**§**

**SUMMARY: **

1. Non-Æ SCALES: 9th Isomorphism

2. Scales of physical systems

3. Scales of biological systems

4. Scales of social systems.

*****

**Foreword: ****3rd line: T.œs’ 10 Dimensional isomorphic properties in vital, sequential order.**

And so as we start to operate the 5×2 S=t Dimensions of existence, we keep creating new forms and new social organisms, which a dynamic sequential manner create the narrative of a world cycle, we shall tell through the 10 Disomorphic properties of all time-space beings:

‘Ðisomorphic 0-1D points 1Γenerate 2Manifold 5∆±I Åctions iterating 3d ηetworks & six species æging in 8 Ξ decades θru 10 §cales∧ 9 planes:

All what exists is part of fractal time space organism performing a world cycle of existence through its ternary symmetries as a travel in 3 scales of the fifth dimension, which can be described quantitatively in terms of social scales, topologically in terms of geometric transformations, vitally in terms of organic symbiosis and temporally in terms of a conservative zero sum world cycles.

That’s all what it is to the Universe. The rest are details. Humans of course, will always want more – add ons that please their ego paradox, and infantile ways, but trust me that is all what there is to reality. And it can be known in its essence, because as we are made to the likeness and image of the fractal, even the smallest part is a world in itself where all the laws manifest, in each island Universe. And so even if total information can only be extracted from the being in ‘itself’ through time within us we have the whole reality to know.

The Universe is a sum of a series of actions, ∆aeiou, of them, the first action is perception by an observer, ∆o, of a field of energy, ∆e, to which it will move, ∆a, in order to feed, ∆e and use that energy to reproduce its information, ∆i, iterating a form like itself, which will gather with clone forms to create a larger, ∆U universal social plane.

The sum of those actions integrated in time, gives birth to the world cycle of existence can be expressed in different partial sub-equations of time and space to form its fundamental DECAMETRIC Disomorphic dimensions.

In that sense we can consider the 0-1, Γ, ‘Generator Dimension’ of the system departing from a o-1 singularity seed of information •; as the starting point of any ‘stientific’ explanation of the being, from a formal perspective. They are related to the @-mind seed of the system and its languages of formal expression, which conform the Generator, or symbolic expression of the ternary topologies of the system, its ternary scales in space and its cyclical past-present-future ages in time:

*T.Œ-1: Birth ∑∏: ∆ø ≈ ∆-1: |-Spe (limbs/potentials/territories) < ∆: Ø-S≈T (reproductive body/wave/workers) > ∆+1: o-Tiƒ (informative particle/ head/upper class)>>∆±1: Death*

And so each Ðisomorphism studies a relative element of the Generator in more detail; in a more ‘dynamic way’, starting from its original seed. And as ultimately it is all a game of ternary symmetries in ∆st, put together by a 1-0, 10th dimension of wholeness, as we relate the tale of the worldtime of an organism and put it in relationship with its spatial symmetric form, reality unfolds in a natural way for each T.œ.

The graph shows those elements departing from the 5Dimensional simpler view, relating the unfolded 10 Disomorphic analysis in relationship to its origin as formalisms of the mind (0-1 Isomorphism: Generator, Seed and actions), or as spatial studies (2-manifolds, 3 networks, 6 species combination of those networks), or temporal analysis (studying its 3±∆ ages and 9 decades of the world cycle) to finally inscribe the being in its ∆§ potential 10 social scales within each of the 9 ∆º±4 larger planes within the Universe perceive by the being.

So we start for the fundamental form of the One, its potential wholeness as a seed, or a formed mind-point that generates the acts of the being. the first seed of information; which soon will split through the duality between the space and time phases/parts of the cycle/organism; then the ternary division of its S, st, t physiological networks.

Next comes the four combinations of space time with repetitions, Ss, tt, st, ts; then the 5 dimensions, including now the lower and upper scales of seed state and death state…

We can then consider the 6 species, combination of the 3 physiological networks of the being by hierarchy of power, S-st-t, S-t-st, T-st-s, T-s-st, TS-s-t, TS-t-s.

We can then study with its upper and lower scales, the 3 ±2 ages of the being between generation and palingenesis in the ∆-1 scale, through its 3 ages in the ∆º scale, into its splitting dissolution of its energy back to ∆-1 and emergence in the collective memory of its social scale (from family to man of the world) in the ∆+1 scale; and so we arrive to the 8th isomorphism of the ‘8 baguas’ or decades of a life cycle (for man, different for other stages of being) through its ‘gaseous, moving youth, liquid, reproductive maturity and informative, solid state’ to return to the womb of ‘tao’…

And if we are to measure the being through its growth in social scales, in the palingenetic dimension of 0-1 generation, or its scalar, social world, we shall find a series of decametric growths from 1-10 through the §10°-¹° societies to the trillion cellular beings that create a new ∆plane of existence… *the last quantitative≈qualitative, space≈time isomorphism, as we move in scales from the atom-galaxy to the galaxy-atom and beyond, perhaps from the o-| open and closed $ and ð microcosmic strings of space-time to the cosmological ones.*

The 10 Dimensional isomorphisms (ab.Ði) applied to the study of each 10Di (5s, 5t) timespace organism, increases formal depth and experimental detail in our study of all the systems made of ∆@s≈t of space-time, defined by its fundamental 5 elements/Dimensions: @minds, ∆-§cales, $pace, ðime and its s≈t symmetries.

In this post we shall study, the 10th isomorphism of our ** ∆§…** **10¹° §scales of social growth***,* illustrated then with samples for the 3 FUNDAMENTAL classifications of beings of classic science:

- ASTROPHYSICAL SCIENCES (∆i ≥|3|)
- BIOLOGICAL SCIENCES (∆i <|3|)
- SOCIAL SCIENCES (∆º+1)

** ****The Rashomon effect on scales of space-time.**

We study here ‘scales’ of decametric and ternary societies.

Scales are intermediate states in each of the 3 planes of all systems, as they are *NOT CHANGING THE parameters of entropy and information but merely adding social numbers. *

For example, the jump from cells to human organisms is a jump of plane of existence as the parameters and form change.

The jump from cells to organs in a jump of scales (the maximal) as organs are still masses of cells.

*The jump from particles to thermodynamic matter is a jump of scale as the parameters (h, ƒ) of quantum scales change to those of thermodynamic systems (k, T); the jump from orbital electrons to electric currents is a social jump. Hence a jump of intermediate scales.*

As usual we shall switch in our analysis between the 5 elements of all realities applied to the concept of scales using ‘ ideally’ different names for each perspective:

S: $cales will deal with the spatial elements of scalar growth – that is the co-existence in organic adjacent systems of multiple social scales, as part of a geographical territory that sustains them.

S≈t: ∑cales deals with the essential feature of creation of scales by palingenetic reproduction of a clone form into multiple systems that will then form networks.

@: ∫cales: which considers how they evolve through a language, first genetic, then geographical and finally purely linguistic, focused into a mind-whole perception of itself as a new emergent being, which fully makes the being transcend into:

∆: A new plane that properly define them in relationship to the upper whole and lower bits and bites, and quanta of forces, which social evolution facilitates in its absorption and emission. Scales are then essential to increase the ‘latitude’ or ‘range’ of planes in which a social system operates.

ð: Finally ∂cales dissolve back into the entropic process of death, in a mathematical exponential negative, accelerated form of maximal speed, as death is the minimal quanta of time, hence closely related to the exponential function.

**∆§CALES**

**The social process of evolution of individuals into ∆+1 Universals.**

The final, more complex action of any being is:

*∏, ∑, Œ=∆+1*

The social evolution of individuals into Universals, the system across a series of social scales till reaching the limit of its environment in simpler ‘herd like organization’, or the complexity of a tightly packed super-organism.

Each of them however can be further divided into ‘Social scales’, as the individual groups itself into larger social entities, starting by the ‘couple’ and the ‘family’.

So we can write them as a 10¹º series, *in which the fundamental element of aggregation will be the ‘type’ of language of information used to unify the units, which must grow in ‘time speed’ according to the metric of the 5th dimension as we enlarge the system, so to maintain its synchronicity. So in the paradigm used to name those scales (human societies) we find the 3 first genetic scales, then 3 geographical, economic scales, and finally 3 verbal, ideological scales to get to the global super organism:*

- 10º, the individual of a given ‘previously described ∆-scale of the whole Universe…
- through the 10¹ scale of the family (which can be a couple, a mononuclear family or most often one through 3 generations of grand-parents, parents and sons, of around 10 people) and then in genetic units, to the…
- 10² scale of ‘clans’… and 10³ scales or tribes (in the human system, which is taken here for the first ‘names’ of those scales…
- Changing to a more complex language of social information, geographical, economical systems that create the next degree of 3 scales, the town, 10 up to 4, the city, 10 up to 5 and the nation, 10 up to 6…
- And then to ideological, verbal systems, which create cultures, till arriving to the – 1 billion, 10¹º-¹³ individuals, which normally emerges as a unit of the next scale.

**The growth of scales through genetic=temporal, geographic=spatial and linguistic=@-mind codes.**

To create a social organism, the ‘fractal points – cells, stars, individuals etc’ of the system must communicate energy and information through flows and networks. Thus, essential to the organisation is the use of specific languages of communication between them *across Space, or simultaneous geographical organisations, time, or genetic organisation and scales, through languages of the mind that expands the microscopic singularity into a vast territory of order -that of all the elements that speak the language*.

And so as the number of cells increases, the organisation sweeps through Space, time and scale, becoming ever more complex; *as the previous layer of organiation stays; that is first the system reproduces in genetic waves, which then become organised spatially by location, and finally add as the third layer of organisation *.

In the graph we can see the essential *o-1 best known scalar growth of a system from its seed to its full organisation, the biological palingenetic birth of a fetes, in which we can study the components that by homology will apply to all other social structures of nature.*

The birth of the seed happens in a location rich in placental energy, and then tree is a genetic undifferentiated growth in the first stages as a morula, which will then differentiate spatially by geographic position, but it will need the creation of differentiated linguistic networks that handle hormonal, nervous or oxygen (reproductive, informative and entropic-moving) languages to fully reach its scalar organisation as a system of ten decametric systems to become one of the essential species/phyla of nature, *according to the dominance of one or other of those networks*.

Thus we define 3 linguistic social ages of evolution of the languages of systems, which reach its ∆+1=S10 social scale through:

**ð-**Temporal, genetic organisations (S1-S3).

**$-** Spatial geographic ones (S3-S6) and…

**∆-** Proper scalar space-time, organic, network languages (S6-S9), which finally will give birth to:

**@-**mind-whole, full structure of the being as a 10th element of a larger new unit whole.

**≈** And all those processes will reflect into each other accumulating, one upon other in superpositions based in its symmetric relationships

And when we study each of the different scales of nature and its species, timeline permitted in the fourth line we shall apply those homological laws to discern how and why it appears different species of Nature, which emerge as new wholes of a larger ∆+ scale.

**THE 3 ELEMENTS OF IST: DIMENSIONS, PLANES AND SOCIAL SCALES.**

In the graph the 3 main ‘sub-disciplines’ of iST, isomorphic planes (& social scales), spatial, bidimensional dimensions and temporal ages. They suffice to explain the main actions, organic forms and events of all species, as the graph which defines the human i=5 being, its perceived scales, organic networks and ages show.

The graph shows the 3 type of dimensions of scalar space-time, the 9 planes in which beings interact, its 3 topological organs or ‘fractal dimensions of space’ and its 3 ages of its world cycle, analzyed with existential algebra (the equations below), in this case for the human ‘variety’.

So we need to complete that analysis studying the core is-sue of the fractal Universe and its structure, its scales of social evolution and i-planes of discontinue space time.

GiST describes all entities of nature as Systems, made of planes of space and time, and considers that the fact they are made of those Dimensions and planes of of space-time are the reason of its isomorphisms.

Entities had certain spatial, temporal and organic common properties, *because those are the properties of the Dimensions of the Universe which were:*

– ‘3 dimensions of space’.

