QUANTUM, CYCLICAL Relativity
Quantum Relativity aplies the logic laws of Relativity to every quantic organism of the Universe and the logic laws of cyclical time to every classic relativity. In the first case, relativity means that every quantic space-time is diffeomorphic: it has different energetic and informative arrows that determine its   morphologies. Since each species will establish its own up and down arrows or relative energy and informative directions. In the graph, animals use light as information and plants, use light as energy. So both have opposite energy-time coordinates.

 

In the second case, since time is cyclical, quantum relativity aplies the Principle of equivalence between mass and energy to a cyclical vortex, defining a mass as an accelerated vortex, which implies that the faster vortex (the black hole turning at c speed) is the most massive object of the Universe. The cyclical principle of equivalence is the key to the grand unification of masses and forces...

1. What means Relativity: The diffeomorphic principle and the equation of the mind.
According to the Correspondence Principle, a new theory merely improves and clarifies the previous paradigm. Thus to be the new paradigm quantic space-time has to explain Relativity and solve the questions Einstein did not answer. We will try to accomplish those goals by:
- Considering Einstein’s work in terms of cyclical time.
- Evolving mathematical and logic languages in the path opened by Einstein, who introduced the concept of simultaneous time, breaking the sequential logic of Aristotle and introduced the curved geometry of Non-Euclidean spaces, breaking with the lineal, 3-dimensional Euclidean space.
- Thus we propose a Grand Unification Theory based in quantic space-time, a goal Einstein pursued during his last 30 years of research, but he couldn’t achieve because of his rejection of quantic space-time.The first of Einstein’s finding is the principle of Relativity itself, which physicists call also the diffeomorphic principle. Theory of Relativity establishes that in any point of the Universe the coordinates of temporal energy (the up and down, right or left directions) are different from those of any other point of the Universe and they only depend on what happens in that point of space/time. This is only possible if space/times are discontinuous. Then what happens in a point of space-time doesn't affect what happens in other isolated, discontinuous point.

However Einstein did not relate the diffeomorphic principle to the discontinuity of space-time and the uncertainty of mental information as those were ‘quantic principles’ he vehemently opposed.
In the graph we show 3 diffeomorphic beings: a galaxy with an inward arrow of gravitational information towards the black hole; a tree and a man, whose informative dimensions are inverted. Since plants use light as energy and animals use it as information. So the informative direction of animals is up, towards the Head that absorb visual information, opposite to the informative arrow of plants, which is down, towards the roots that absorb chemical information. In fact, both show most of their space-time parameters inverted , as often happens between energy victims (plants), and their ‘anti-forms’ or predators (animals). For example, a proton and an antiproton create a ‘form-antiform system’, since they have their charge and spin parameters inverted, and so they annihilate each other upon contact ; a wave and an antiwave cancel each other since they have their height dimension inverted, and so on.
Thus, there are infinite diffeomorphic graphs, quantic space/time fields that constantly adapt their organic, moving dimensions to the directions of their relative energy and temporal information.
So science constantly uses those perpendicular space-time systems of coordinates, which work both for an organism as the previous graphs or for an entire collection of similar species classified by their energy and information parameters. We showed one example in our graph of the 3 ages of existence of a being. Since diffeomorphic graphs can be used to observe both, the evolution of species in time and their morphology in space. For example, the H-R diagram is an S-T graph, which shows the evolution of stars along its 3 ages; while the atomic table distributes atomic species according to its spatial form (orbitals) and temporal information (the mass of their nuclei ). We could include among those S-T graphs, also Feynman’s diagrams with its perpendicular S-T coordinates. All those tables follow certain basic rules that explain the ages and spatial morphologies of its elements:
- In time any species will d=evolve in a dual diagonal wave along the S-T graphic, completing back and forth a space-time trajectory similar to the space-time graph of the 3±1 ages of existence in which it will first increase and then diminish its S-T content. Some incomplete tables such as the H-R star diagram show only the mature and old age of the star, hence it shows half of that wave .
- In space the S-T graph will structure all the different sub-species of a certain space-time field according to its energy and information content in parallel lines and files that form a Matrix. The SU3 group of Gauge Theory, the Heisenberg’s Matrix and the Table of elements are clear examples of those S-T systems. And we will be able to deduce the basic type of social structures those particles form, according to their relative equality shown in their S-T graph, since species with similar Space-Time forms create symbiotic structures. For example, if we consider the Table of elements, the simplest case we study here, life beings are symbiotic structures of 3 similar atoms, numbered 6, 7 and 8, carbon, nitrogen and oxygen, that are correlative in the Atomic table . So they create life organisms, according to the its space and time relative X-Y symmetries.

