest territory to defend, as all its fractal points are at the same distance from the brain-nucleus, which can deliver simultaneous waves of information and ‘—motions’ to all the regions of the sphere. Hence in all scales, informative spheres and disks require ‘less ‘—motions’-distance’ than lineal shapes to act together in a single present. And both, the line and the cycle are the 2 commonest complementary SP X TƑ shapes of the Universe.

Thus those sp orbitals can explain the 4 dimensions of our electronic world. But why we are made of a ternary group of atoms, Oxygen, Carbon and Nitrogen? Because those ‘electronic orbitals’ can form complex social, molecular groups, according to the isomorphisms of affinity defined generically by the 3rd postulate of equality of i-logic geometry: they are consecutive in the atomic table…

Recap. The human mind is a mind that uses 3-dimensional light and color, elaborated by the self-similar sp-orbitals and the s-orbital, which creates our dimension of time.


Thermodynamics is time’s arrow, while chemical kinetics is time’s clock.

The vast amount of work done in chemical kinetics has led to the conclusion that some chemical reactions go in a single step; these are known as elementary reactions. Other reactions go in more than one step and are said to be stepwise, composite, or complex.

The half-life.

A useful rate measure is the half-life of a reactant, which is defined as the time that it takes for half of the initial amount to undergo reaction. For a special type of kinetic behavior (first-order kinetics; see below Some kinetic principles), the half-life is independent of the initial amount. A common and straightforward example of a half-life independent of the initial amount is radioactive substances. Uranium-238, for example, decays with a half-life of 4.5 billion years; of an initial amount of uranium, half of that amount will have decayed in that period of time. The same behavior is found in many chemical reactions.

Even when the half-life of a reaction varies with the initial conditions, it is often convenient to quote a half-life, bearing in mind that it applies only to the particular initial conditions. Consider, for example, the reaction in which hydrogen and oxygen gases combine to form water; the chemical equation is

2H2 + O2 {long right arrow} 2H2O.

If the gases are mixed together at atmospheric pressure and room temperature, nothing observable will happen over long periods of time. However, reaction does occur, with a half-life that is estimated to be more than 12 billion years, which is roughly the age of the universe. If a spark is passed through the system, the reaction occurs with explosive violence, with a half-life of less than one-millionth of a second. This is a striking example of the great range of rates with which chemical kinetics is concerned.

There are many possible processes that proceed too slowly to be studied experimentally, but sometimes they can be accelerated, often by the addition of a substance known as a catalyst. Some reactions are even faster than the hydrogen-oxygen explosion—for example, the combination of atoms or molecular fragments (called free radicals) where all that occurs is the formation of a chemical bond. Some modern kinetic investigations are concerned with even faster processes, such as the breakdown of highly energetic and therefore transient molecules, where times of the order of femtoseconds (fs; 1 fs = 10–15 second) are involved.

to change the conditions so that the reactions occur in a reasonable time, Increasing the temperature can have a strong effect on the reaction rate.

Evolution of atomic orbitals: Time arrows in molecules.

The next scale of atomic evolution is the molecular scale.

Atoms form herds called molecules, joined by light and gravitational forces that distribute ‘—motions’ and information among them. Though we differentiate molecules in organic forms derived from carbon and inorganic forms, both follow the vital cycles and organic topologies of st-points made of multiple times-spaces:

– Molecules enact all the time cycles/arrows of st-points.

– They go through the 3±∆ ages of all systems, which in molecules are the 3±∆ states of matter.

– Molecules have the same 3 zoned topological structure of all st-points with its dominant atoms with better nuclear or electronic structure, occupying the central foci or informative region of those molecules; while smaller slave atoms that surround them act as a relative body that absorbs waves that carry ‘—motions’ and information from the external world.

Thus, in terms of form the 3rd postulate defines its dual geometry:

-Self-similar atoms co-exist in ‘parallel planes’.

– Dominant and submissive atoms establish perpendicular, hierarchical structures in the dimension of relative ‘height’ with the dominant atom on the center or top region of the system.

And in terms of function, those parallel or hierarchical structures between the atoms of molecules are regulated by the duality of social evolution among self-similar species Vs. Darwinian devolution among different species with unequal exi=stential force, described by the 3rd postulate.