– 3 dimensions of time (past, present and future)

– Its space-time combinations or space-time dimensions: Energy, Information (O) and its combinations ExO)

– Its 10 up to n, social scales of evolution, which create finally a new ‘i-plane of existence, unit of a new scalar bigger whole, as the number 10 becomes a Unit of a new scale of numbers’.

Thus the scalar Universe has 2 degrees of social order, which creates 2 fundamental sub-disciplines:

** ST-IENTIFIC PLANES: AN OVERVIEW OF THE 5TH DIMENSION**

*In the graph, all the i-planes and its main sciences. Thus science is a detailed analysis of its i-planes.*

A larger view, which studies the i-scalar dimensions, and its laws; that is the 9 0±4 scales in which the being interacts:

- Of which the the i-1 atomic/cellular, i-ndividual/human and i+1 social/organic scales are the 3 essential ones in which the being co-exist.
- And the 0±>2≈4 scales from where it obtains energy quanta (i-2), pixels of information (i-3) and forces of motion (i-4) are the less important in which the i-being preys.

Since 0±4 planes, are made of an ‘invisible force’ that moves and positions beings, and an i+4 ‘absolute Universe’ of limited perception, as both a*re above and below the 0±3 plane that give us bits of information.*

Thus the being relates also to an 0±3 informative cosmos, in which it absorbs its informative bits, (the light-sun system for mankind).

Into its closer 0±2 ecosystem or world, where it absorbs its energy, and exists through its life ages.

To enter finally into its ‘structural and social reality’, the 0±1 social and cellular scales, which are managed by its

- i-scale, the soul, 5th dimension, scalar center of the being.

**@: THE FORMALISM: NON-Æ GEOMETRY**

In organic terms, the 5 postulates of fractal Geometry describe how points become parts of social webs, which self-organize fractal planes made of networks of points, which emerge as cellular units of a higher fractal space-time or new superorganism… Thus, according to the Principles of Correspondence and Relativity, proper of physical reality, those different geometries are relative descriptions of the same fundamental structure of the Universe: the point with parts and its more complex social forms, lines and planes. The fractal generator of the Universe is a logic equation that represents the main interactions between the arrows of time. Yet all languages mirror that logic equation in its syntax, since all minds gauge and represent the cycles of the Universe with languages of perception.

A line is a wave-like event which communicates 2 st-points through a herd of fractal micro-points- a lineal action, exi, of energy that carries a frequency of information in which a message is encoded. The language of information is highly invisible to points outside the network that emit those messages as a flow of micro-points, self-similar micro-replicas of the mother-point that travel in waves across the external Universe transferring energy and information.

In most events those flows balance one point with more energy, Ei, that each science defines with different slangs, (‘a white hole’, ‘energizer’, ‘past form’, ‘male’, ‘body’, ‘yang’, ‘moving field’, etc.); and an informative point, Tiƒ, 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, Tiƒ, and information from the future point, Tƒ, to the relative past point, Ei, creating together a cycle of temporal energy. The description of those points and cycles, which are common to all beings of space-time, creates a fractal, i-logic geometry common to all sciences and Universal species.

Finally to mention the inversion of ‘scales’ if we use the metric of information, which increase as we become smaller, or the metric of size which increase as we become bigger. Yet the product of both become invariant:

Sp x Tƒ =U±4, where the 9 planes of existence of the logarithmic 10¹º scale of the Universe, are equivalent as each one has more and less energy and information. So we should write in the logarithmic scale, each plane as the equal sum of its logarithmic capacity to carry information and its relative size:

Sp-4 +Tƒ+4 = Force = Sp-3 +Tƒ+3=Atom=Sp-2 +Tƒ+2=Molecule=Sp-1 +Tƒ+1=Cell/Matter=Sp +Tƒ=Human Scale=Sp+1 +Tƒ-1=Planet=Sp+2 +Tƒ-2=Star=Sp+3 +Tƒ-3=Galaxy=Sp+4+Tƒ-4=Cosmos.

We however simplify this equal value of all Sp x Ti=world-planes of existence for easier analysis, considering only the relative U∆ scale of growing planes, with a cardinal that starts in the smaller:

Forces: U=1, atoms:U=2, Molecules U=3, Matter/cells U=4, human organisms, U=5, Planets, U=6, Stars, U=7, Galaxies, U=8, Cosmos, U=9, between the invisible beyond human informative perception dark energy and dark matter.

It is thus clear and we shall use the term STience, to differentiate this philosophy of science, and perspective on reality, that the Universe is a game of space-time, and each science the study of one of its Universal Planes.

It has failed though for centuries to explain the whys and ultimate structure of that space-time puzzle. It has been ‘Science’, that is only a Science of space. STience is a wider concept where space is submissive to the flows of time and its actions, where beings are space-time beings and so all sciences are sciences that study varieties of space-time beings of different Universal Planes.

Science has been corrupted in its ultimate ‘quest’ for the whys of the Universe by its own success in a rather more pedestrian task, to find the laws of measure and equations of motion in space and time, the hows of reality. This shallow description of motions in an external world today is often confused with absolute knowledge. It is not. Because while we know we move in space and time, we have yet to solve what time and space is in its deepest sense.

Stience will not be completed till we know the whys of those motions of space and time; and specially the whys of existence in space and time. In other words, till we do not find an epistemology of ‘Stiences’, which accepts the fact that the Universe is made of relational space-times distributed among ∞ relative Space-time systems and species.

Thus there should be a philosophy of science, we shall call ‘STience’ which is dedicated to the study of entities as made of space and time parameters.

Since we have studied already the inverse properties of Spatial Energy and temporal information, in a simplified manner, let us consider now with more rigor, and in more detail the 4 main fields of analysis of Space-Time system in ∆ST mathematics, fully explored in different articles of this web. As they must be grasped with certain depth to understand the complex organic Universe and its systems of spatial energy and temporal information.

**Absolute relativity.**

Now the fundamental law of the ‘metrics of i-planes’ is the law of absolute relativity:

*‘0±4=Se x To: the product of the spatial energy and temporal information, or ‘existential force’ of any system of the Universe is co-invariant, has the same value, thus in ‘subjective’ To, frequency time, any system of a given family of 0±n co-invariant entities in the Universe live the same quantity of existence”*

This is the basis of Absolute relativity, the implicit non-anthropomorphic philosophy of science of GiST.

Human knowledge has been traditionally divided into 3 areas, mathematic-physical, biologic and sociological sciences.

If the Universe is a fractal of self-similar organisms, why we study them with 3 so different perspectives and languages?

The answer is that humans perceive the super organisms of the Universe across 3 relative 0±1 scales of size.

And so we can perceive reality as Shakespeare said, from:

-‘Above’ as kings (the i+1 social scale).

– At the same height as brothers (i-ndividual, organic, biological description of maximal detail).

– Or from below as ants, and then we see with lesser detail an i-1 cellular/ atomic/point-like scale.

This lesser way of seeing things with little detail originated the Euclidean geometry of points with no parts, which now we enlarge in GST to get more detail into fractal points.

And the result of those 3 ways to perceive reality is:

– The i-1: mathematical formalism, where ‘entities’ are devoid of all ‘content’ and are perceived as minimal ‘points’ with no inner parts. mathematics thus is basically an i-1 point-like vision of beings, which are ‘reduced’ to their simpler properties.

– The i-ndividual, organic perspective proper of biological sciences, where the entity is seen with ‘all its qualities’, and maximal perception from hum as. This is the biological ‘formalism’.

– The i+1 social plane, where the individual is just a ‘part’ of a higher social network in which he will perform partial ‘tasks’ and motions he hardly control.

This is the social scale, and it is the less ‘knowledgeable’ , according to the metrics of i-planes (Se x To=K), whereas smaller beings have more information and larger ones more spatial energy.

Thus the ‘information’ that comes from i+1 planes are reduced and accordingly ‘social sciences’ are the less developed.

SOCIAL SCALES.

Finally we study the S=10¹³ relative scales and its isomorphisms and *organic laws* of scales.

It is the smaller view, which studies the Social groups that form between 2 of such 0±1 scales by the grouping of individuals into ‘tetraktys’, 10 formal and functional groups, of 3 x 3 STe, Sta, STo, energetic, active and informative triads, ruled by the ’10th’ boss of the system that co-ordinates them all.

Thus we shall study also the social scales, from i into i+1, which go through 3×3+i, linguistic evolutions, as the group becomes organized first by ‘cellular’, genetic languages, then by ‘territorial spaces’ and finally as the STo mind starts to form, by the new informative, ‘nervous’ language of the system, which will make it emerge as a ‘fetus’ of the next scale, in the S10, final social, organic level. And then as an organism will further evolve ‘3 stages’ from micro to super to macro species

And so we study the S=10¹³ relative scales and its isomorphisms and *organic laws* of scales:

Let us try to slowly raise our awareness of the 5th dimension and start to perceive the architectural order of reality, step by step.

**Social Planes.**

It must be stressed though that as usual in the fractal Universe, we do have ‘repetitive’ elements that gather into bigger wholes and become then repetitive elements of bigger wholes. This translates in terms of the logarithmic 10¹º elements of a Universal Planes, in 10 smaller scales, which we shall call social scales or social planes (plane and scale is generally used as synonymous, though a more strict notation will reserve plane for Universal, larger planes made of ten up to ten elements, and scale for the smaller decametric scales of 10 individuals). Thus we can consider 10 social scales, which put together 10 individuals into a ‘family’, 10 families into a ‘clan’, 10 clans into a ‘tribe’, ten tribes into a ‘village’ and so on; studied in detail in the isomorphism of social scales and use the symbol § for each of them:

- § = 10 §-1 ∑§(1-10) = U

**Superorganisms. The pantheist Universe. **

All this said the reader must therefore understand that ∆ST brings 4 relatively new or rather ‘revisited’ and enlarged fields to geometry, which are extraordinarily enlightening of the structure of the fractal intelligent Universe:

*i-logic geometry*

The nature of expanded non-non Euclidean geometry, which I call i-geometry, (next vowel), and its 5 postulates, *which are the basis to formalize the fractal, scalar nature of the Universe, and the metric of the 5th dimension in space, as a new plane of space-time emerges when we move along those metric, ‘becoming smaller’ and then observing more cyclical information; or writing in 5D metric: <<Sp ≈ >> Tƒ*.

*Dynamic transformation of inverse energy and information*

The understanding of the inverse topologies of ‘cyclical, high, hierarchical temporal information vs. lineal, long Energy’ and its combination in the 3rd topology of ‘wide’ iterative reproduction. That is the understanding of the 3 dimensions of space in terms of organic functions.

*Holographic principle and the 3 varieties of bidimensional topologies (2-manifolds)*

The bidimensional principle closely related to the previous ones.

*Networks of energy, information and reproduction*

And finally the translation of all those concepts to the organic principle, through ‘fractal networks’, which are ‘another way to see’ reality, not with ‘continuous surfaces (topology) but as networks of points with a ‘fractal dimension’ defined by the density of networks. As this is the other, commonest option of nature. For example, your nervous system is NOT a membrane as your sensorial skin but a spherical form with a fractal network of axons. So the 3 ‘dimensions’ of a system, length, width and height are often isomorphic with 3 type of networks:

Informative networks with maximal number of axons, all of them connected, often with a cyclical form of top, as your nervous system is (which are homomorphic using math jargon to the informative function of tall spheres); energetic networks with the maximal number of ejecting ‘lineal’ cilia or glandular cells, in the length dimension which are akin to a plane of toroid, expanding parallel energetic systems.

And tubular networks that branch and close into cycles, which are the equivalent to wide, tubular, hyperbolic, reproductive systems.

# ∆>|2|. PHYSICAL SCALES

Scales are intermediate states in each of the 3 planes of all systems, as they are *NOT CHANGING THE parameters of entropy and information but merely adding social numbers. Thus in physical systems those scales allow social grouping of electric flows and plasmas (quantum scales), thermodynamic statistical masses and finally gravitational groups, in growing scales of galactic formations. *

We shall thus introduce here the main sub-scales of the 3 planes of physical systems.