2. Einstein’s work in terms of cyclical time.
The principle of Conservation of Information completes the law of Conservation of Energy, creating together the 2 arrows of the Universe. It also ads to the principles of lineal inertia and continuity proper of an energetic, lineal field, the principles of cyclical inertia and quantization proper of any informative, temporal field. Only the interaction of those 2 arrows with its opposite, yet complementary properties creates real, curved 4-dimensional space-time fields that General Relativity studies. Thus, to adapt Relativity to Quantic Spaces-Times we ad the principle of cyclical inertia to the 3 main discoveries of Einstein in his study of space-time beings:
- The first discovery of Einstein’ Relativity is the so called ‘Equivalence Principle’, that states the homology between mass and acceleration:       Mass=acceleration.
According to Einstein, a being that accelerates is a being that acquires mass. For example, when you accelerate in a rocket or a car you feel a mass-force that throws you back. But Einstein defined acceleration as a lineal, continuous event, when according to the dual arrows of the Universe, it can be also a cyclical, discontinuous process. Since both cyclical movement and cyclical acceleration are natural, inertial. In fact, as Kepler and Cusa said, a lineal trajectory can be treated as a small interval of a big cycle. Thus, on one hand the cycles of atoms and stars, moving at constant speeds are eternal, inertial cyclical movements; while according to the Equivalence Principle, a mass becomes a cyclical, rotational, temporal, accelerated movement. A mass is not a fixed particle. Fixed forms are mental illusions; since everything real is quantic, temporal energy in perpetual movement. So a mass is, as Einstein put it, time that curves energy; or in static terms, a knot of temporal information that warps spatial extension into a vortex of form. Let us put 3 examples of the 3 relative scales of the Universe: the microscopic, human and cosmological scale:
 In Quantic Physics a mass depends on the Particle’s spin that is its angular, cyclical, rotating movement. Both concepts are now synonymous: a mass is a cyclical form that turns around, accelerating inwards
In a our scale of size, a mass is similar to a vortex defined in Mechanics as a cyclical, accelerated movement that ‘attracts’ energy, transforming it into a ‘height dimension’ of temporal information.
In the cosmological scale a mass is similar to a black hole, the central ‘vortex’ of a spiral galaxy that turns cyclically as the stars fall towards the inner black hole of maximum mass.
 That is why Einstein also defined a mass as a measurement of the curvature of space given by its ‘temporal mass-content’; while energy is the opposite state: a measurement of the distension of space, of fields of force that increases their linear extension. Thus, a mass is ‘a bidimensional, cyclical, temporal vortex of gravitation’ that creates at cosmological level the curvature of space. Therefore mass, information, space curvature and cyclical time are synonymous.
- So in physical space, time curves energy into form. A process that Einstein formalized in the space-time equations of his ‘General Relativity’, which explain in detail how temporal masses curve the spatial energy of vacuum, creating the ‘informative’ positive, evolutionary arrow of time:

G (curvature of a continuous field of space/time) = (8p g) x S energy x mass of the field.

Where G (S-T), is the space/time seen as a continuous form, with a certain temporal curvature and spatial extension. While in the other side, 8gp is a constant of proportionality and S e x m the perception of time/space as a discontinuous, quantic aggregation of energies and masses that create the curved geometry of the total space/time. So what Einstein says is that the continuous space/time, G(S-T), is equivalent to its discontinuous elements, its temporal masses and spatial energies. Therefore, by considering the space/time a continuous form in one side and a discontinuous sum of masses and energy quanta in the other side of the equation, Einstein demonstrates also the quantic nature of time and space, as a sum of masses and energies that our senses integrate into a single form. Since the previous equation is an equality, which means that space-time, truly ‘is’ the sum of energy quanta and temporal masses. Einstein’s only error was to be a ‘platonic idealist’, who preferred to  choose as ‘real’ the left side of that equation, the single space-time continuum, which was in fact the ‘linguistic, mathematical, mental’ image that simplifies the quantic reality. Since reality is the right side, the quantic pieces of time (masses) that curved the quantic actions of spatial energy discovered by Planck a few years before.
- Finally Einstein’s equation, E=Mc2, writes, using the Planck constants that measure his actions, as Energy=Mass. Yet since a mass is an implosive knot of gravitational information (static perception) or an accelerated cycle of time (dynamic perception) we write that equation as E<=>T(m), which becomes a particular case of the Quantic Spaces-Times equation, explaining the fact that ‘lineal waves of energetic radiation’ become ‘temporal vortices of gravitational mass’ in informative processes and vice versa in atomic explosions mass dissolves into energy. That is, energy becomes ‘trans-formed’ into a mass, a cyclical vortex of time and vice versa. Since, in as much as a mass is a mere cyclical form, when the cycle straightens itself into a line, in a micro interval of time, it suddenly becomes pure, expanding energy. Hence it is possible to describe atomic explosions and big-bang explosions as an inversion of pure cyclical movement, of ‘mass’, into lineal, explosive movement, into ‘energy’ that might happen truly in a microsecond. For example, the big bang becomes the explosion of a hyper-Mass vortex of minimal spatial radius, probably a hyper-black hole.