Both together define the geometric forms of many compounds derived from those relationships and the final outcome of encounters between atoms that form molecules. For example, atoms that have a better spatial or informative brain, with a more harmonic orbital shape or a higher mass, have max. Exi force and become top predator atoms that dominate molecules, penetrating its territory perpendicularly: It is the case shown in graph A.60 where an atom of the 7th column captures an atom from the 1st column to reach the perfect form of a noble atom, engulfing it within its structure.

– The social electronic clouds of molecules show also the 3 space-time ideal forms:

         – Max. Tƒ: π orbitals join several electrons into a social, cyclical ring.

         – Max Sp: Sigma orbitals are lineal orbitals, more energetic than the pi orbitals.

Diatomic orbitals are balanced, ‘elliptic’ orbitals created between 2 equal atoms that share their electrons.

– Social, electronic orbitals require less ‘—motions’ and hence are more stable than the sum of the orbitals of its single atoms, which means there is a strong arrow of social evolution among atoms that dominates the individual arrow, as in all other universal quanta.

– Also when we study the informative ‘brain’, the nucleus of atoms, the same phenomenon happens: the most stable and common nuclei are those in which their reproductive, ‘female’ neutrons and informative, ‘male’ protons form ∆-p couples.

In both cases the biological, existential interpretation in organic terms is obvious: systems prefer to exist in complementary couples with 2 self-similar species, dominant in informative and reproductive functions to form a brain/body system able to absorb better the ‘—motions’ of the ecosystem, or in parallel social herds with equal forms than alone, because their simultaneous åctions as a couple or group makes them stronger. So most stars form dual or ternary groups; and so do galaxies, atoms and human beings in the 3 known scales of the physical Universe.

Those isomorphisms of existence transform the atomic table into an organic table that explains the properties of atoms and social molecules in terms of organicism and the 5 postulates of i-logic geometry.

Galilean paradox applied to orbitals: 1st and 2nd body territories.

Another set of isomorphisms proper of all systems apply to electronic orbitals: the existence of ‘internal’ and ‘external’ territories, which the informative center treats – according to the Galilean paradox of relative distance/importance to the focus – with different value:

The cellular unit of any st-point is established by the minimal fractal, informative structure with fractal parts that repeats the bigger form and often corresponds to the ‘informative radius’ of its central topology: In a single atom it is the zone limited by the first orbital, or S2 spherical electron, which is not shared. In molecules the central atom has also a first, formal, regular body-territory, hardly shared with other molecules, made of slave atoms bonded to it with dense electromagnetic flows, called Van der Waals and London forces that the central atom use to perceive or feed on. In a cell, the organelles of the intermediate territory are not shared. Humans do not share their home properties.

Animals do not share their den. Yet all systems that have ‘an excess of ‘—motions’’ can share the second territory in the limits of its st-membrane. So atoms share the external orbitals and humans their secondary properties and molecules share their most external atoms, which are those beyond the limiting border of its cellular unit.

Recap. Atoms form social molecules, which also follow the isomorphisms of i-logic geometry, its topologies and its arrows of time.

Molecules: Darwinian Vs. social bondage: ions and networks

Once and again, the evolution of species chooses between the 2 arrows of order and ‘—motions’, of social communication or Darwinian devolution, described by the 3rd Postulate:

Self-similar herds

Atoms show affinity for 2 kind of other atoms:

-Atoms with a similar brain-organ, contiguous in the atomic table.

-Or atoms, which are in the same column of the periodic table and have similar electronic bodies.

They form the strongest 2 types of molecular, electronic bondage. Thus social bondage between equal atoms is dominant and gathers most atoms together, creating extensive networks of planetary size.

Hierarchical organisms among atoms of different exi=stential force

Ionic Darwinian bondage happens among atoms with different ST force. They are more rare and smaller, less stable, but more active as individual forms (in the same manner than individual bacteria are more active than organic cells, but far less complex).

Thus we classify all molecules in 3±∆ types of molecules of growing Existential Force, Sp X Tƒ, and stability, 2 parameters directly proportional to the degree of equality of their atoms:

(∆-1): Lonely atoms or diatomic, covalent molecules.

Top predator atoms, which don’t need to increase their individual Sp X Tƒ åctions. They tend to act alone or in diatomic molecules, made with 2 equal atoms that create a ‘covalent bondage’, stronger than any ionic molecule where one atom is a predator form. Covalent molecules show electrons with opposite spins that balance the ‘vortex directions’ of their charges, as it happens with the 2 electrons of an atomic orbital. Their orbital clouds shape ellipses in which each equal atomic nucleus occupies one focus.