**THE FRACTAL UNIVERS****e built with ****multiple spatial quanta and time cycles.**

*In the center of the graph, several experimental proofs of the fractal organic structure of all beings of reality: On the left, the Sloan fractal map of galaxies and its comparison with a neuronal cell; on the middle, an ice fractal, a plant and a river; on the right, a cluster of galaxies and a lung. Fractal and non-Euclidean mathematics have evolved our understanding of information in topological terms, defining a new arrow of time, fractal information, which all structures of nature constantly reproduce over a canvas of simpler, energetic motions. Time bends space into masses, said Einstein.*

*On the sides the 2 fundamental elements of those networks, in the left side its main quanta of space and frequency of time that together create the present space-time energy, or ‘existential force’ of physical organisms, along the 3 ‘fractal scales of space size and time clocks’ of the 5 ^{th} dimension; the ∆-1 quantum, ∆-thermodynamic and ∆+1 gravitational scales. In the right side, a boson state that integrates into a whole new scale of the 5^{th} dimension a sum of spatial particles.*

* accumulating in a present event of space-time, ‘Ei’, multiple quanta of space (concept of a system whose content of energy and information displayed in the formulae of the right side is measured by integrating those quanta in a moment of present), or accumulating in a point of space, multiple moments of time (concept of 5 ^{th} dimensional information, the 3^{rd} element of the fractal universe, shown, on the left side as a 5^{th} dimension of a boson state, where parts become wholes, grows in the dimension of height). *

*It should then evident to the reader, which likely has not understood what we have said, that to understand the fractal Universe we must completely change and upgrade our concepts of logic, time, space, and geometry. A task which physicists try unsuccessfully to complete a century ago when the fractal nature of space (quantum physics) and multiple existence of time clocks (relativity) was first hinted at. The result of merging the old paradigm with its wrong concepts of a single time clocks and single space, with the new findings was the quantum physics formalism and 4D formalism of relativity, which is the equivalent of the Ptolemaic ad ons of epicycles and extant to sustain the crumbling paradigm of the Earth at its center – in this case of a single space-time continuum and time clock.*

*T*he key to the needed Copernican revolution that implies and clarifies physics is the concept of a second arrow of future, the arrow of dimensional form or information and its vital, evolutionary and reproductive properties, which explain the process of creation of fractal structures by iteration and social evolution of parts into wholes – the 2 complex, vital arrows or space-time actions of all beings, which absorb and emit energy and information with the purpose of reproducing and evolving their forms and survive. Time evolves form, said Darwin. We can mathematize those processes through self-reproductive fractal equations that iterate a certain form of nature—an ice geometry, a DNA code, a cellular structure, a physical particle.

Since the Universe is a “fractal of energy and information, made of self-similar parts, which constantly reproduce their forms.” Indeed, from the simplest particles, quarks, and electron, which absorb energy and reproduce new particles to the most complex informative species, human beings, reality is made of bits of information and bytes of energy, evolved in complex, social networks through fractal scales, from atoms to molecules, to cells to organisms, planets and galaxies. The overwhelming evidence of the Fractal, organic nature of space-time and all the beings made of them, however is obscured by denial in the old paradigm of physics, of the nature of cyclical time and fractal space, whose correction is the first step to reach a higher understanding of the Universe. We introduce in this post the fundamental elements of the fractal paradigm applied to physics, extended into mathematical physics in future posts on the 4^{th} line.

In the graph, several experimental proofs of the fractal organic structure of all beings of reality: On the left, the Sloan fractal map of galaxies and its comparison with a neuronal cell; on the middle, an ice fractal, a plant and a river; on the right, a cluster of galaxies and a lung. Fractal and non-Euclidean mathematics have evolved our understanding of information in topological terms, defining a new arrow of time, fractal information, which all structures of nature constantly reproduce over a canvas of simpler, energetic motions.

Time bends space into masses, said Einstein. Time evolves form, said Darwin. We can mathematize those processes through self-reproductive fractal equations that iterate a certain form of nature—an ice geometry, a DNA code, a cellular structure, a physical particle. Since the Universe is a “fractal of energy and information, made of self-similar parts, which constantly reproduce their forms.”

Indeed, from the simplest particles, quarks, and electron, which absorb energy and reproduce new particles to the most complex informative species, human beings, reality is made of bits of information and bytes of energy, evolved in complex, social networks through fractal scales, from atoms to molecules, to cells to organisms, planets and galaxies.

A mass has a spherical – hence 3 dimensional form of time, but we reduce it as a convention to a point of time-information. Physicists do not explain it.

However in T.Œ is essential to establish as a why of those shrinking and growing process the concept of a non-Euclidean point, or fractal point that grows in size as we come closer to it, and hence a 5^{th} dimension of scalar space-time, which is at the heart of the fractal structure of the Universe.

Only then we will be able to talk of particle-points with some meaning, as the perception of a space-time being of a lower ‘plane of the 5^{th} dimension’.

And once we establish all the laws that define the discontinuities between those planes and how systems emerge from one plane to the other, and the quantitative relationships, etc. between D planes the whole meaning of a ‘charge’ (quantum clock seen as point particle of the ∆-1 plane of the 5^{th} dimension), mass (gravitational clock, seen as particle of the ∆+1 plane) and so on, we shall see that underlying the ‘Maya’ of the human senses, which see so little and so few motions to fit all the information in the mind, there is a vast, perfectly ordered, canonical reality of infinite time clocks, quanta of space, ‘related’ by a 5^{th} dimension of relative space and time sizes.

Then the second advance will be the most obvious error of considering the Cartesian graph the only space-time continuum of the Universe. We have already mentioned this blunt error, and so we just will enunciate it here. Newton took the Cartesian graph that Descartes invented to show merely the way the human mind sees light as space with 3 dimensions perpendicular to each other, and blew it to cosmic proportions making it the only space-time of reality.

So the obvious fact that the Universe had different scales of space observed with telescopes and microscopes, as well as multiple time clocks for each scale with different speeds, was completely overlooked.

So those errors of a single space continuum and a single mechanical clock reduced enormously the complexity of the Universe its multiple time clocks and space quanta of different size and the crystal clear organization of all its beings, made of space quanta and time cycles that conform the Universe.

Where an absolute space-time is merely the perception of all those beings pegged together on that background Cartesian space. In the next graph we see the ‘new outlook of the Universe’ with multiple scales, multiple space quanta and multiple nature time clocks (left side of the graph that shows the infinite cyclical clocks of time of the Universe and its relative ‘parameters’ that measure its motion, speed, temperature and frequency were ‘forgotten’, when mechanisms substituted Nature as the ‘measure of all things’, with the arrival of mechanic clocks.):

*In the graph, the Human ∆o mental language of analysis of physical systems (i-logic mathematics), and the 5D planes that defines physical systems: the Ui±1 Quantum, Thermodynamic & Gravitational scales.We must always understand the worldview of the Universe, departing from the language of the point of view, which in the human case, regarding the Universe is i-logic mathematics, a discontinuous, non-AE understanding of the way in which fractal points form networks of physical organisms.*

Let us then introduce the experimental facts and basic structure in space and time of the 5^{th} dimension, to develop then cosmological aspects of it.

In the graph, the 4 main relative scales of size and time speed in mathematical physics:

-The galactic, ∆+1, gravitational light space-time scale in which the speed of space-time cyclical actions (clocks) are measure by mass density. -The ∆, thermodynamic, molecular, matter scale, in which time clocks are measured by temperature.

-The atomic and particle, ∆-1 scale, in which time clocks are measured by frequency.

– And the dark world beyond galaxies and inside its central black holes, or ∆_{±2}, cosmological scale, wrongly considered to follow the same laws that the ∆+1 galactic scale described by Einstein’s Relativity principles and gravitational forces. Since in the metric of the 5^{th} dimension, when we change of ‘plane of space-time’, the parameters suffer relative changes in its time speed and spatial size, hence in related parameters such as ‘celerity’ in space and ‘density’ in time, the dark world must have different parameters, which we can hint at but cannot fully resolve; as humans always considered the central Plane-Point of view, ∆_{0}, have a dwindling perception of space and time across those seemingly infinite scales.

While the proper concept to use for a PreSenT Space-time system is ∆ST – a given scale of the 5th dimension; we have also added Ei, the Energetic Informative content of any space-time system, which are the terms used by physicists. In that regard, ‘Energetic information’, is the human equivalent to the sum of all the ‘formal motions’ or space-time actions deployed by a system, and soon we shall translate and explain its flows across the different scales of the 5th dimension in which time clocks changes (frequency, temperature and speed), and space quanta also evolves (h, k, c constants), but the total amount of formal motions (energy and information) is conserved, since the 5D Universe is immortal.

The Generator ultimately describes the different scales of 5D of the system. So we shall now study them together to start our 5D physics.

**5 D **implies the co-existence of 3 ‘relative’ scales of the 5th dimension in all systems, which in the case of physics are:

The ∆-1 atomic, electromagnetic scale

The ∆o molecular, Thermodynamic, matter scale

The ∆+1 Galactic/Gravitational scale.

5D metrics therefore considers first a general view of those laws and then apply them to the different ‘universal planes’ of physical systems, which are roughly 3, according to the logarithmic scales of the 5^{th} dimension, with its dualities, ternary dimensions of space-time, 4+∆ actions and decametric social scales of 5D growth:

– The quantum, force-atomic scale, ∆=-(4,3) which is roughly 10^{10 }times smaller in lineal space (Angstrom scale of atoms=10^{-10} meters) than:

– The Thermodynamic, molecular human scale, ∆=-(2,o), which is roughly 10^{10 }times smaller in lineal space (meter scale) than:

– The cosmic, gravitational scale whose unit is the solar system, (10^{7 }m. Earth radius ≈ 1.5 x 10^{11} Solar Orbit).

If we were to study those Planes in transitional Ln and Log scales we would observe in further detail that the basic laws of Social scales – the ‘tetraktys’ decametric scale in space is obeyed in physical distances in the general form 10^{10} ∆_{Œ }≈ ∆_{ U+1}

**MASS SCALES**

it is essential to understand how a new scale creates a dual force of present space-time, let us say gravito-magnetism, and then it splits it into a ± entropy information reversed directions, which allows the separation of two worlds, one with the + and th other the – branching of the new born dual force. In this manner as a force of electricity suffers the creation of a magnetic enclosure, it should also provokes the apparition of a mirror hierarchical force, as that energy contributes to the mass attraction of the being. a new scale of external force thus can always be a projection of a lower ∆-1 scale, but the proper way to perceive it is also given it a ± creative processing, as the breaking o the symmetry of the present constant of the lower ∆-1 force, transcends and emerges into a split of 2 functions.

Mass and magnetism thus have relationship, so do spin and mass, how those different cyclical motions provoke a larger scale of the 5th dimension and how much of its inner energy perceived sometimes as a loss of order or entropy is displaced from scale to scale forms an important part of GST.

In genera, though the simple growth of dimensions happens in units of 1 from frequency to area, to dual period to volume:

*In the graph, when we move to mass scales, the Organism is mass-energy, its cyclical parameter angular momentum, its energetic parameter lineal momentum. So mass and angular momentum are closely related by a lineal proportion and energy and lineal momentum by an integral equation. The game has ‘emerged’ into a new scale, which as it grows in sizes looses connection with the previous thermodynamic and electrodynamics scales. So the game renews itself.*

In the next scale above humans, if we consider a dual description escaping the ∆-molecular, thermodynamic scale, the organism of the gravitational world is a mass. And here we have difficulties to define its quantum form, as all seems to indicate under the machine principle and the symmetries of the Unification equation that this scale is the galaxy.

Thus we humans are in relationship with the mass vortex, rather closer to a Planck constant or a photon of minimal energy below the range of mass. This is obviously proved by the fact that the Planck mass or minimal possible level of influence of the mass state is enormous.