3. Attractive, implosive vortices transform energy into time.

A 3-dimensional, still nebulae, transforms through the gravitational force its form into a bidimensional vortex of mass, in which the still dimension of temporal ‘height’ becomes a temporal dimension of ordered rotating movement, which expels ‘energy’ in the form of angular momentum towards its border, imploding informative mass towards the center. The process, which is responsible of the creation of most cosmological objects, shows how the different transformations of the 4 dimensions of energy and information define most physical events of the Universe, which Einstein explained for a continuous, lineal Universe and we adapt to the multiple, discontinuous, quantic, Non-Euclidean worlds in which that Universe divides itself.

A vortex describes the properties of a mass, simplifying Einstein’s equations:
We equal a quantic, temporal vortex of gravitational information and a mass. And we describe the Universe as a flat plane of spatial energy born in the spatial big-bang, which ‘gravitational cycles of time’ called ‘masses’ curve. A mass is a bidimensional, accelerated, cyclical movement, anchored by its rotation around its center or singularity; a point that offers a resistance to any linear displacement of its position, proportional to the intensity of that rotational acceleration, which we perceive as weight. Since any mass vortex “sucks in”, like the vortex of a bathtub does, the spatial energy around it, compressing it into the dimension of height. A phenomenon, which is perceived as an attraction, as a gravitational force that eliminates spatial distance between 2 masses. A mass is like a hurricane that attracts anything towards its center and when it cycles faster, it attracts more energy-space, bringing closer 2 forms, which happens according to the well-known law of any vortex, Vo x Ro=K, when its radius, Ro, is minimal. The vortex formula says that the product of the speed and the radius of a vortex are constant, so the narrower, denser, more curved the vortex’ radius is (min. R), the faster and more accelerated it will move (max. V), to make that product, max. V x min. R, constant (=K). It is the black hole paradox: the smaller the mass is, the greater weight it has. So a nucleon or a cyclical black hole has maximum mass because it has the maximum curvature, the minimal radius and the highest angular momentum. The black hole weights more than the bigger star and the proton more than the spatially extended electron, since they are smaller masses, rotating faster as they create, like a hurricane does, a dimension of height. The classic representation of a black hole illustrates this fact. We know mathematically that a black hole changes its parameters of space into time. But only through the understanding of height as a dimension of time, we can fully relate the geometrical and algebraic process. Since a black hole has ∞ height, as a particle of pure time. While particles of minimum or null mass like the electron and the photon, have the minimum curvature and the maximum linearity.
Thus, in cyclical terms, the 3 fundamental findings of Einstein, ‘The Equivalence Principle’, ‘The Curvature of space-time’ and the Energy-Mass transformation, ‘E=Mc2’, prove the equivalence between mass and gravitational, temporal in-form-ation. Further on, they establish the main physical events as transformations of time forms, particles and vortices of cyclical movement, into spatial fields of forces and flows of linear movement and vice versa, according to the duality of space-time and The Principle of Conservation of Energy and Information. For example:
            - The energy wave/temporal particle’s dual event: All forms fluctuate between an extended, spatial form and an implosive, temporal form, a wave or a particle. A fact that is not an error of perception, as some physicists believe but an internal, natural feature of all physical entities that have an informative state and a spatial field/body. It’s the duality of charges and masses, knots of time Vs fields of forces they emit or absorb.
            - The duality and transformation between linear, spatial, explosive movements and cyclical, angular, implosive movements in time. Which are also complementary. So lineal electric flows create magnetic, cyclical fields and vice versa.