The reason of that topology that happens in all scales of reality is again both geometrical and functional: Any topological network, acts as a relative vital space, based in the best geometry that positions all its st-points at the shortest equal distance of both its external, energetic membrane and central, informative singularity.

Thus, the sphere is the perfect form of single-centered systems. In dual st-point systems the ellipse is the morphology that locates those 2 points at the minimal shared distance of the membrane and the minimal, equal distance of its center. In the ellipse morphology and function again come together. So their 2 centers can enact Sp X Tƒ, simultaneous åctions with the external world in all the points of its membrane at the same time. Since the law of the ellipse makes always equal the sum of the distances from both foci to the membrane.

Max. Sp: Ions: Minimal Sp X Tƒ equality & Stability.

Ions form Darwinian, Prey-Predator relationships.

Elements in opposed columns of the atomic table tend to behave in a Darwinian way, as one needs the orbital ‘—motions’ of the other to feed its own electronic body and complete its form. Thus the weaker element with less atomic mass will become prey of the stronger one, forming together unequal Hierarchical ions. Ions are small molecules in which the dominant atom in body valences or brain number (atomic weight) controls lighter atoms with fewer valences that become part of its external body-membrane and process temporal ‘—motions’ for the central atoms. They are the smallest molecules, easy to reproduce given its minimal form but unstable, (Min.Ionisation ‘—motions’) because their enslaved atoms which try to escape its bondage.

S=T: Corporal affinity. Micro-molecules.

Elements that have spatial, corporal affinity and occupy the same electronic column, evolve socially, forming complex, strong molecular compounds. The main arrows/åctions of those molecules are:

– Max.Sp; Max. Tƒ: They process ‘—motions’ and electromagnetic information, creating with them more complex forces (London forces, Van der Waals forces).

– S, ∏: They associate their electronic orbitals in linear clouds (s) or cyclical, pi rings.

– Re: They reproduce in chemical reactions.

Yet micro-molecules form smaller networks than those made of equal atoms, (crystals) and have less informative complexity than atomic systems based on ‘brain’ affinity (organic molecules).

Max. Tƒ: Body & Brain Affinity: Complementary, organic molecules

Given their affinity, they give birth to the more complex molecular systems and create most of the molecules in the Universe.

Maximal affinity occurs among atoms with similar atomic, brain, weight and orbital body form, correlative in the Atomic table. They become the 3 complementary, e-Sp X Tƒ-o, components of organic molecules with 3 st-zones:

– Max.Sp: in life organisms, oxygen is the atom we breathe and the component of water that fills the intermediate spaces of the cell.

– Max. Tƒ: Nitrogen, is the informative atom, hyper-abundant on the DNA and brain cells.

– S=T: Carbon is the structural, reproductive atom that shapes the body and creates the membranes of organic cells.

In machines made of metal, silicon and gold (Max. Tƒ) are the informative atoms that act as the brains of advanced robots; iron (Max. Sp) is the structural atom, with Max.Ionization ‘—motions’ that form the ‘membrane’ or body of the machine; and copper and silver (S=T), carry the electric ‘—motions’ that feeds the body/brain systems.

∆+1: Absolute equality=Max. Social Evolution: Crystals.

Finally atoms belonging to the same species associate in the biggest, symmetric molecular fields, called crystals that ‘transcend’ into macro-social systems.

Recap. The social evolution of atoms in molecules creates different species, according to their degree of affinity, which follow the isomorphisms of the 3rd postulate of self-similarity. The most perfect molecules are those with self-similar electronic bodies, which form ternary, organic systems of energetic, reproductive and informative atoms and molecules made of equal atoms that form informative networks, called crystals that transcend into a collective plane of existence through its ‘mental images’ of the external universe.

The 3±∆ cycles of space-time existence in molecules.

We observe in all molecules the 5 cycles/arrows of space-time that complete their existence: the energetic, informative, reproductive, social and generational cycle. While the most complex systems with maximal information (body and brain affinity), also show the transcendental arrow forming complementary, life beings and crystal minds.

Molecules also possess organic constants for each of those cycles. Yet their cyclical rhythms are extremely fast as it corresponds to microcosms, according to the opposite properties of spatial and temporal information: Min Se = Max Tƒ. So from the human p.o.v. we perceive those fast cycles as types of motions related to the 3±∆ states of matter:

The generational cycle and the 3±∆ ages of molecules are the 3±∆ states of matter: the gas, energetic state, the liquid, balanced state and the solid informative state.