And yet we do feel residual gravitational forces, which clearly shows the enormous range of scales of the Universe, its most remarkable feature. So in the same manner the quantum atomic scale ranges in trillions of relative social scales, the mass scale above and below its natural unit – the galaxy and its central black hole has at least 3 ranges. We could consider then the cosmological ternary symmetry of its possible ‘black hole states’, which are the moon MACHO black hole, or planetoid, the star Black hole, or novae and the cosmological black hole or central galactic black hole, which could be compared to the photon, electron and molecular scale of the charge world.

Regarding the nature of the mass organisms, and its parts at those scales, they belong to geology and astrophysics. But as we said, the range of effects of its force as the range of effects of the electromagnetic force is much wider than one could calculate.

There is no doubt about it. This is the world which has an enormous array of species and social scales of evolution, formal exchanges of energy and information, yet all within the description of Non-Æ, fractal, cyclical space-time analysis.

Its scales will then be 3 as the fractal symmetry of the 5^{th} dimension requires, in which we shall find its constants of space-entropy and social numbers (time frequency) growing both together in inverse fashion to maintain the co-invariance of its social plane.

**Human mechanical scale.**

In that regard the perception of ‘mass’ for the human observer is rather different from its perception of ‘charge’. And yet we can find again our ‘Energy’ equations relating the fundamental elements of the mass scales.

So now, as we enter the human mass scales, the human being is more conscious of the quanta of space action, which we perceive directly, unlike the invisible ultra small quanta of the charge world.

What is that ‘quanta of space action’. Obviously the concepts of ‘speed’ and acceleration. We act on our world through speed actions, angular speed and lineal speed. So if the quanta of angular momentum will be ‘h’, and the quanta of lineal kinetic motion, will be ‘temperature’, in the mass scale, we have its 2 ‘conserved’ quantities, angular and lineal momentum, and we could consider a general non-quantitative but rather qualitative description of our world as:

E(t) = ∑ S (O-angular momentum x |-lineal momentum), which are the ‘steps’ in space of the full time flow of energy that encompasses all the space-time formal motions of the being or system studied.

The quantitative equation being, kinetic energy = ∫ lineal momentum

And so now we arrive to our scale as a human superorganism, in which our energy is basically mechanical related to the kinetic and potential energy of our planet and so we do have to scale to our ‘relative size’ and find a new equation for our main form of energy, potential energy related to the mechanical work of moving over the Earth. And so we do find the corresponding equation of energy:

E= gh m

Where g is the value of the gravitational constant/acceleration on planet Earth multiplied by h, the relative height of the system. And mass the first appearance of a mass vortex as an entity of space0time (see the Unification equation of charges and masses, to fully grasp the nature of mass as a time vortex in the previous post on cosmological 5D). And not surprisingly as we are in the human scale, g is measured as 9.8 m per second, again jumping around 10^{10 }new scales.

But g is not a Universal constant, but the constant of our planet, because we are now in full in the subjective human point of view, and we must add to the potential energy of the system its kinetic energy, which would be expressed in similar terms:

E= ½ v^{2} m

Whereas obviously v should be in this human subjective scale, the constant of human speed, which alas for a fit, adult male athlete is around 9.8 meters per second.

All those formulae, however are essentially variations of a more fundamental concept applied to human existence, ‘Force’, F=m x a is in that sense on the human scale, the defining relationship between a constant of entropy, ‘a’ expansive motion and a constant of form, of information, mass.

And this again introduces a theme which goes beyond this introduction – the slight changes happening in the way humans perceive the elements of each scale, force vs. energy and work, speed vs. angular momentum vs. acceleration, and so on.

And how as we transcend scales, given the fact that space turns into time, energy into information, what is in a lower parameter a function of form might become in the next scale a function of energy.

This is what happens in the case of ‘mass’, which becomes in the next scale the source of energy no longer constant, while it is speed what becomes now a constant-limit.

Of course it all seems confusing, paradoxical, but that is the ‘core’ nature of the Universe so difficult to understand by the one-dimensional human mind…

**Solar system scale.**

And so now we come to the solar scale, where the sun through nuclear radiation mostly produces Energy, transforming mass fully into energy:

E_{∆+1}= c^{2} x m (Tƒ)

And not surprisingly we are again finding a bidimensional constant related to space actions, the constant of light speed, in which mass transforms itself according to its relative density (nuclear reactions). And we do have a jump of around 10^{10} scales.

As the speed of light is 3 x 10^{8} meters per second.

Here is where we can wonder about the value of this constant c-speed that cannot be crossed.

If the clock of ‘time’ of these scales is speed, equivalent to temperature or frequency, the question is ‘why there is a barrier’ of speed, c, which cannot be crossed.

It is easy to see why when we compare speed with Temperature. The c-barrier is a barrier between two ‘scales’ of reality, the scale of light space-time and electronic mass we live and the creation of denser states of matter, strangelet and top quark mass, of much higher density.

As a system change from a liquid to a solid state, *Temperature no longer varies, as speed no longer varies, and all energy comes into the transition phase of state.*

So happens in the c-speed, which is NOT an absolute barrier of the Universe, but a barrier similar to that found between a lighter gas and a liquid or solid state, as we shall soon consider when studying the process of antisymmetric creation of the Universe.

The advantage of T.Œ indeed is to have this capacity to compare phenomena in different scales even in different sciences, which has always been done in science, but without understanding the underlying game of 5D fractal space and cyclical time and its dualities and ternary symmetries origin of them all. So the fractal Universe is always self-similar (not equal) in tis processes and that difficult to accept qualitative not quantitative, topological not geometrical ‘generalization’ as a form of deep knowledge is what we brought here.

This we have to stress many times: qualitative, homologies is true knowledge, not only detailed mathematical how measure, but deep why understanding, which is what T.Œ. ads.

So we can also among any other similar processes compare the c-speed limit with the transitions that happen in all other scales when a ‘denser’ form is created from a wave, in this case instead of a ‘fluid present wave of light’ converted into mass wen reaching the barrier of change of state, we can put an example of al liquid wave, which moves from a laminar state to a cyclical vortex state:

In the graph, we see that when we reach a certain key speed, V, a laminar flow of bidimensional sheets of lineal speed no longer accelerates but for a while maintains its speed and all the energy is absorbed by the laminar flow. Since it is CREATING the equivalent to the mass increase in a c-speed barrier on an accelerator. In this case it is a vortex creation within the liquid. This vortex, are accelerated clocks of time on the liquid, equivalent to the charges on the electromagnetic space or the masses on the galactic space and as such it absorbs more energy than the wave state (it is by definition more dense, as vortices accelerate inwards, Vo x Ro = K).

This comparisons also strongly prove by homology that indeed temperature and speed are the clock-like parameters of both scales, which measure the frequency of the ‘steps’ of the space-time process.

So in this constant dance of parameters that switch between space and time state, entropy and information, speed acts in certain phenomena as the constant, in others as the ‘time frequency’ (as in the motion of a wheel measure in ‘revolutions per minute’) and in a sense as the ‘energy’ element, sum of all the steps of form of a certain wave motion… so we can write also:

V (∆)= l (s) x ƒ (t).

Perhaps the major difficulty for humans to grasp reality is its paradoxical logic, a theme argued in the next posts on the non-Aristotelian structure of mathematics, and when we define the mind as a ‘spatial fixation’ of the fleeting constant, changing motions and values of reality.

In a way all form of knowledge is the attempt by a mind to fix reality but reality always transmutes.

The beauty of physical systems, and the 5^{th} dimension inversion of value, dualities and ternary symmetries is for those with enough flexibility to see how ‘the flow of time, space and planes of energy, constantly transmutes and still keeps its meaning.

Nowhere those transmutations are more obvious that in the borders between waters on the changes of states, of ages of planes of topologies that happen on the maximal and minimal of the ‘calculus’ of variations of any function of existence.

In that regard, perhaps the fundamental law of the 5^{th} dimension is the law of transmutation that we will repeat again:

**| **_{∆-1}: O_{∆}: **| **_{∆+1}

Which ultimately can be understood in terms of the 3 organic functions in space and 3 ages in time of the worldcycle of existence of any system of space-time, which switches in those functions as the overall system evolves and interacts with other space and time parameters of larger and smaller systems, in either its entropic field-gas, wave-liquid, crystal-particle state.

Now what is mass is not so clear, and what is time in the mass world is less clear, as all this is very subjective/human and humans use lineal time, which is an erroneous very limited version of it. And they measure it on the human scale with clocks, which makes it even more messier. As landau ironically put it: there is no uncertainty of time in quantum physics, I look at my clock and I know what time is. So we need to do some technical specifications for experts.

Mass is the cover and the zerŒ-Point of a whole cosmological entity, and space is its vital space within. And this is the easiest way to visualize it. But in lineal time obviously classic science – relativity – dealt with time and space concepts in a different way.

In relativity, the 3 momentum coordinates and the energy are the 3D space and lineal time parts of a space-time vector, the four-momentum.

And the length of this four-vector is proportional to the rest mass *m*.

So Energy here is still the whole space-time formal motions of the system, through its total ‘time duration’, and so it can be related to the ‘total volume’ of the worldcycle of the system, to its Integral Whole Energy; whereas the derivatives of the Energy are the space-slices measured in terms of momentum.

Mass thus become the whole of this worldview of the system, the product of its ‘spatial steps-momentums’ and its whole lineal duration. This physicists describe as the ‘block’ of the worldline of the being.

This works then also when Dirac introduced relativity and hence mass concepts into quantum physics of particles.

In his equation rest mass then became proportional to an eigenvalue of the 4-momentum operator, the proportionality constant being the speed of light:

P_{op} y= mc y

It is this repetitive concept of mass density as the enclosure and frequency of a ‘space-step’, the c-speed of light, which is the ‘Spatial Extension constant’ of the mass scale rather than the speed of light, what surfaces once and again in those equations.

In the same Dirac equations, mass appears also as a factor of a conjugate of a particle and antiparticle with a spinless zero annihilation of the ± up and down spins into a scalar. In brief, the relationship between the particle and mass scales appears only when the lower charge scale dies and emerges in the upper scale. This is again a constant fact of all emergent systems. The lower scales diffuse into the larger ones. So we do not use spdf orbitals describing molecular systems but the simple lineal and cyclical duality of |-sigma and O-pi orbitals.

The details are all those complicated quantum formalisms, which physicists hardly interpret. So for example, they did not realize that what matters in the mass factor of a Dirac conjugate is the life-death switching of particle- antiparticle states that cancels all other now neutral forces letting mass surface, but thought merely on the chiral and anti-chiral property of particles and antiparticles as the ‘thing’ that ‘makes mass exist’.

**Dark energy/neutrino scale: beyond the ****galaxy.**

And so we arrive to the last scale of which we humans have any ‘idea’, which is the cosmological scale, in which the obvious constant of Spatial Extension should measure the ‘speed’ of dark energy, and we could consider different formulations of the Lambda, Cosmological constant of expansion of space between galaxies, but as this theme is on my view in the present format highly speculative, and has been treated in the previous post on cosmological 5D, we leave it here.

Just to mention for fun, the complete messed up situation of classic physics in this issue (:

The dimension of Λ is a length^{−}^{2} in Einstein’s relativity and it has been calculated, if the cosmic big-bang is certain (which as we clearly explain in 5D cosmology is not) to have the value of ~1 x10^{−}^{52} m^{−}^{2 }astoundingly small, which seems to contradict all what we are telling here.

And yet, when the same physicists calculate the constant on their theories of unification, the value that comes up is a Mass measure of the order of the Planck Mass , elevated to the 4 canonical dimensions of our models , as we convert points of a lower scale to a larger one. But alas, the measured cosmological constant is smaller than this by a factor of 10^{−}^{120}. This discrepancy has been called “the worst theoretical prediction in the history of physics!” LOL.

**RECAP**

In Physics we find the same 3±1 ages or ‘states’ of matter and 3 ∆±1 scales for all systems known to man:

– The ∆-1 scale is the quantum world. The fractal principle classifies all quantum subspecies.