4. The determination of the mass of particles.

The consequences of the previous analysis of a mass that simplifies the equations of relativity by homology with a fluid vortex has been proved by the fact that inversely we can study a fluid vortex also with the equations of relativity that show the exact geometry of a fluid falling into a bath tub... As in fact, space-time is a fluid made of lineal and cyclical, space and time vortex. Again, the fact that the recent models of strings consider space-time a fluid of 2 type of strings, lineal strings (space quanta) and cyclical strings (gravitational quanta or spin-vortices of mass) proves once more that our model is sound. Let us consider now a numerical prove, which has been searched for the past 50 years by physicists with little success departing from lineal quantum theory. What is is termed as the Grand Unification Theory that should explain 3 facts we have easily explained in this web: why there are 3 familes and only 3 families of mass in the Universe (which are the 3 evolutive horizons of any organic system) and why the masses of its fundamental particles are what they are.

In quantum space-time, the leading theory of Relativity today at work, we study space-time as a fluid of strings, lineal flows of ‘space-time water’ that can also curl into spins, vortices of mass, of which the fundamental unit is a quark. 
Now the equations of general relativity can be used to describe a fluid vortex of any kind, even a fluid vortex of water like the one that appears in a tub, as they describe the exact geometry of any fluid vortex made of quantic particles. In the case of the tub, they study the molecular vortex of water and the sound phonons it makes. That vortex though can be studied with the rather more simple vortex equation of classic mechanics: VoRo=K.

And alternately, when we consider the space-time a quantum fluid vortex of electromagnetic quanta/strings and mass spins/quarks, we can either study it with the equations of relativity or the simpler equations of  a classic vortex...
As I presume the readers are not Relativity specialists and the 10 dimensional equations of relativity are fairly complex and only add detail to the classic study, we will use the simple VoRo=K case. In essence, both are homologous analysis as the study of the movements of planets by Copernicus, Ptolomei with his complex epicycles, Kepler and Newton are similar. Though the simplest are those who have the sounder logic and put the Earth turning around the sun. In this case the sounder logic is to consider the Principle of Equivalence between mass and curved acceleration, which means that a mass, is a region of accelerated space-time curved into a vortex.
The strongest prove on that homology is the fact that the mass of an object both in the macro scale and micro scale is related to the angular momentum or speed of rotation of the object. So we can consider an even more simple homology: the mass of a particle is equivalent to its angular momentum and hence to its rotational speed.
With that homology we can establish simple values and relationships for the fundamental masses of the Universe, considering them vortex regions of space-time.
Now, the Universe we live in is fruit of the explosion of a particle called the down quark which divides in 2 new particles, the up quark which is a very  fast vortex extended in a very small space, Min. Ro x Max. Vo =K  and the electron which is a vortex with max. space and minimal vortex speed, Max. Ro x  Min. Vo= K.
And it turns out that the electron has 10 times less vortex speed that the up quark and exactly 10 times less mass, proving the equivalence between angular momentum and mass.
Indeed we know the speed of the electron, which is 30.000 km./s, that is, a 10th of the speed of light, c/10. We hint that the quark has a rotational speed equal to that of light, c, and hence the same that a black hole, which rotates at c speed and seems to be a super fluid of quarks. This also is in agreement with the decametric structure of the Universe.  So we can substitute and do some high school maths:

Down Quark (10 Mev)  = Up quark   (5 Mev) x Electron (0.5 Mev).

Thus it is obvious that the down quark splits in 2 equal particles in terms of mass-energy, one is the up quark, which trades his space (Ro) for an increasing of rotational speed=mass (v=C), and the other is the electron which trades its mass=rotational speed for his angular momentum (V=c/10), and both together shape an atom which holds the fundamental law of balance of the Universe E (the electron or energetic body of the atom) = Ti (the up quark or fundamental mass of the atom)…

But wait a minute, in an atom there are 3 quarks… not one. It is that truth? No, when we consider that the quark is faster and hence we are not seeing as electronic beings 3 quarks but a quark in rapid succession, 3 quarks fast in time that at our speed of perception appear as one. It is like seeing a fast car moving in a road, we see a line, like if there were several quarks in a row. So what really the nucleon is a very fast quark mutating states, each one with a -1/3 or a +2/3 charge. This perception of the quarks as a temporal series, not a spatial structure explains of course why we don’t see them, as there are only one, why we see only a fractional charge, as we have to add up the 3 of them, and then it is not fractional but 1, and finally why quarks are so powerful, as they are much faster than electrons.

But the simple mass relationships that quantum relativity prove go further. Because when we go into the next evolved mass particle, the strange quark, it turns out that it also holds a very simple decametric relationship The strange quark waits around 100 Mev very close to the weight that its heavy electron the muon has (105 Mev), with again a decametric jump respect to the down quark. Thus we conclude again that the strange quark is either a  vortex with Vo=10c  and hence a micro-black hole in its own, or a bosonic state of down quarks with 10 piled up… The next quark the charm quark weights 1.5 Gev and splits into strange quarks and muons and so again it holds a simple decametric scale… With a few adjustments for ‘wasted radiation=energy’ that appears in those reactions in the form of gravitational neutirinos and electromagnetic radiation and the different dimensions of mass which is tridimensional respect to a vortex (since our analysis is a simplifying one for a bidimensional vortex, VoRo=K), it is easy to obtain the different masses of particles, which physicists call the Grand Unification Theory…

I leave to the reader to do the calculus  if so he wish: he should quantize those masses, calculate the different rotational speeds and dimensions of those particles (as different particles extend in different dimensions and we have only studied in this paragraph the simplest, most perfect bidimensional vortex) and then he will find they match those masses. Now those other particles do not have perfect numbers in their masses, because they are irregular vortices, and hence as comets in the solar system, mutations in biology with deformed shapes, they don’t survive in the Darwinian Universe. Indeed, their existence as resonance that lives very short is a clear prove that the Universe is both geometrical, mathematical in its ExT formal harmonies and biological in the selection in time of only the most efficient species.

5. Conclusion. The Non-Euclidean, structure of space-time fields. Special Relativity and light space.
The mind sets the limits of our perception. Though many people have a hard time accepting that discontinuity between reality and our mind, in a quantic Universe it is an unavoidable truth: We exist in the electronic mind that perceives the Universe with 2 languages, spatial mathematics and verbal worlds. Thus to improve our knowledge of reality we need to evolve the languages of the mind. So Einstein evolved the Non-Euclidean geometry used to describe space, which Quantic Spaces-Times theory will take to its final consequences. If Einstein affirmed that the Universe had a curved Geometry unlike the Euclidean, lineal geometry we have inherited from the Greeks. Thus he used Riemann’s Non-Euclidean Geometry to describe the Universal Space-Time. Yet he did not accept the underlying quanticnature of Riemann’s geometries which described ‘empirical, real space-times’ as a series of ‘quantic points’ that represented ‘real entities’ moving in ‘cyclical paths’. So Riemann affirmed that there were infinite space-times made of ‘cellular species’ that moved together in social cycles when they were equal, with a degree of proximity based in those ‘common properties’, creating relative ‘quantic dimensions or networks’ of a certain space-time. And he put the example of photons that created ‘light-space’ as they gather according to their common frequency in colors. Indeed light is the relative space our eyes perceive. And it is made of quantic points with a certain volume called photons. Those photons prove that the continuous mathematical plane of mental space is a simplification of a luminous space made of discontinuous packages of quantic energy or actions, which move, change their form and associate in organic groups called photons. The space that we perceive is light as some impressionist painters showed in pictures done with light points that imitated photons. Which explains the other great discovery of Einstein’s Special Relativity: the fact that light speed is constant regardless of the observer, precisely because the space we see is ‘light-space’, the absolute frame of reference of our mind .
 In Quantic Spaces-Times we take to its final consequences those concepts of Non-Euclidean Geometry by re-defining also the 1st, 2nd, 3rd and 4th postulate of Euclidean geometries to adapt them to Riemann’s concepts of a moving, cyclical series of quantic space-times joined by dimensional networks, to describe all kind of real space-times fields, from biological, cellular space-times systems, to molecular networks, to the entire Universe.

Yet the most interesting change of quantum relativity is the interpretation of the 5th postulate, the only one Einstein changed in terms of relative space-time.

The equation of a world-mind.

Indeed to notice that quantum relativity also implies that the perception of any other area of the Universe by any informative system is relative, deformed by the transformation and selection of information that passes through those discontinuities (Uncertainty Principles). Beings are self-centered, selfish, because they perceive from the perspective of their minds and see nothing beyond. You see your mind, an electronic field that represents the Universe. Yet beings think the limited local, discontinuous, mental space-time they perceive through ‘mental languages’ is actually the total real Universe, in which they appear as a relative center. So human believed for most of history that they and the Earth were the center of the Universe since we see the Earth quiet in the center of our world, which is not however the Universe but a very small, linguistic image of that Universe which occupies in fact a few neurons of our brain. Thus we write the equation of any Mind as:

0 (The singularity of the mind) x ¥ (The Universe)= K (a fixed, mental, constant World)