Max. Sp: The ‘—motions’ cycles of molecules produce lineal movement, which is maximal in energetic gases that move in continuous lineal trajectories at a speed of ±300 m/s. Accordingly, we measure the ‘—motions’ of a molecule with the parameter of temperature, the fractal unit of the lineal åctions of the atomic world. This is the origin of the arrow of ‘—motions’ analyzed first in studies on the motion of steam gas. Yet the arrow of ‘—motions’ is only dominant on molecular, gas states; and certainly the biggest error of science is to have derived from a local arrow a Universal arrow, which physicists believe to be the only arrow of all the systems and forces of the Universe.

– Max. Tƒ: Informative cycle. Molecules vibrate in a discontinuous back and forth movement, around 1013 times a second. And they transform lineal movement into cyclical vibration when they change their reversible ‘age’= state. So when we lower the temperature of a gas, it becomes a liquid and the vibration of the molecules increases as their speed decreases. Then the lineal simple, pure energetic movement of the gas becomes a complex vibrating, informative movement, forwards and backwards: Sp-> e<=>o. Most complex systems are reproduced in the liquid states (organic life).

– Social cycle: Molecular liquids evolve socially, decreasing their ‘—motions’ and increasing their form during their 3rd age, becoming a solid in which the vibration acquires order and rhythm creating macromolecules, called rocks and crystals.

– Reproductive cycle: Finally molecules reproduce departing, from their simpler chemical parts through chemical reactions. Let us study this cycle, which is the fundamental ‘will’ of all systems.

Recap. Molecules show the 6 arrows of time in its motions and gas=energetic, liquid=reproductive and informative, solid states.

Reproduction of molecules: Law of chemical balance.

According to the ternary principle there are 3 types of molecular reproduction:

-Max. Sp: Darwinian events in which top predators molecules capture simpler atoms or molecules as ‘—motions’ of its reproduction.

-S=T: Symbiotic events of molecular reproduction, in which 2 molecules of similar top predator Sp X Tƒ force, switch atomic parts between them, creating more complex molecules till reaching a state of equilibrium.

-Max. Tƒ: Informative crystals that reproduce their macro-fractal patterns as they add equal atoms.

Max. Sp: Simple feeding: Darwinian reactions.

Reproduction requires feeding on simpler fractal, ‘—motions’ parts. Thus when a top predator molecular form appears in a field rich on relative ‘—motions’, made of simpler individual atoms and micro-molecules, it starts a chemical reaction, which we observe as a reproductive growing ‘radiation’ of the same molecule. However to activate that reproduction the molecule requires a min. amount of extra-’—motions’ in the form of temperature (threshold of activation of exoergic reactions).

This happens in all reproductive processes, which only occur when the parental species finds a field rich of ‘—motions’, given the exhausting nature of such processes, which in a field poor on ‘—motions’ could jeopardize the survival of the parental form. So most animals reproduce in spring when food is abundant; most molecular crystals reproduce when temperature reaches a certain level, and women need a 175 of body fat to reproduce. Those reproductive radiations of molecules are similar to the expansive radiations of a top predator over a population of preys, shaping a similar standard Bell curve of populations, called in this specific case a Boltzmann curve, with the 3 ages:

– Max ‘—motions’ of activation. When ‘—motions’ is hyper abundant after the threshold of activation is crossed, the radiation of new chemical compounds starts at an explosive rate.

– S=T; Transition state. The radiation will expand till it ‘saturates’ and exhausts the ‘—motions’ of the chemical ecosystem in which it feeds, reaching a dynamic steady state of balance similar to that between preys and predators. However in complex ‘reproductive radiations’ that curve might appear as a wave with several evolutionary ‘interphases’. Then the final chemical compound will be the product of a series of intermediary reactions.