I.e., Strings have 3×3+1 Ds across 3 scales of ∆-1 strings, ∆-branes and ∆+1 particles. There are 3 ages of quarks & electrons of ∆ information and -∆ size (Max.Tƒ=Min.Spe). S/T dualities define also n-p pairs, boson forces & Universal constants.

– The human ∆-scale in which we observe 3 States of matter, the ‘energetic’, gaseous state, the liquid E=O balanced state and the informative, solid state, between ‘plasmatic birth (∆-1) and ‘big-bang’ extinction, when informative vortices (∆+1 masses and ∆-1 charges) become energy, according to Einstein’s equation (E=mc^{2}), written in Planck’s notation as E<=>M(O). Since mass is a 2-manifold vortex of gravitational information (graph): *ExT=K, E=Mc ^{2}. Hence M=K/T=Kv; where v is the rotational speed of the mass vortex proportional to its attractive power – a clock cycles which carries the information of the Universe in the Tiƒ frequency of its cycles.*

While on ∆+1 Earth matter follows 3 ages cycles (water, nitrogen cycle, rock cycles, etc.)

– Finally in the Cosmic scale ∆-1 atoms, which gather into ∆-stars, which become parts of social ∆+1 galaxies.

Further on a wealth of solutions to fundamental questions of physics, derive from 3×3+1 dimensional metric. I.e:

– Antiparticle’s travel to the past in Feynman’s diagram. They are particles ‘death processes’ (Max. Se=Min.Tƒ) of minimal duration, which explains its perceived scarcity since its total space-time momentum is minimal.

– Einstein’s 3 topologic varieties=solutions of his 2-manifold spatial metric, according to the value of the cosmological constant, are symmetric to the 3±1 ages of the Universe’s cycle: The post-big-bang young age of expansive energy, the steady state solution of a balanced Spe=Tiƒ ‘adult’ age and the 3^{rd} big crunch, informative collapse (Max. Tiƒ) followed by its big-bang explosive death, mimicked in galaxies, born as gaseous nebulae of max. E, which become balanced spirals and collapse into black holes of dark matter, to explode in quasar big-bangs^{2}: Se-Big-bang>ST-steady state>Tiƒ-Black hole Vortex.

– Thus we resume the 3 ∆±1 scales of the cosmos, with the Fractal Generator of Physical Beings: ∑∑_{∆-1}ST-Bosons>∑_{∆}Tiƒ-Charges> ∏_{∆+1}Tƒ-Masses.

**i-logic mathematics and the 5th dimension. How networks co-exist in several scales.**

The Metric of the 5^{th} dimension in physical systems:

*In the graph, the metrics of the 5th dimension, Se x Tƒ = K, and its inverse arrows of informative entropy (downwards) and energetic entropy (upwards) establish the difference perceptions human have of its geometries and volume of information: we will find elliptic geometry upwards (general relativity), Euclidean in our plane, and hyperbolic downwards (wave states dominant on quantum physics). *

*On the other hand, we will find much more information downwards (quantum multiple paths and fractal electrons, and sum over histories), as the speed of time clocks are much faster (hence we see many world cycles of particle together from our slower world); that upwards (slow paths of galaxies). Finally this in terms of curvature will appear as a huge increase of curvature in the lower scales (Q-constants) compared to the upper scales (weak G-constant). allowing a simple unification equation of both scales. *

*Those results can be achieved with great detail using the more complex formalisms of quantum and relativity, but as we shall show now (as all sound models are similar), we can achieved the same ‘whys’ of the most seek after answers of mathematical physics, just with a sound conceptual reasoning and simple maths:*

We can represent the 3 physical planes of existence in terms of 5 D metrics, as we do in previous graphs, whereas a human being will be sandwiched as the main reference point of view, ∆o, of human science between the ∆+3 galactic and ∆-3, atomic scale.

So we define combining the 3 planes and the metrics of 5 D for physical systems:

**∆.** Spe x Tƒ = K

Which we break into 3 scales:

**∆±1.** ∆+1: Max. Se x Min. Tƒ (Galactic scale) ≈ ∆-1 Max. Tƒ x Min. Se (atomic scale) ≈ ∆: Tƒ=Se (Thermodynamic scale).

In the graph motion moves downwards from galactic vortices to every piece in existence without any ‘entropy’, hence ‘Galilean Relativity: it is impossible to distinguish motion and form. On the other hand information moves upwards in genetic coding through reproductive waves of information that have minimal error in transcription, and the combination of those arrows establish certain rules of chirality and differences in the perception upwards and downwards from the central human ST, constant world, the other worlds above and below.

Thus 5D metrics creates two inverse arrows of entropy (upwards) and energy (downwards) of information (upwards) and disorder (downwards): Further on, it studies the relationships between those scales and asymmetric flows of energy (max. downwards) and information (max. upwards) between those scales.

Thus as in all other co-existing systems for each physical system is fundamental to study Se x Tƒ flows ‘between planes of existence’ and the chirality of the arrows of time upwards, where entropy diminishes motion order but information of still order moves perfectly (quantum coding of atomic scales and atomic coding of thermodynamic scales) and downwards, where motion has no entropy (perfect synchronicity of wholes and parts in mechanics and gravitation).

Thus, the third element of T.Œ is the understanding of the fractal structure of space-time, divided into infinite scales of relative size and speed of information, which are inverse but co-invariant, meaning that smaller beings run faster its clocks of information, coding larger beings (so genetics codes biological systems and quantum numbers material systems), whole larger beings move slower but can synchronize with its huge bodies a myriad of little beings (so the Earth guides the evolution of the information of its beings, with its weather cycles of energy and the black hole guides the informative vortex of stars and planets towards its centers with its gravitational waves).

In the graph we see the fundamental 3 scales of reality, the gravitational slower scale the human thermodynamic scale and the atomic, genetic scale.

This 5^{th} dimension and its formal metric are the key to fully understand the organic structure of the Universe, as the 3 ‘canonical scales’ of all superorganisms of reality, physical and biological systems extending through ∆±1 scales of the 5^{th} dimension (ab.∆), the quantum-cellular ∆-1 plane, the ∆ individual/thermodynamic plane and the ∆+1 organic, gravitational planes.

The fifth dimension orders all those scales of size and speeds of clocks into a ‘metric system’ able to explain all kind of ‘motions’ and ‘actions’ that take place in isomorphic ways in all those systems.

This definition, when translated to mathematical physics, coupled with the Principle of Relativity as defined by Poincare-Einstein, ‘we cannot distinguish motion from stillness’ will allow us to derive all the laws of Physics; but it has the advantage that can be applied to all other sciences, to define all the laws of knowledge.

Indeed, what we have just described logically IS not only the fundamental particle of physics, but the fundamental entity of any biological, social system – the key to the unification and understanding of the Universe, as a whole and all its parts, self-centered entities of time-space that put together create the puzzle of the Universe.

Since any cycle has the logic properties of repetition, which are the origin of the patterns, we call ‘science’, whose completion breaks space into an outer world and an inner ‘vital space’, whose ‘gradient center’ is the ‘point of view’ of the system that gauges the external information of the cycle.

As such the understanding of the time cycle, its interaction with its vital space and central point, and its synchronization and social evolution with other time cycles into larger wholes, which structure a ‘5^{th} dimension’ of scales of space-time (so particles become part of atoms, surrounded by electronic cycles, which become part of molecules, surrounded by thermodynamic cycles, which become part of masses, surrounded by cyclical gravitational fields; and the same process brings DNA-cells surrounded by protein membranes, with a vital cytoplasm space between them.

And yet those cells, then become the internal vital space of a larger whole, your organism, surrounded by a membrane of multiple life cycles, your sensorial skin, which has once more a self-centered point of view (frame of reference in mathematical physics), called your brain that gauges energy and information. And yet again, from the upper scale of relative ‘sizes’ that we call generically the 5^{th} dimension, you are just a moving, open, ‘free’ individual, however enclosed by a membrane called a ‘frontier’, part of a vital territory called a nation, with a self-centered point of view, called a capital and a president, king or dictator, or in capitalist societies a ‘stock-market’, which controls the system and gauges its energy and information.

But in the same manner cyclical time and fractal space applies to all systems of all sciences, the 5^{th} dimension and its metric apply unlike ‘physical concepts of space-time’, such as c-speed deformations of time essential to 4D metric, to all systems NOT only far removed scales of physical time.

5D metric can explain from faster metabolic rates in smaller animals, with faster time cycles; to faster information processing in smaller chips with aster time cycles (Moore’s Law), or faster rotary options in smaller masses which have paradoxically faster rotary, attraction properties (rotating Black holes and quarks).

What it will be difficult for this writer after 20 years of exploring all the possibilities of this TŒ, and the immense number of questions resolved by it, is to ‘organize’ all that new knowledge in a manner that the reader does not get lost, due to its ‘encyclopedic extension’. Tƒ that aim when this blog is partially finished sometime during 2016, if he follows the top sentences, all should make sense.

Thus we shall try to give a general look to this TŒ in this first post, studying its 3 main elements: ‘Still, lineal, slow spaces’, ‘fast, cyclical time vortices’ and the 5th dimension which organizes them through the co-invariance of spatial size and time speed, Sp x Tƒ = K.

So we talk of a ‘fifth dimension’ of scales, which has a hyperbolic geometry with the lineal limit of quantum physics and the cyclical limit of cosmological gravitations, along which an infinite number of time cycles enclosing vital spaces, exist, in an orderly fashion provided by the metric of the 5th dimension.

**10 logarithmic scales.**

Tƒ notice that the 5th dimension is based on 10 logarithms because the ‘Tetraktys’ is the most perfect group of 3 x 3 + 0 elements, which become specialized in the ‘Sp-energetic, Tƒ- informative and ST-reproductive, iterative functions of the ‘Program of survival’ of all systems, which will be made clear latter on, when we analyzed the world cycles of time and the ternary Generator equation in space and time, of the fractal Universe.

You have to be a bit patient, as we have first to ground all this in some basic mathematics. Thus between 2 such scales of the 5th dimension we shall always find around 10¹¹ elements – the ties of a DNA molecule, the stars of our galaxy, the cells of a super organism, the galaxies of the perceived Universe, and between the Universal Constants of Space, we will find the same differences, the energetic value between the H-Planck constant of Tƒ in the ∆-1 quantum scale and the k-Boltzmann constant of the ∆-Thermodynamic, human scale; and then the µ-magnetic scale and so on.

So this said, the 5^{th} dimension is in the holes of the real numbers each of its decametric decimal a lower scale of the 5^{th} dimension. Yet as usual those numbers should be really cut every 10 ‘decimals, because then we enter into another scale where anyway the values of constants such as Pi, and √2 vary as Lobachevski’s proved.

This is made clear just by revising a simple number, e, but a key number for the derivative, proportional emergence or descend between scales, approximately 2.718281828. to the 9^{th} decimal. The reader will observe that actually those 10 numbers form a simple series, 2.7 18 28 18 28 repetitive in extreme (except the first decimal missed by one to make it a perfect 28-18 variation, but after the 10^{th} decimal it breaks, with 2.7 18 28 18 28 45904 etc. That is, the equivalent to the loss of meaning and yet one more of the so many proofs I have found of the existence of the 5^{th} dimension, its geometries, algebras, and mind forms, circular membranes, points of view and ternary organic parts.

Indeed, e ^{x}= [(1+1/n)^{n}] ^{x} is the only derivative which is proportional to the same number, since if we take 1 the whole and n, one of its finitesimal parts, in space, a quanta, and then repeat this growth of diminution an n number of time, and an x number of social scales of the 5^{th} dimension, we shall find the emergence processes or dissolution≈ death processes of most systems of the Universe.

The quantitative scales however always yield in its meaning to the functions, and ternary symmetries we shall discover that make possible the existence of all systems as combinations of 3 ‘scales of the 5th dimension’ (quantum-cellular, thermodynamic-organic, gravitational-social), 3 synchronous topologies and 3 diachronic ages, so we soon will write the Generator Equation of Space-time Beings:

**Γ****.** ∆-1: Sp (young-past-entropic limb/field) ≤≥ ∆:ST (iterative, adult, present wave-particle) ≤≥∆+1: Tƒ (future, informative head/particle)

This simple structure and all its fractal variations is essentially the description of any World-system, whose sum creates the Universe: U=∑W

Relational space-times thus have the key word ‘relational’, which merely means we need a ‘metric system’ to order and relate all those space-time cycles of the Universe.

And this is the 5^{th} dimension of the Universe: the metric laws that put and order, RELATE to each other all the time-space cycles of the Universe, of which we are all made.

Thus, one of the immediate consequences of the formalism of 5D cyclical time and fractal space is to set the record straight on physics and its ill understood 3 modern ‘ideas of time’. They are further understood in terms of the arrows of future-information, past-entropy and present-reproduction and its infinite fractal cycles in 5D metric.

According to 5D metric, Time vortices accelerate downwards the speed of its time cycles, making smaller vortices more attractive Tƒ-Particles with increasing information, and hence the smaller spaces paradoxically more complex, storing more energy too. Reason why electromagnetic ‘smaller forces’ are much more attractive than gravitational.

In the graph we see the structure of physical and biological systems along the 3 scales of the 5th dimension.

In between scales motion transmits perfectly from upper scales to lower scales, while on the opposite direction, it does not (entropy effects that doesn’t allow to extract all the motion towards larger wholes) and vice versa, information does not transmit properly from upper to lower scales (no Lamarckian evolution) but it does from ‘genetic, quantum scales’ towards wholes.

And this the key to interpret the way we perceive lower scales as ‘hyperbolic’ with more information (quantum and Minkowski’s formalism) vs. larger scales with less information (elliptic, Riemannian Geometry of Gravitational Relativity).

Latter we will consider 2 basic effects of those processes, WHICH ARE AT THE HEART of all the ‘big whys’ of modern physics, and when properly developed in the 4th line will give us all the results seek for the past century – the explanation of physics, the unification of charges and masses (0-isomorphism), and the reasons of General Relativity strange space-time physics (∆±3 scale of the Universe).

**The 3 geometries of physical scales.**

We thus will observe 3 type of geometries, according to our 5D ‘angle’ and its simple metric: Se x Tƒ = K:

- In a single plane of mechanical and Thermodynamic forms, we shall observe lineal Euclidean geometries transmitted by the 3 perpendicular dimensions of light space, as neither Se or Tƒ suffers any deformation. Both remain constant , so we observe a holographic Universe, where Se= K/Tƒ define according to both parameters most equations of Mechanics and Thermodynamics. For example: Se (volume) = K/Tƒ (pressure) is the equation of the commonest gas space around us (atmosphere).
- In the upper gravitational space-time, as ‘space enlarges’ while ‘time slows down’ it appears a Riemannian, elliptic geometry one of the non-Euclidean geometries that completely rejects the validity of Euclid’s fifth postulate and modifies his second postulate. Simply stated, Euclid’s fifth postulate is: through a point not on a given line there is only one line parallel to the given line. In Riemannian geometry, there are no lines parallel to the given line because space enlarges, thus from our smaller perspective we see those lines diverging, and time slows down. And those are the exact effects defined in General relativity.
- On the other hand the lower quantum scales will appear from our perspective made of point-particles, and those point-particles will appear to be crossed from our larger perspective by multiple parallels. So the charges and particles of quantum physics will show the inverse hyperbolic geometry, crossed by multiple parallels.

Now in this quantum scale time goes ‘much faster’ than in our universe, so when we take measure of it, we actually cannot easily differentiate a spatial and a temporal vision of it. And so the question which is always discussed as if it is a wave density or a wave probability can be interpreted both ways due to the duality inherited to the Universe: it is an electron moving so fast that we cannot see it in a given point and when we capture it is the sum of the points it travels though, or it is a sum of fractal bosons? This is my preferred solution albeit not the standard one.

Ultimately it does not matter to me as duality is essential to my understanding of the Universe. Populations in time and forms in space use the same maths because they ‘ARE’ co-existing. One is NOT more truth than the other because PLANES OF THE 5^{TH} DIMENSION CO-EXIST, so while right now your whole is static in form, your cells are busy, busy moving. This is what never got through the mind of humans who see ONLY one thing at a time, and what fascinates me of quantum dualities – they DO prove 5D metrics.

This said we could introduce understanding that there are ALWAYS 4 true model perspectives the iƒ, informative, Ti, clock-like moving, Se-space and Sp-kinetic energy perspective…. Using the simplest of the 4 (latter analyzed), the Newtonian, Tƒ perspective of gravitation NOT the more complex, iƒ-informative Einstein’s analysis of space-time as still, formal geometry…

Now the analysis of all the elements of space in the 3 scales of physical systems (Se-light space, ST-waves and Tƒ cyclical time clocks) will be obviously too extensive for this introduction so we merely will consider here a few themes:

– First define the relationship between space and energy: se and sp, two sides of the same coin by introduce the still-moving lineal and cyclical parts (Galileo’s paradox and Holographic principle of bidimensionality of time and space state).

– Then study together the space and time symmetries, which is the form and function of the different parts of beings as Tƒ, Tiƒ, Se, Sp.

– Then study together the 5D planes and space symmetry, which explains the fractal structure of the Universe. We shall consider the philosophical aspects of space as a fractal through different 5Dimensions (in other posts we formalize it with fractal equations).

– Finally to consider in other posts the analysis of Tƒ, ST wave and Se fields.

We have study the Tƒ-cyclical time vortices masses and charges, unifying them through the metrics of the fifth dimension in the isomorphism of the zero point.

– Se: We will consider revisiting special relativity the meaning of the Se-field or light speed, which is the constant of space of our Universe (hence a fixed parameter) both in philosophical and mathematical terms. But this part will be put on the description of the first scale of reality – that of light space (∆-3).

And we shall study some elements of the ST-wave transformations, which communicate the two Tƒ, and Se fields in our universe in the analysis of light space-time, as it is really the mother fall battles.

So basically here we give an over all geometric-topological understanding of the space-symmetry, which will be further analyzed in physical terms of parity and chirality on the 3^{rd} and 4^{th} lines.

**The 2 asymmetric arrows of the 5th dimension. Physical sub disciplines.**

In that regard it is obvious that the asymmetry of the 5th dimensions MATTERs a lot to understand matter and each of the different sub disciplines of physics. So let us enumerate them, with those basic new concepts:

__Mechanics__ is the science concerned with the motion of bodies under the action of forces, including the special case in which a body remains at rest, relative to the observer; that is, as a ‘form of space’, Se, whose symmetry with the same form in motion, Tƒ, requires to analyze Galilean Relativity, as both are indistinguishable.

__Relativity__ gave birth to a lot of literature on physics, considered essential today to understanding of time as a whole, but in true form only related to the first time=change action of reality, ∆a-ccelerations, that is external changes of a particle, when existing in the relative ∆+1 scale of the being.

__In the framework of modern physics__, classical mechanics can be understood to be an approximation arising out of the more profound laws of quantum mechanics and the theory of relativity. However, that view of the subject’s place greatly undervalues its importance in forming the context, language, and intuition of modern science and scientists. Our present-day view of the world and man’s place in it is firmly rooted in classical mechanics. Moreover, many ideas and results of classical mechanics survive and play an important part in the new physics.

It is in fact the other way around, mechanics, ∆o, IS the more accurate and Relativity, ∆+1, and quantum physics, ∆-1 are ‘distorted’ by the asymmetric arrows of 5D and the limited energy transferred from lower scales (quantum bias to information) and information from upper scales (darkness of gravitation).

Thus the task of T.Œ is to ‘open up our eyes’ to the laws of the invisible world of gravitational, dark energy and matter (dealt with in ∆>|3| cosmology) and solve the imbalance or excess of information on quantum physics, which requires functionals (multiple functions) and multiple stories (all the possible information) of the system to be fully analyzed.

Those though are themes treated in ‘General physics’ that studies all the scales together. And will be considered in the ∆<2 and ∆>2 posts of the 4^{th} line.

This said, in many posts, regarding the limited scope of Galilean and Einstein’s relativity, we should not dwell on these themes.

In the graph, human mechanics is concerned with the ‘absorption’ of entropy-motion from the larger gravitational scale of the Universe, U1, by particles of the human scale, ∆o.

– ∆+1<∆o:

Thus, the main field of mechanics is the relationship between matter, ∆o assembles of atoms, without regard for its ∆o Thermodynamic properties and the larger U1 gravitational scale, where mass effects start to appear at the range of Planck’s mass constant, the average mass of a gold atom, and a top quark particle, the boson unit of a black hole, which is the ultimate source of gravitation, in this galaxy.

It follows that the laws of mechanics are laws that follow the isomorphisms of exchanges of energy and information from Un and Un+1. The Un+1 scales provides motion to Un and this motion is superfluid, with no loss, unlike the inverse process in which Un scales provide motions to the Un+1 scale, and this motion is entropy (with loss and disorder).

*Hence it requires a different treatment. And we can establish 2 parallel fields, according to the 5D arrow they represent:*

*– Mechanics: ∆+1<∆o; Heat: ∆o < ∆-1, in which all the energy of the upper scale transfer as motion in the lower scale. So when you move the hand, all your atoms move in synchrony and when you heat a gas all the energy become kinetic motion. In that regard it is easy to see its parallelisms:*

*Heat: *According to the law of energy conservation, the change in internal energy is equal to the heat transferred to, less the work done by, the system. If the only work done is a change of volume at constant pressure, the enthalpy change is exactly equal to the heat transferred to the system. Since all the energy is transferred to the lower scale. H = U + PV : Thus Enthalpy is an energy-like property or state function—it has the dimensions of energy, and its value is determined entirely by the temperature, pressure, and composition of the system.

*– Thermodynamics, ∆-1<∆o; where we must add a factor of energy that stays in the lower scale, so only the Gibbs Free energy is available: G=H-ST. G is the available energy, and S x T the entropy that increases with temperature. Thus the more we ‘strain’ to transfer motion through temperature, the less energy we have available, as the lower system WANTS to keep its balances of existence unchanged, and so it has A resistance to get away from its point of equilibrium, as it happens with mass when we try to accelerate it into its ‘lorentzian region’ of death (c-speed).*

*Thus entropy is only the proof that each scale tries to maintain its balance.*

In that regard, we should consider, ST, the energy of ∆-1 NOT available to work, G a parameter of ∆o, the energy available to work, and H = U + PV is the enthalpy of the system, the overall energy, of both scales, that is the sum of the internal energy (∆-1 scale) and the product of the pressure and volume of a thermodynamic system (∆o parameter).

– ∆-2< U1. Electrodynamics (Quantum Mechanics), which deals with the transfers of motion from the particle state to the atomic states, and again we find entropy (loss of motion), which is not transferred and kept into the particle state – albeit expressed as probabilities which do NOT enter the path of least action of maximal probability.

In other words, the present formalism of quantum mechanics is expressed on terms of ‘information-time’ not on terms of its symmetry of ‘energy’ as thermodynamics but both concepts are equivalent

If we understand both Thermodynamics and quantum mechanics in terms of the fundamental equation of physics (Hamiltonian), we shall find a better expression of those parallelisms, only that in quantum mechanics as the graph shows there is maximal information, so we have to use ‘functionals’ (all the possible informative paths a particle might travel), while in thermodynamics we can get away with simpler functions. This subject though is beyond the conceptual parallelism we have established well beyond the ‘introductory level of the 2^{nd} line’ (Should go in 4^{th} line time permitted, or others will do).

So now we go back to our Generator and it symmetries, to describe the elements of each physical subspecies of those scales as organic systems. Which is after we understand it in scales, the next knowledge we extract from beings.

**Recap.** The UNIVERSE IS made of bidimensional cyclical times and fractal spaces, which merge together to form a holographic 4 dimensional being. The order of all those fractal systems of space-time requires a further 5th dimension of relative scales and sizes in space and frequencies or speed of its time cycles.