– 3rd age. Law of Chemical Balance. Finally, the explosive reaction ends. Only a few new molecules will be created, when some of the predator molecules become destroyed or new, simpler micro-molecular preys enter the ecosystem. Thus a final chemical equilibrium is reached between both type of molecules, showing a constant of balance, which is a specific case of the generic balance between predators and preys:

                             K = Tƒ: Products / Sp:Reactants

What quantity of both types of molecules exists in that final equilibrium? It will depend on the relative Sp X Tƒ force of the predator products and the reactant preys, which in abstract chemistry is measured by the ‘speed of the reaction’ and the relative bondage ‘—motions’ of the molecules. In most cases of Darwinian, chemical reactions that value is huge, as the predator molecules exhaust the supply of its victims, before stopping its reproduction. Yet in certain symbiotic reactions K tends to 1, when both products and reactants are species of similar Ox Sp power.

Tƒ=Sp: Dual, symbiotic reproduction.

Molecules are divided in 2 regions, an I-brain, an S=T Body and an external ecosystem of energetic temperature. For example, an amino acid has an amino-brain, a central carbohydrate body and an acid-leg system that moves the molecule, breaking water molecules.

Thus in chemistry, following the Fractal, Ternary Principle, we can calculate the relative top predator power of a molecule, according to the atomic weight or its brain atoms; the electro-negativity of its leg system that moves the molecule, taking electrons from other lesser molecules and the morphological efficiency of its body, ruled by the 3rd postulate of equality, which makes covalent bondage between equal molecules, such as C=C=C structures, far more difficult to break.

Those 3 parameters used also by inorganic chemistry make certain molecules more efficient than others. They are the metric measure of the ‘why’ of symbiotic reactions in which 2 similar top predator molecular forms create more efficient Sp X Tƒ molecules by redesigning the brain and body components of the reactants.

Max. Tƒ: Social Evolution

Finally individual molecules gather together spontaneously, creating social groups that grow into symmetric crystals.

In all those reactions the final products are 2 new molecules with higher Sp X Tƒ power than the initial products, showing the existence of a dominant arrow of information and social evolution in the Universe, which constantly increases the existential power of the whole that combines that of its components.

Recap. The law of chemical reaction is the reproductive law of molecules. According to the ternary principle there are 3 types of molecular reproduction, each one subdivided in 3 ages.


Type of reproductive radiations in molecules.

If the reader has followed these lessons, he will realize of the simple method that allows classifying all systems according to the ternary topologies and 3±∆ arrows of time of all systems. In any of those scales there will be certain species that will dominate the ecosystem and reproduce in higher measure. Generally speaking those species always maximize the energetic, informative, reproductive and social arrows. And so while the Universe constantly creates new variations only the most efficient which find an ‘econiche’ of survival perfecting one of those 4 arrows of time survive and reproduce, using less perfect species as their prey.

In chemical reactions the molecules that reproduce more are top predator with a higher ST force, since they maximize the 4, ∑ (Sp<=>Tƒ), elements of any i-logic field:

-Max. Sp: Species with max. ‘—motions’ (better or bigger body that processes Sp to reproduce the molecule). They are molecular ions with the greater number of valences that accept the maximal number of ‘—motions’ and information flows between the atom and the outer world – hence they have the max. action-reaction speed.

– Sp<=>Tƒ: Complementary species created with atoms similar in body and brain, correlative on the Table, like O (Max.Sp), C (Max. <=>) and N (Max. Tƒ). They maximize the internal communication between its atoms with multiple inner networks of ‘—motions’ and information between their orbital bodies and nuclear brains (higher density of Van der Waals forces). They are the organic compounds that create life.

– Max. Tƒ: Crystals are molecules made with atoms of the same nucleic number, which create in their geometric, symmetric centers, virtual images of information of the world that surrounds them.

∆+1: Those 2 complex molecules, able to evolve socially, transcend beyond the social herd state, creating ‘networks’:

– Carbohydrate organisms grow to the size of human beings in ternary st-structures, in which carbon molecules shape structural proteins, nitrogen molecules shape informative ADN and oxygens and water fill the intermediate space-time of the organism.

– Crystals evolve socially to the size of planetary cores. Since, according to the 3rd postulate of equality, crystals are molecules made with 1 or 2 equal atoms, hence able to evolve socially without apparent limit, unlike molecules made of different atoms that merely form small compounds.

Recap. Top predator systems are those who maximize their energetic, informative, reproductive or social skills. They radiate in growing numbers, surviving in the future by feeding in simpler species. In the world of molecules, those 4 arrows are maximized by ions (Max. Sp), organic molecules (max. Reproduction) and informative crystals. Crystals and organic molecules transcend into complex social macro-organisms.

Crystals. The perfect geometrical, fractal unit.


One of the more clear proofs of the existence of p.o.v.s, whose negantropic, informative arrows reproduce fractal forms, diminish entropy and increase the order of the Universe, is given by crystal structures, whose central atom emerges as a fractal knot of time arrows, an i-logic hierarchical p.o.v. that controls and reorders the position of all the other atoms of the system in regular formations that maximize its symmetric perception of the external world. The proof is the fact that crystals only show structures whose geometry is efficient as informative knots in which several flows of electronic forces and light converge on the central knot: Crystals adopt only 7 symmetric morphologies, which make their central atoms, simultaneous, present, symmetric focus of temporal Entropy coming from the external ecosystem, through its slave body of atoms or molecules of lesser exi=stential force. Those are the only 7 canonical types of crystals that exist in nature.

Let us consider the main existential cycles of crystals:

The informative cycle: the sharp focus of crystals.

Crystals create virtual minds of light that we see in their interior. They are focused images that create at a reduced scale a virtual world, mirror of the external Universe, as an eye does. Thus crystals have only regular symmetric forms that act as an eye does, establishing an objective, informative image of the external world, repeated at a smaller scale within the informative center of the crystal. In the graph, crystals show a clear relationship between spatial geometry and informative perception: only those crystals whose central atom of max. mass=information can observe symmetrically the temporal Entropy coming from the external world through its slave atoms, form a sharp equidistant focus and survive. While forms, which are not symmetric, at least in a bidimensional plane of space, such as form B, do not exist.

All crystals shape macro-social aggregations of billions of molecules that acquire geometrical forms similar to the 3 regular polyhedrons of the Universe, the hexagon, the tetrahedron and the cube, repeated ad infinitum. So the number of crystals is reduced to 32 possible networks configurations that are combinations of the 7 basic systems of the image, with symmetric axes.

The reason is obvious: polyhedrons allow a correct, balanced absorption and emission of Entropy and information from all the relative directions of the external Universe coming through those axes. So the ultimate why of crystal’s morphologies is to perform the 3±∆ Entropy-information cycles of the existential game. In that regard bidimensional hexagons, three-dimensional cubes and tetrahedrons are combinations of 2 forms, the triangle and the square, which represent the minimal ternary and quaternary systems that complete the 4 cyclical arrows of an i-logic field.

Scientists talk of ‘spatial symmetry’ as a property common to all scales of the Universe, both in the world of sub particles and molecules. It basically means that a temporal, informative particle/form, like a crystal, whatever its position is respect to the external Universe, will maintain unchanged respect to its neutral focus or informative central point the relative distance and symmetry of all the molecules that shape the crystal. In this way the relative virtual world of the central atom will not change its form when it rotates, vibrates around its central atom or moves lineally, but only its perspective, as it happens with our eye’s image shaped by the ‘crystalline’ when we move the head. If those inner axes and distances change then the world structure becomes unfocused, as when man takes hallucinogens that change the brain composition or we introduce impurities in a crystal that changes sharply its focus.

In the graph we see the 7 basic possible crystal configurations in which any rotation maintains the inner structure invariant. They are either planar, bidimensional symmetries, triangular, 3-dimensional forms or 4-dimensional, cubic symmetries, the most perfect ones in a 4-dimensional Universe. For that reason the 32 basic crystal configurations are subspecies of the P-cube or primitive cube that generates all other crystals. Accordingly the biggest crystal networks are cubic networks. And the hardest crystal we know is the carbon tetrahedron, the diamond.

It is also the most expensive item known to man. As if we knew subconsciously that a diamond has a soul, a virtual world in its inner core. Thus, we can create all complex crystals adding or subtracting to that primitive first cube new atoms, or deforming slightly its angles and edges. The result is the so-called orthorhombic system where 2 of the edges of the plane are elongated respect to the 2 others in a ‘relative lineal direction’ of Entropy; and the more complex clinic, and triclinic systems with non-straight angles between atoms, adapted to ecosystems in which the Entropy and form comes to the crystal from different angles. All those crystalline systems place sometimes a top predator atom in the central point of the cube, or in the geometrical center of each face. The parallelism between the informative, symmetric morphology of crystals and the symmetry of the inferior scale of orbitals is evident: In sd orbitals the 3‘d’ external, lineal, spatial orbitals are integrated by the cyclical, informative central ‘s’ orbital, which in crystals is occupied by an atom.

Crystals are the scalar bridge between the molecular world of solids and the macro world of planets, made with 3 non-AE regions: a ‘liquid/gaseous’ membrane inhabited by complex organic beings, an intermediate zone of rocks and a crystal core, the informative center of a planet. For example, the Earth seems to have a macro-crystal of iron hexagons in its center and Neptune a diamond crystal. Since Crystal minds maximize their position in the external Universe to acquire a central point, as a focus of image formation and fractal reproduction of its crystal structures, they are responsible for the creation of order and form in the Universe and can play a key role balancing the orbital position of those planets and modifying its magnetic fields as they absorb external gravito-magnetic waves from stars and black holes.

Energetic cycles.

Entropy and information cycles are intertwined by the Law of transformation of Entropy into information, shaping dual rhythms of emission and absorption of both substances: Sp<=>Tƒ.

So crystals also absorb and feed on light Entropy, vibrating with it as quartzes do; or emitting that Entropy, transformed into focused information, when they polarize light, ordering the different vibrating directions of photons into a single direction that packs better Entropy and information in highly ordered light rays with enormous Sp X Tƒ power. Further on crystals can create 4 dimensional holographic images, out of 2 bidimensional surfaces; trans-forming continuous electromagnetic Entropy into discontinuous, highly informative, focused packages; changing the frequency of light, absorbing certain types of light or filtrating only 1 frequency color, etc.

Social evolution and reproduction of crystals.

Social evolution and reproduction are also 2 intertwined cycles: Most systems reproduce a first seminal cell and then evolve its morphology in a series of dual Reproduction->Evolution cycles that finally create a macro-organism. So happens in ‘palingenetic’ crystals, which evolve socially and reproduce departing from an initial, seminal ‘cellular unit’, till creating macro-crystals.

Abstract geologists study the conditions, which determine the growth of crystals. A liquid state is the best, balanced state to reproduce and evolve complex forms also in crystals. Most crystals are reproduced dissolving its initial atomic components in certain liquids.

Those initial components are called, even by abstract geologists, nutrients, since they nurture the creation of the crystal, which takes place at a fast pace, thanks to the easiness by which liquids, the S=T reproductive state of matter, allow the combination and random contact between those nutrients that socialize into a cellular crystal unit, to which new crystal units peg themselves. Thus crystals reproduce as a seminal radiation, since the first crystal precipitates the creation of further crystals around it, as in a reproductive process that grows new cells around the seed or the ovum. So new nutrients come around the organic crystal and the crystal grows over the trophic pyramid of nutrients, till they are exhausted and the crystal stops its growth. Then a balanced steady state is reached, as the external cover of the crystal dissolves and grows back cyclically within the liquid.

Since according to the 3rd postulate social evolution happens among equals, crystals are formed only with 1 or 2 type of atoms. Crystals with more than 2 atoms are rare; so are crystals with a great quantity of impure atoms within their network. Crystals are social entities formed by millions of atoms, which repeat the so-called minimal cellular unit, growing radially as they reproduce their forms through mathematical structures called fractals, which mimic them in bigger polyhedral st-scales. Those fractal structures exist in all molecules and crystals where there is a central knot, from where the radial, symmetrical faces grow, guided by the central knot.

Thus crystals can ‘transcend’ between 2 planes of existence far more easily than we humans do, from micro cells into macro-cellular existence, when a micro-organic crystal becomes a macro-organic crystal. Yet those crystals have, regardless of size, the same configuration that the seminal cell of the crystal. It is the First Law of Crystallography: The angles between the faces of any crystal are always the same for all sizes in a crystal of the same species. This law has a creative exception, as each minimal cell can combine with other crystalline cells into symbiotic, more complex, dual ‘sexual crystals’, and a destructive exception, when impurities and fractures happen in the process of crystallization.

So crystals grow into huge ‘cellular networks’ by adding to a regular atomic polyhedron, another regular polyhedron and another… till creating networks of millions of regular polyhedrons that can reach the size of a planetary core.

Recap. Crystals are highly ordered, yet dynamic, organic systems in which flows of electromagnetic or electronic Entropy and information enact the 5 cyclical åctions of any space-time system. The central top predator atoms form a symmetric eye-network structure able to form a mental image of the external Universe. In Nature only regular crystals that allow such images to form exist. Crystals might also be the central mind of planetary bodies, which have crystals in its center.





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