The outcome is a 5 Dimensional metric Universe, in which each relative scale of size is studied by a different science.

Now, that we have introduced two of the essential elements of 5D Fractal space-time – 5D Fractal space, we shall consider the 2^{nd} key element, cyclical time and its 3 relative ages-dimensions-motions of past-present and future. To do so first we shall obvious consider according to the correspondence principle, what physicists have so far understood of time, very little initially but quite a lot when we interpret properly their equations.

**∆º±1: CHEMISTRY**

The thermodynamic scale is that of chemistry, crystallography and the study on how atoms become molecular systems, which we shall study in the next post. So we conclude here the analysis of the isomorphisms of physical systems on the ∆-2 atomic scale and its co-existent scales around it, to focus in the analysis of each of those 3 planes of physical existence, not exhaustively but merely considering in each of the next paragraphs some interesting aspects of the whole thing, to give a sense of how rich in whys and meanings is 5D physics (T.Œ of physical systems).

- SOME analysis of those scales in the atomic ∆=2 level:

In ∆=2: atoms, the isomorphic quantum scale, similar to the galaxy, we find:

- The H-He, Li, Be 4 ‘micro-atoms’ with its minimal size-energy S1,2 spherical orbitals, which form an ‘ecosystem in itself’ (with the medium, steady state Helium preying in all the others, which convert through fusion reactions into Helium accounting for its relative hyper abundance) ; the ‘regular atoms’,

The atoms with s,p,d orbitals, from the 5th B, through our C,N,O life family across the metals which add a d-orbital and have in its ‘middle’ steady state, the iron of maximal top predator Sp X Tƒ existential force (perfect nuclear, O-configuration and Maximal Sp-valence variety), through the 56 element Ba. Those are again the dominant forms…

** ∆± 3: ****GALAXIES**

The scales of galaxies are also evident. In ∆=8: galaxies we find, small globular galaxies, spiral galaxies like ours, the regular size, and cannibal galaxies of enormous size that devour all others. And at quantum level we find social scales of masses in 3 families:

*In the graph the ‘sane’ understanding of black holes, which are born exceedingly hot and active, as all ‘seminal species’ in a lower scale of size, on the **compton wavelength as a heavy quark particle, and the similar form of the halo of strange matter. this simple scheme, following Einstein’s search for cut off substances for black holes and Witten hypothesis of a halo made of strangelets, now again all the rage in astrophysics (but simply denied by the self-produced safety documents at CERN, who merely say ‘stranglets do not exist), is the most likely structure of galaxies, as it follows all the natural symmetries and efficient, economic laws of Nature (Ockham’s razor). The author has further developed in his work on the scalar fractal nature of the Universe ordered by a ‘5th dimension’ of relative scales, those concepts in his work on astrophysics.*

Now the previous graph with its ternary elements, the Halo-membrane of maximal extension in space, which leaves energy and information enter through a cyclical space-time region, the plane of stars, towards a centre of information, is the fundamental system of the Universe, already described by Descartes, who said all is made of res extensa (space), cyclical vortices of timespace and a central point of reference that measures reality or ‘mind’.

So indeed, all can be seen as we have observed in different graphs, such structure. So the galaxy (and the similar atom with its electronic cover, centred nucleus of mass, and intermediate space-time where forces of gravitation and electromagnetism are constantly exchanged) we have just described logically IS not only the fundamental particle of physics, but the fundamental entity of any biological, social system – the key to the unification and understanding of the Universe, as a whole and all its parts, self-centered entities of time-space that put together create the puzzle of the Universe.

The DNA invaginates with Golgi conducts the vital cytoplasm it exploits, surrounded by the faster membrane of proteins, which act in its formal position as a membrane. The magnetic field surrounds the charge and encloses the vital space of electromagnetic fields the charges controls. So happens with a planet protected by its magnetic field that steams out of the central charge and surrounds it. And the galaxy has in its center a black hole.

And it is surrounded by a halo of dense fast rotating strangelet quarks, so the stars and planets within it will become converted into black holes in Nova explosions or strangelets, when the Physicist, duly programmed to extinguish the species according to the Fermi paradox, busy-busy recreates the big bang on Earth (yes I know to be more popular, I should not remember you of this, so you can wonder on the halls of knowledge unaware of the entropic motions of the Universe, but as Mr. Descartes, the very unpopular frozen philosopher would put it ‘c’est la vie’, what is at stakes here, not only the stifled knowledge of the mind, granted if you keep on reading).

Thus ‘Lineal Space, Es’, energy means an expansive motion that ‘extends space’, a planar lineal motion that we see as static space, as dimensions of length and width, or as an explosive decelerating motion.

Now that we know the fundamental difference between ‘open space’ and cyclical time, we can move onto the second fundamental principle of ‘physical sciences’, the Principle of relativity. Again, here a mathematician Poincare defined it at the same time that Einstein, and on my view more clearly, when he said that ‘we cannot distinguish motion from stillness’. And this is enormously important.

Now, once we had the ‘solutions’ (Kerr black holes), the study of those holes was limited by the c-speed turning event horizons, which ‘absorbed’ the light of electromagnetic matter after exploding it, and ‘digested’ it via the weak force, creating heavier particles.

**NEUTRINO THEORY OF LIGHT**

The theoretical difficulty being the 2-spin prediction of quantum gravitational theories based in 2 assumptions not completely hold in 5D physics – the conservation of spin (which in 5D physics might be transformed in upper or lower forms of rotational momentum, conserved only through 3 planes of the 5^{th} dimension, as they become inverted in its emergence in upper planes), which allows to create a model of 2-spin neutrinos as gravitons or inversely the assumption that gravitons do NOT have 2 spin (or rather are made of 4 neutrinos, lineal strings of one dimension, which become the 4 component of a field that forms a complex doublet of spin ½ with the peculiarity observed that both neutrinos and antineutrinos have longitudinal polarization of positive spin.

The mathematics of the model are somewhat complex but essentially mean that neutrinos ARE VERY important, almost as multi-faceted as light space-time is – couldn’t be otherwise as they are the other 2^{nd} background space-time network of the galactic universe. So as nervous and blood systems do have multiple roles in your body neutrinos and photons share all the networks roles of the galaxy.

They do have therefore both boson and fermion ‘nature’ as the weak force they mediate.

This means that we can put neutrinos and antineutrinos together in and 4-doublets, as if they were bosons. Then:

– 2 gravitational tachyon neutrino strings, when put together in pairs of opposite direction form the up and down, particle and antiparticle sides of the magnetic light wave-field.

– When communicated between particles, the fixed distance in gravitational space that allows the sharing of information between the particles at fixed c-speed.

– When colliding with neutrons they catalyze the beta decay, as well as other weak force transformations, in a role similar to the one mediated by the Higgs boson on the top quark faster triplet of heavier quarks.

– When emitted massively and constantly by all type of cosmic bodies the origin of the 3 ‘G’ ‘giant electromagnetic waves’ of the gravitational scale, which form the different transversal wavelengths that order in ternary symmetries the structure of solar systems and galaxies.

Those transversal waves are the only of the many roles of the Neutrino ‘fantaphysics’ (: I confess neutrino gravitational string physics is the only speculative part of 5D Physics of which I have not yet by lack of evidence put my firm on blood), which we will discuss here.

Essentially there are 3 neutrinos which constantly oscillate as they abandon the cosmic bodies that constantly reproduce them in proportions often higher than the photon radiation, forming 3 basic type of gravitational transversal waves, whose combinations allow us to model galaxies and its spiral arms and rotary orbits of stars in the wells of those waves. The same neutrinos structure the lows of planetary waves, and so we can recognize clearly in ternary symmetries a 0.33 short wave of neutrinos of higher energy that crosses the planet crystal centers provoking the well-known Fe-Co-Ni chain of reactions that puts on ‘fire’ the internal energy engine of planets. A longer 5 A.U. wave exists also clearly as it allows to put on its nodes the main ‘Jupiter like planets’.

And finally there should be an even longer neutrino wave that will put in connection stars among them.

In the next graph we see the 3 oscillatory neutrino waves observed together coming out of the sun:

*Gravitational, transversal, fractal waves shape the structure of galaxies and solar systems, transferring form and Entropy between cosmological bodies, in a self-similar process to the transference of information and Entropy between atoms through electromagnetic waves. In the graph, Titius Law of distances between planets reflects their position in the nodal points of those transversal gravitational waves. In the core of planets, there could be a crystalline or super-fluid zone where those flows of dark, gravitational Entropy are processed, causing flows of heat and matter that make planets ‘grow’.*

*Below we observe the oscillations of neutrino waves.*

Now the 5D model of astrophysics, implies that there are also transversal repulsive gravitational waves, which do account for many of the structures of the Universe, starting by the expansion perceived in intergalactic space-time. This is just the expansion produced by any lineal electromagnetic wave of any range, now in the cosmic scale. Moreover, black holes produce two type of wave-shift that compensates each other and explains why the total space-time of the Universe remains constant:

- When a wave of light enters the black hole it ‘blue shifts’ imploding space into higher frequency/density of energy-mass. But this effect is NOT seen obviously from far away as it is the inner production of mass within the galaxy.
- When the wave leaves a black hole region it redshifts that explains the initial red shifting of light as it leaves the galaxy towards us

**Organic Patterns in the Galaxy. The why of G-waves.**

The closest homology of the 2 dual networks of the galaxy is with an atom in which the central nucleon with max. density of gravitational information and the external electronic membrane interact in a middle space-time vacuum through gravitational forces and electromagnetic photons.

Another self-similarity between scales of multiple space-times might be established in complex analysis between the galaxy and a simple ‘cellular’ organism, which introduces elements of complex biology in astronomy obviously more difficult to accept from a mechanist perspective).

Following the cellular or physiological homologies, the network of dark, informative matter and gravitational Entropy, connected to black holes, surrounds and controls the stars’ electromagnetic Entropy. We know that it was formed first and then guided the creation of electromagnetic Entropy, so we can observe it indirectly and deduce its form from the highly quantized shape of the filaments of light-galaxies that were formed around dark matter (right graph). Thus dark matter acts in a similar way to the RNA that shapes and controls the Golgi membranes of the cell or the nervous system that guides and builds the morphology of the body; while the network of stars and electromagnetic – the slower Entropy that produces the substances of galaxies – surrounds those strands of dark matter. In the cell’s homology ribosomes that create most products of the cell are pegged to those membranes.

We shall consider briefly here 2 of those controversial hypothesis: The possibility that black holes perceive gravitation and the chains of causality between the different scales of the Universe, self-similar to the chains of causality between cells and bodies.

– The most controversial element of a cosmological model based in G-waves is the existence of gravitational information that allows strange, neutron stars and black holes and maybe in the future evolved planets such as the Earth through its machine systems to perceive and move at will within a static field of gravitation.

On the Earth animals use light as information and dominate plants, which use it as Entropy. The hypothesis of complex cosmology is that stars are ‘gravitational plants’ that merely feed and curve gravitational space-time, while Worm Holes are ‘gravitational animals’, which are able to process gravitation as information and control and shape with gravitational waves the form of galaxies, their territorial space-time. They are in that sense extremely simple plants and animals. A more proper comparison would be with a cell, where the DNA molecules are the Worm Holes, the informative masses of physical space; and the mitochondria that produce energetic substances, the stars.

Thus frozen, quark stars could be ‘gravitational perceivers’ in the cosmological realm, as animals are light perceivers in the Earth’s crust and DNA perceives van der Waals forces in the cellular realm.

On the other hand stars would be plant-like, floating in the sea of gravitation, used as Entropy of their motion, feeding on interstellar gas, as planckton does, floating in the sea of water.

Do black holes perceive gravitation as complex animals perceive light, instinctively or mechanically, as DNA perceives the forces of the cell? They probably gauge gravitation in very simple ‘forms’, as a cellular DNA-system, much simpler than the brain of animals, perceives its territorial cell.

That is the supremacy of man in a relative universe were size is less important than form: While all systems process information, man is a summit of form and hence one of the most conscious species. Yet black holes have enough quark complexity to act/react to informative flows, as they seek Entropy to feed on – our electronic Entropy. This hypothesis has experimental proofs, since pulsars and black holes emit gravitational waves and we have observed many black holes following erratic paths through the galaxy, which defy the tidal, regular orbits of stars.

In that sense, multiple space times theory considers that in the same way light waves are the Entropy of plants and the information of animals, gravitational waves move stars and inform black holes, the most evolved celestial bodies, which emit or feed on the Entropy and information provided by those gravitational waves.

Further on, gravitational waves emitted by black holes might reproduce matter on the cores of stars and planets:

If those gravitational waves degenerate easily into quark matter as the jets of quasars show, they could also become converted into matter in the super fluid cores of stars and the crystalline centers of planets, in a process inverse to the Lorenz Transformations; since tachyons acquire more mass when they slow down, trapped by those superfluid and crystalline vortex.

Thus, as light is converted into Entropy in plants, stars and planets will create their ‘amino acids’, quark matter, in those processes. Thus, dark Entropy, tachyon strings would decelerate into c-speed gluons that would reproduce quarks; (as electromagnetic waves become photons and electrons).

There is also a mechanism by which those planets and stars ‘jump’ or change their spin position under the effect of gravitational waves, as electrons do under a magnetic field: the core of stars are made of super fluid helium and the core of planets of iron crystals, which are the only atoms that can absorb the Entropy of a gravito-magnetic field to change its motion.

Finally, all those events will have a ‘why’ in the 4 arrows of the organic Universe; since they would represent the feeding, matter reproduction, informative perception and social location within the galactic or planetary network of celestial bodies, equivalent to the 4 whys of the 4 quantum numbers, described before.

*Recap*. Gravitational waves accomplish the 6 arrows of time for celestial bodies, as the 4 quantum numbers describe those arrows for electrons.

**Intermediate Space. Gravitational Waves and Solar Systems.**

Now gravitons are massless just because it is considered to be a force with infinite range but this is not the case. The gravitation we study works within galaxies. Outside galaxies it should be the dark energy field, which is repulsive. So gravitons do not need to be massless in 5D. They might have the neutrino mass. It remains therefore to accommodate somehow the 2 rank tensor of gravitation, which determined 2 spin gravitons to convert them into ½ spin, as neutrino ½ spin seems to be proved. I will on the 4^{th} line, charged with mathematical physics adventure my solution, but at this stage, those are questions, which require far more serious maths than this 2^{nd} line can hold.

We thus will consider the following proposition: Gravitons are ½ spin, do not have infinite range – nothing does in 5D, ‘are’ neutrinos, create gravitational waves that communicate galaxies and maintain the structure of galaxies as single organisms, form the second background of the galaxy along the light background, representing the duality of any organic system, and originate when used as strings that connect two atoms in opposite directions a photon of light.

As I said the mathematical analysis goes to the 4^{th} line, but it cannot be otherwise within the organic structure of the galaxy.

The reader in that sense must understand how T.Œ works: any of the 4 analysis possible of an event – the mathematical, most detailed one – the mental and action oriented from the zero-point of view that survives, and apperceives automatically the Universe, seeking for energy and information, iteration and social evolution; the organic spatial one of 3 space-time elements communicated through the rules of ¬Æ geometry, and the temporal, causal of the 3±∆ planes of existence, ARE necessary to SATISFY and qualify a system, event or form as truth.

And vice versa, each of them can properly define an event. And so we give an o.25% of truth to a theory with a mathematical consistence, a 0.25% when such theory satisfies the organic paradigm, another 0.25% when it defines the 5 actions of a system and another 0.25% when it defines the 3±∆ ages of the system.

This of course will be contested for decades if no centuries till T.Œ is accepted if ever by mankind. It does not matter to me. The point here is that at this stage of ‘inflation’ on mathematical physics one can easily find a theory for everything. So the way this post is constructed is simple. Unlike the classic scholar of physics which have no intention to define organically, temporally and from the perspective of actions its systems, but merely will work out equations of physics, twist them (today not even coherence is required specially when dealing with the internal space of black holes the external dark energy and any other region not experimentally evident), and then seek for with expensive machines to find parallel Universes, muinos or whatever.

T.Œ does not work like that. What I do is to start with the organic structure of a system, then to define it in space as a simultaneous organic system, then in time through its 3±∆ges and then normally as a third stage to work out the mathematics of it, because they are closely related believe it or not with the 4^{th} element, which are the space-time actions of each ‘mental point of view’. So basically we work in 2 blocks: the spatial and temporal symmetry on one side, and the actions o space-time of the 0-point of view and its mathematical equations on the other side.

In this 2^{nd} line I will work out the space-time symmetry and refer to the mathematical and space-time actions and constants very briefly. We are making in this introduction an exception, for the sake of representing to the specialist the full concept of T.Œ, considering in more detail the Neutrino ‘affair’.

During the 1930s there was great interest in the neutrino theory of light and Pascual Jordan and Max Born, and others worked on the theory. We are here talking of 2 of the 6 foremost fathers of quantum theory. So it is not to be taken lighter (Jordan worked out the matrices of Heisenberg, as a better mathematician and Born the probabilistic theory of Bohr, which only give the idea). De Broglie and Fermi also worked it out, but there were some obvious problems to it. The one most often mentioned – that a photon is not a composite particle is silly. To start with is composed of a myriad of H-planktons and if we get to see it in detail it will grow as any fractal point to cosmic dimensions – to become a quasi-star of the string world.

Now this was understood first by Dirac, and with many of the ambivalences of quantum theory, only made reasonable with the 3 different perspectives of 5D physics (scale, space or time), as any point from an upper scale view is a fractal of populations (space view) or probabilities (time view). So we should choose the description that better fits a phenomena, as related the OBSERVER’S experiment and the OBSERVABLE through one of those different perspectives, all of which add truth to the analysis (but only all together describe the multiplicity of the universe):

Some time before the discovery of quantum mechanics people realized that the connection between light waves and photons must be of a statistical character. What they did not clearly realize, however, was that the wave function gives information about the probability of **one** photon being in a particular place and not the probable number of photons in that place. The importance of the distinction can be made clear in the following way. Suppose we have a beam of light consisting of a large number of photons split up into two components of equal intensity. On the assumption that the beam is connected with the probable number of photons in it, we should have half the total number going into each component.

If the two components are now made to interfere, we should require a photon in one component to be able to interfere with one in the other. Sometimes these two photons would have to annihilate one another and other times they would have to produce four photons. This would contradict the conservation of energy. The new theory, which connects the wave function with probabilities for one photon gets over the difficulty by making each photon go partly into each of the two components. Each photon then interferes only with itself. Interference between two different photons never occurs.

So indeed, photons do split into its h-plancktons as electrons do split into its photon cells, and so on. It is just the point of view we adopt. From our ∆o perspective obviously both electrons and photons are point particles but also waves smearing its components. The same with neutrinos. We see a neutrino ∆-3 beta decay as a single particle-point but we do see a neutron star ‘beta decay’ at ∆+1 as 10^{59} neutrinos rushing out.

So how we can manage all that? Through parameters which are ‘integrals’ of space or time quanta, such as energy. So we find that the proportion neutrino/quark mass-energy in beta decay is the same than the proportion of neutrino/star novae mass energy, a 10%, which incidentally is once more the decametric scale of 3 x 3 +0 elements of 5D theory.

(5D strictly speaking would be a 10 Dimensional theory of 3 spatial components, 3 time ages, 3 scales of size-time speed and a 0-point pegging it all together, but not to scare too much the ‘primitives’ I decided given the idolatry to Einstein and his 4D concept to call it 5D call the 3 dimensions of time, 3 ages, whereas 4D is the present age, and so on.

But if there was some respect for it, of course I would use the 10 Dimensional analysis which is much better for the full ¬Æ model, anyway that is how it was originally written 24 years ago; and so one can imagine if we are still here by 2140, some Chinese congress on 10D rewriting the whole thing on the proper 10 D formalism. In that sense 10D means 10 parameters to fully describe a system, which are 10 parameters in General relativity 10 parameters in string theory, 10 systems in physiology, 10 is then the number of the game).

We have so far settle down just for 10 isomorphisms.

Now that is clear that light is NOT a point particle but can be treated in many ways what the Neutrino theory of light means is merely the ‘feeding of light’ in its lower gravitational scale, the use of neutrino and then light by other particles, Fermion < Boson > Fermion to communicate and ultimately the beginning of a creation of a network between particles and or stars that ‘cements’ the internal structure of galaxies to make them ‘galacells’, not mere rotary systems with no connection between its parts.

The point more difficult is how to match the polarization which is different, and how to find a mechanism that makes 2 neutrinos to couple together into the photon, in ‘lineal fashion’ to avoid the problems of obtaining its Fermi statistics from Bose-Dirac ones.

Jordan’s hypothesis that the neutrinos are emitted in exactly the same direction eliminated the need for theorizing an unknown interaction, but his hypothesis seemed rather artificial and was ignored. However it is precisely because neutrinos are the first communication act between two particles, entangling them that this is in T.Œ a must. Jordan obtained exact Bose–Einstein commutation relations for the composite photon – a longitudinally polarized photon, as commutation relations for pairs of fermions were similar to those for bosons:

Bosons are defined as the particles that adhere to the commutation relations:

The difference is minimal – a mere ‘delta term’

Specifically the size of the deviations from pure Bose behavior, ∆ (p^{” }, p) depends on the degree of overlap of the fermion wave functions and the constraints of the Pauli exclusion principle. which is cancelled by a Raman effect in which a neutrino with momentum P+K is absorbed while another o with opposite spin and momentum K is emitted.

But again that is precisely what 5D T.Œ requires: a particle communicates with a second particle, which absorbs the neutrino and emits in the inverse direction a new one.

** **

**∆<|2|. SOCIAL SCALES IN BIOLOGICAL SYSTEMS**

We can find it in the cellular tissues of animals, as described by Miller, a pioneer of GST in his book Living Systems, in star formations, from binary stars to globular groups to galaxies with more than a billion stars, when the ‘DNA nuclei’ of black holes is formed and the ‘system of stars’ emerges as a single whole; to human and mechanical societies, to smaller ‘super organisms’ of ant, normally around a million elements, to even smaller military formations, mostly formed from the legio to Gengish Khan orders to modern armies around the 9+1 perfect tetraktys, the magic triangle of Pythagoras:

Let us then consider the study of those Social scales between ∆-scalar dimensions, which are analyzed in each ‘scientific scale’ in more detail.

This S10=∆+1 final scale though will continue growing from the birth of the ‘fetus’ into larger and larger beings, through 3 processes:

– Age growth through the ‘isomorphism’ of time ages, till reaching its plenitude in the Tad, adult age of maximal ‘activity’ and duration or steady state (the classic 4 Dimension studied by physics) in which the growth of the being reaches a maximal.

– And then through 3 relative ∆-scales of slow evolutionary time-growth, from microorganisms, to medium ‘superorganisms’ to macroorganisms.

Thus S9, gives then way to a full being which should evolve in search of further perfection. We prefer the terms, joined in single words, to differentiate them of the common use of science. So for example in the multicellular Life scale, there are:

- Microorganisms
- Insects (the superorganism scale), the dominant family of the Earth by numbers of individual and species.
- Chordates: Amphibia, Reptiles, Birds and Mammals, the macroorganism of maximal size, which came to dominate insects only when man ‘reached’ a higher ∆-scale of organization through its use of ‘metals’

**IV. SOCIAL SCALES IN HUMAN SYSTEMS.**

In the next graph we can see the case of mechanical societies, the economic system or world stock, which contrary to belief is not a human organism but joined by ‘chips’, and has already reached the ‘mark’ needed for ’emerging’ as a global mind, the internet:

We also consider the human super organism of history, a smaller super organism of human beings, not yet emerged as a global single being, but coming closer to the 10¹º human beings, in the global super organism: