• SINGULARITIES: INFORMATION VORTICES OF FUTURETIMES
In the graph, a fundamental truth of the Universe is the existence of singularities that order physical, biological an social systems, except when they are in a free, chaotic state of maximal entropy (gaseous state or dark entropy between galaxies), which cannot produce order, as they lack any ‘frame of reference’.
Mental singularities, Monads, or Maxwellian Demons are the ‘missing variable’ needed to explain the whys of reality. In mathematics we call them P.o.vs. Frames of reference, selfcentred in a point, which we use as physical systems do, functions of spacetime. In that sense physical, atomic systems do indeed calculate as quantumbit computers might do. Are they ‘conscious’? Likely, as consciousness is just a selfreflection between two mirrors. In the human case, the I=eye that sees space and the verbal cogito ergo sum temporal mind – the conscious languages. But it is not the verbal consciousness of man, but a mathematical consciousness which among humans only a very intense ‘mathematical physicists’, which can ‘see’ as musicians see ‘scales’ that provoke emotions, equations as dynamic visual forms.
What would then be this kind of consciousness? Likely a sense of proportion, symmetry, balance and beauty. It does NOT matter in any case the ultimate inner sensations of physical matter, but the outer description of the actions of those singularities, which do order and reflect a mathematical organization around them, when in its solid crystal state they act with the program of existence, reproducing the information of that minimalist mind image. Indeed, a crystal grows with a symmetry which its inner image reflects back in the growth of ‘crystal cells’. And that is called reproduction, the objective definition of life, of a whole being in the fractal Universe.
Time passes only when it accelerates, as the inertia of repetitive, reproductive, present time doesnt seem to pass, this is an essential knowledge so time is always a vortex of acceleration and as such the words time=charge (quantum time) = temperature (energyhuman inner time) =mass (gravitational timeacceleration are the same concepts). This is perhaps the biggest discovery of GST:
In the graph, time is truly beautiful in its three arrows when we ad the psychological everyday dimension of inner perception of man of those three arrows. Time doesn’t pass when reproduction occurs, which gives the orgasmic feeling of immortality proper of all re=productive actions of the eternal fractal. Time does pass when the system evolves in time as it accelerates, and so time passes also in nature’s clocks, quantum charges and masses and any physical vortex of the kind, V(t) x R(s) = K(st), the equation of the vortex – a time equation of 5D metric, as time we conclude PASSES, MOVING UP AND DOWN 5 D Scales.
As time is acceleration and acceleration is form of wholes, we conclude the time arrow of acceleration is in the fifth dimension so time only evolves through motions in the fifth dimension and this opens further the complete fully grasping of the essential nature of time sequential order.
The informative arrows of time properly translated into an accelerated ‘vortex of time’ in our scales of the Universe (energy functions, hƒ in the quantum scale, kT in the thermodynamic scale, mv in the gravitational ∆1 scale) become masses, temperatures and angular planck constants are time flows which leave a trace in space, as each cycle persists a given dynamic timespace of existence.
Time only passes towards the ‘future’ when things change, and change in the sense of a growth of information. THIS FOLLOWS immediately of our definition of the three arrows of time. In biology it means to get older, and grow your information faster than your energy, once passes the first age of entropy, after your seed of information emerges in the upper scale, ∆+1 of you world cycle of existence.
In physical systems it means that time clocks accelerate towards the future, as they shrink in size and increase its attractive force (of all ∆+§). We can then understand the constant emergence of ‘new clocks of time’, of the three specific arrows (hence lineal time clocks, wavelike time clocks and curved, vortexlike time clocks towards the future). How can we trace this ‘evolution of timespace clocks of physical systems on its three arrows?
The study on how those first time clocks of the gravitational dark space and entropy (the limit of perception in the lower scales) evolve through all the scales of existence to become vortices of black holes (the limit of perception of the upper scales) could be considered the meaning of physics in GST, and in the process it follows the same laws and Disomorphisms of all other species.
DASEIN

We have so far considered the Universe in its fundamental principles – the topological adjacent construction in simultaneity of super organisms, which sequentially will live a world cycle, ‘traveling’ through 3 planes of the fifth dimension. Neat and simple, that is really what there is to it. Minds though, mirror those infinite worldcycles of existence of other spacetime super organisms with languages ‘stopping’ them into a mapping that allows them to ‘perceive=gauge=sense‘ information.
And we highlight sense because a ‘still mapping’ sense in each stopping, locked ‘crystal image’ a measure of its self. The sentient Universe can only be ultimately explained if ‘perception’ exists within the language, as when you think words, you sense words, when your eye sees light and maps into an electronic mapping you are seeing. And when an atom maps a geometric image in its ‘locked’ ‘stopped’ spin, it must perceive that geometry as information.
Minds thus are infinitesimal pointsparticles that stop, gauge, perceive, and move – and then we have the sensation of motionpleasure.
This of course is not within the realm of the scientific method. You cannot measure those sensations of awarenesspain vs. pleasuredissolution, information, pressure vs. releaseentropy ONLY sense them as humans. So if we had first a difficult hurdle to cross trying to prove the existence of minds but passed it objectively by considering a mindsingularity to hold the will of existence of a T.œ – hence as invisible gravitation shows in its external effect, so will the existence of a singularity through its external actions; at the final level of ‘human awareness’ of the game of existence – sensations of the dual painpleasure reward system (with all its parallel and perpendicular events/sensations) there is ONLY a justification to the existence of other minds – that we humans are made of the same substances that all those other minds, space and time, and hence what we sense other atomic systems must.
Therefore IF OUR LAST REWARD is the flow of sensations, with its duality painpleasure, hatelove, etc. which we can easily adscribe to geometrical perpendicular (cut, pain) parallel (friction pleasure) properties and many other dualities we have established for all systems, IT MUST EXIST IN ALL OTHER SYSTEMS of spacetime. That is, atoms must feel pain when oppressed by huge masses, pleasure when released in entropy, but also ‘awareness’ of a more complex inner still image, when flows of information converge through forces in its noneuclidean singularity; and so it is only left then 2 questions:
 What are those sensations? Answer: the very essence of time as a motion/flow. Motion in itself seems evanescent; as sensations are… Yet combining them, this flow of sensationmotion becomes very likely the ultimate programwill for all T.œs to exist – the ultimate, ‘Dasein’, ‘being in time’.
 Yet we cannot go beyond this, as this is the ultimate ‘reference’ of reality we have as humans. So there is no MORE methods of knowledge beyond what it is contained in our ‘selves’. Know yourself, the method of knowledge of Aristotle; ‘saper vedere’, the method of Leonardo and know how to see and calculate with attached machines, the method of Galileo, to which we have added a few ‘tricks’ thus completes the capacity to probe reality. Are there more layers beyond motion as sensation in time? We cannot answer. We don’t know. As all is relative, in the same manner we can only probe into ∆±3 planes around our ∆º and hint by force of motion the existence of an invisible gravitational/cosmological plane at ∆±4 but no more, beyond the duality of sensation, there is nowhere else to go.
SINGULARITIES IN PHYSICAL SYSTEMS: WORMHOLES BETWEEN ∆ SCALES.
The limit of dimensional form is for a given ∆scale are the 3+3 symmetric dimensions of spacetime of any topological being in existence. So the wave that moves in a present scale will have less ∆dimensions that the vortex, regardless of its similar number of spacetime symmetries in a single plane. And in that single plane, as the vortex accelerates inwards, it will also have one more dimension of motiontime, acceleration, over the steady state, constant speed of the wave.
Thus the real magic of time vortices is to act as bridges between scales of the fifth dimension, and as such they are the most fascinating objects of physical systems.
And so the informative, particle/head of a system, is the part with more dimensional form, which for most physical systems will be a vortex that has as a cyclical form with more dimensions than the entropic line. As the vortex is accelerated, it will also ad a time dimension to the constant wave:
In the graph, singularities of charges, fluid vortices and masses, are future accelerated states of the different scales of spacetime of the Universe. We shall be able to unify them with a simple fractal Unification equation, as they are all vortices of time, whose only difference is the ‘scale’ of size and ‘speed of its time clocks’, unified by 5D metric: Spe x tiƒ= K.
Now the paradox of those vortices which we claim to have more dimensions than waves and fields that seem to us far more extended is the fact that from our point of view, which does NOT see the lower scales of the quantum systems, as they are outside our maximal range of informative perception ∆±3), seem just pointparticles without any dimensionality at all. On the contrary they ARE systems which ‘penetrate’ as ‘wormholes’ through the different scales of the fifth dimension.
They are the elements that communicate those scales through cut offs of discontinuity, studied latter in great detail, in which our parameters of ‘distance’ (rods of lineal motion), time frequency and energy, which combine both ‘change’. So while in the graph, the 3 vortices are accelerated≈future dimensions of timeclocks; the parameters we use will change.
Motions have different ways to perceive them. Smaller regions might hold higher densities, as larger evanescent bubbles might be only the external membrane of the wholeness. As we enter the particlehead states of maximal density however speed accelerates as we decrease size and the being increases its existential tempo.
In the graph, 3 representations, the classic one as a sink is NOT real, the second one is a real picture – a charges as a vortex of time, the 3rd one, is a fractal picture of a hurricane. So mass is a vortexclock of information, evident in a simple fusion of two equations; E=hƒ + E=mc² M=ƒ(K).
So mass is a vortex of time of the larger cosmological scale and a charge of a lower scale. But since smaller clocks run faster, as faster vortices attract more, charges are paradoxically stronger forces of attraction that cosmic gravitational scales.
The physical Universe is made of those three arrows of time as any other system of reality, which we must define for its three fundamental scales, as physical systems are also part of an organic, fractal reality of relative scales of size and ðime clocks that coexist together into the 5th dimension of scalar ðime§pace. In the next graphs we see the general model of 5D scales of §pace and 3 ages of ðime, and its application to physical systems – which will thereafter be upgraded with the new model of relational §paceðime:
In the graph, an example of the power of the new formalism: We will be able to find using the metric of 5D the saint grail of physics, the unification equation of charges and masses, which are just future informative accelerated vortices of time in the quantum and gravitational scale (principle of equivalence between gravitational forces and acceleration by Einstein). So mass attracts as a hurricane does in our thermodynamic scale, the faster the frequency of its cycles: m=ƒ (h/c²). So the mass of a vortex is proportional to the frequency of its accelerated cycles.
EQUIVALENCE BETWEEN ATOMS AND GALACELLS: UNIFICATION EQUATION
Unification equation: simpler mathematical formalism.
We shall only so how the power of 5D³ by finding the unification equation of charges and masses (general relativity) and upgrading worldlines to worldcycles (special relativity), as we have already dealt with the constancy of light speed (entanglement of electrons which emit information in relative stillness to each other).
GENERAL RELATIVITY REVIS(IT)ED: UNIFICATION EQUATION OF MASSES AND CHARGES.
Future, time arrows in physics are cyclical vortices of gravitation or charge or thermodynamic eddies, with a singularity of zeromotion in its center, which we do observe in thermodynamic vortices as we cannot ‘see’ inside a quark or top quark star (black hole). It is the arrow of future, as it is an attractive arrow that forms lineal entropic fields into form and will be the ‘final destiny’ of the quanta of an entropic field. We shall study for the three main scales of the supœrganism of the galaxy, which is the main physical system in which humans exist as its thermodynamic level.
Whereas the Universal Constants (G, Q), define the curvature of 2 spacetime vortices at the ∆1 quantum charge and ∆+1 cosmic mass scales. Its formalism, M= ω^{2}r^{3}/U.C.(G,Q) is its Unification Equation.
Since if we substitute for the Earthsun system we obtain G, (1^{st} ever theoretical deduction) and if we substitute for the Bohr Radius and Proton Mass, we obtain Q with a 10^{40} higher curvature value, the exact difference between both forces that solves its hierarchy problem.
As curvature in space is symmetric to rotational speed in time, symmetric to the attractive force of any vortex. It also proves the isomorphism between electromagnetic atoms and galaxies, Hatoms of the cosmic scale. Since when we translate electromagnetic equation into gravitational mass vortices, the proton radius becomes the Schwarzschild radius of a black hole and electronic orbitals star clouds, a result foreseen by Relativity that modeled galaxies as Hydrogen atoms in the EinsteinWalker Metric of the Cosmos. Organicism gives the ‘why’ of Galacells that have DNA + Top Quark proton holes, star mitochondria that feed them & strangelet halos.
This simple Newtonian equation, however, in the fractal paradigm, should apply to any scale of the Universe, able to describe any vortex of spacetime by merely changing the value of the universal constant UC (G), but that of the Universal Constant of any other scale. In the case of the microcosmic scale of electromagnetism, the Universal Constant of charge (Ke). Thus, we obtain the fractal equation of any vortex of time:
Universal constant of a spacetime vortex, U (g, k) = w (angular speed)^{2} × radius^{3}/ mass
If this is truth and the Universe is indeed a fractal of several scales, it means that the previous equation will be able to describe both, not only a gravitational vortex of spacetime in the cosmological scale with the universal constant G, but also a charge as a quantum vortex of spacetime with the universal constant k, the constant of Coulomb.
And so we have an essential equivalence between K and G for the two ‘enclosure’ ∆±1 scales of human existence, the quantum faster, stronger attractive curvature=speed of the electromagnetic vortex and the slower GVORTEX, which allow us to unify as we did previously both fields. And translate the somewhat dull language of electromagnetism to that simpler of gravitation, showing some fascinating results, such as the proton showing the schwartzschild radius, Rg = 2GM/c² equation of a black hole in the larger scale when put on gravitational jargon.
Let us go into the task, of putting some numbers to the conceptual model, completing Einstein’s work with its long seeked…
Let us then substitute the parameters for the values of the sun (mass) minus earth (rotational speed and radius) to get G. The approximate values are as follows:
Sun mass = 2 × 10^{30} kg; Earth’s angular velocity 2 × 10^{7 }rad. per sec.
Earth’s orbit = 150 million kms.
Result: G=6.67 × 10 ^{11} kg1 m^{3} rad. sec.^{2}
This is standard gravitational theory. What has never been done, because the fractal paradigm was not known till recently, is to substitute in the same equation of gravitational cosmological masses the mass radius and speed of the spacetime vortex by the values of the fundamental quantum spacetime vortex, a hydrogen atom/charge.
If the thesis of a fractal universe made of hierarchical scales is truth, then those values should give us the value of the universal constant of charges, the Coulomb constant.
Indeed, if we substitute for the proton (mass) and the Bohr electronic orbital (speed and radius)
4 × 10^{16 }rad. sec.^{ 1 }= w (electron);
5.3 × 10^{11 }m. (Bohr radius);
proton mass = 1.6 × 10 ^{27} kg.
Then we get a G, which is 2×10^{39 }stronger than the gravitational radius; thus, the hydrogen atom behaves as a selfsimilar fractal scale in the quantum world to a solar system.
And then you can get also the electron radius expressed in the jargon of a quantum gravitational world using the translated ‘Gravitational Coulomb constant’: G(k)M/c^{2}.
But since in that expression M is the mass of a proton, G(k), the electromagnetic constant as a gravitational constant, and c, the speed of light, that expression is exactly the Schwarzschild radius of a quantum black hole.
Thus, the electron Bohr radius, which is the final radius of minimal size and energy in electrons, is the event horizon of a black hole in the quantum gravitational world.
To notice those results, the first theoretical deduction of Ke departing from G and the enormous simplification of the parameters of the electron radius till arriving to the same expression that a black hole radius cannot be by chance. They are mathematical deductions, one of the three standard forms of proof in science.
Yet a theoretical calculus of those values cannot be exact ‘by chance’, unless the theoretical model behind it – the fractal selsimilar structure as Sp x Tƒ entities of all physical systems is right. Thus, the previous calculus is a clear proof that both, charges and masses, are unified as values of the same type of spacetime vortices in the 2 different scales of spacetime of the Universe. And they are geometrically unified from the p.o.v. of geometrical relativity not from quantum theory, as Einstein wanted it. Thus, the Unification equation in terms of Newtonian mechanics is simple:
For a century, quantum cosmology has tried to obtain this unification, departing from quantum laws. Yet it can be obtained, departing from the gravitational equations of a vortex of spacetime. Coulomb already hints at this fact when he decided to use a selfsimilar formula to that of Newton to describe a charge. What Einstein did was to refine those measures with the concept of simultaneous, present time and the use of the nonEuclidean Ricci tensor/flow, which is a more sophisticated, detailed picture of that curved vortex of spacetime.
He, we might say, applied a mathematical method that allows to take a series of still photographs of the vortex with enormous accuracy, but the complexity of his calculus hid the unification equation for a century. So it is evident that we are observing the same geometric vortex at different scales, explained with two different historic jargons.
So indeed, the Universe is a fractal of spacetime, with two selfsimilar membranes. This opens an entire new field of physics, not quantum gravity, the description of cosmology with quantum laws, which is proved false, but fractal relativity, the description of the quantum world as a selfsimilar membrane to that of the cosmological world.
What about the other 2 forces? The similarity between the strong force and the gravitational force ‘inside the atomgalaxy’, both attractive ‘only’ and the outer force of the galaxy (repulsive gravitation aka dark energy) and the outer force of the atom (electromagnetic repulsive expansive forces) is then immediate on the ‘simpler models’, as it is the parallelism between magnetism and gravitomagnetism (Heaviside’s discovery). And many other results follow. Further on, the hierarchy between those forces is also immediate. Well not so immediate, it requires…
The 2 fundamental scalar vortices of time: Charges and Masses.
Let us then deduce from the previous metric, the main equations of the different worldplane constants, starting for the best known, remembering that T=1/Tƒ:
F= GmM/L² = ma
a = GM/L² GM = L³ xTƒ² where G is the constant and M the ∆scalar magnitude, Tƒ², the dimension of cyclical time (angular acceleration) and L³ the dimension of volume.
The same equation, substituting G for Q and M for charge, as we show in the Unification Equation of charges and masses gives us the value of a charge as an ∆scalar magnitude, when we use the Bohr model to calculate the attractive charge of the first spherical Sorbital of an electron (obviously the complexity of noncircular electronic orbitals defy this simple calculus).
Thus both M and E are the scalar magnitudes of the two upper and lower limiting worldplanes of human existence, as accelerated vortices, the ‘active magnitudes’ of those 2 fields.
How does a vortex of charge and mass becomes constructed geometrically? We must understand that all systems tend to curve a Motion into a cyclical, finally accelerating inwards vortex: >Ø>o. Those 3 phases of a motion will give birth to a ‘ternary structure’, the commonest of the Universe and its simplest ones are those of nature:
In the graph we can see the 3 relative topologies: as a Motion curves into a field, it moves inward accelerating, till it reaches the zero point, in which it will often will split its ‘formal’ and ‘energetic content:
On one side it will slow down and be perceived as a stop mapping, in the central zero point, on the other side it will be deflected and change its dimensional direction upward as a hyperbolic tube that becomes finally a lineal flow. In physical fields, the simplest systems, it means we will find a field, which will accelerate inwards (gravitational, charge field) and then it will create a ‘less energetic’ upwardsdownwards ‘gravitomagnetic’ field, completing the 3 ‘topological membranes’ of a whole system.
This field will basically have the 3 components and write with the generic equation of all fields:
F= A x E, where F is the force, A the active magnitude (Charge, mass) and E the vectorial structure of the field.
A proof of the ∞ ∆scalar nature of spacetime, composed of isomorphic lineal forces of ‘spatial energy’ and cyclic, clocktime vortices of ‘informative time’, charges in the ∆1 quantum scale, and masses in the ∆+1 cosmic scale are the recently found ”excited Sorbitals’ of the Milky Way: 2 bubbles of electromagnetic energy with the same form that ∆1 atomic orbitals have in its excited states. The Metric of its isomorphism is the Unification Equation of Charges & Masses and its U. Constants (Q.G.).
So mass is a gravitational vortex of frequency, moving with the quanta of light speed, which becomes then (Paradox of Galileo) also the quanta of spacedistance of the galactic scale – the limit of the spatial capacity to move=reproduce information in Galactic space.
How does really one scale transforms into the other requires to understand the different ways in which discontinuous timecycles connect to each other and transfer through those knotsconnections their angular momentum.
In essence though the idea is still as simple as a russian doll encasing and absorbing the motions of a smaller membranerussian doll that becomes ‘muted’ by that larger encasing that absorbs its motion. The new scales of ‘membranousclosed’ wholes do therefore get their kicks of the enclosed vital space, and can at the same time act in the ∆+1 world outside their ∆o1 particle<wave system.
THUS THE CONSTANT OF THE gravitational world is cc, a bidimensional sheet of light energy, which is measured here in entropic quantities, where mass is the frequency vortex measured as particle that will ‘vomit’ all its ccs.
Cc then is better understood through Maxwell equation as the inverse of µ x ε, the magnetic and electric constant, which become then the ‘split’ two constant exist¡ential units of both fields in an even smaller scale of exi∂st¡ence
But in all of them we shall find three arrows of timespace with its form and function, topological and biological organic description of phenomena, which when plugged into ‘vital ¬Æ mathematics further reveals many details and beautiful, darwinian process among the quanta of spaceenergy (whole being measured in instantaneous space as an energy amount, in detail as a ternary topology with a finite time and space size connected by the 5D metric of the being).
The rashomon effect: how to unify multiple views of the same phenomena
WE said that languages are inflationary, so there are multiple perspectives of any formalism of mathematical physics. They will respond mostly to the four essential components aforementioned – a wave, field, particle and scalar perspective, with some ad ons, such as relativity to account for mental distortions often in the ‘lorentzian’ regions between planes scales that become deformed in its parameters.
Let us illustrate the case with the most studied of them – the gravitational force, already mentioned.
Einstein’s Equivalence: Bidimensional mass. Dimensions of gravitational spacetime.
In the graph the 4 obvious descriptions of mathematical physics regarding gravitation: iƒ (relativity)≈ Ti (newton) <> Se (Poisson)≈ Sp (Lagrange):
iƒ relativity is a still formal, informative, description in ‘present’ of the gravitational spacetime)
Ti Newton is a moving vortex of Time, less detailed and more dynamic.
SePoisson is a potential static field of entropic motions, with a gradientdirection.
Sp HamiltonianLagrangian is a dynamic description of the conservative energy of the system.
“I want to know God’s thoughts . . . the rest are details.”, said Einstein. Yet those thoughts are logic principles, the details are mathematical equations, which evolve with new developments in calculus, while the principles stay.
So in pure geometric terms the orbital vortices are accelerated timeclocks of gravitational forces with a gradient, that implies an elliptic conic that drags a field of invisivible max. Spe motion, defined by a curvaturespeed, which can be explained analytically in terms of motion vortices (Newton>Poison) or curvaturedistances, sliced in instantaneous, simultaneous moments (Einstein).
In that sense, it is a common mistake of Pythagorean physicists who believe God speaks only mathematics to consider that Einstein’s work on general relativity is unrelated to Newton because he uses different mathematics. Thus, Pythagorean physicists, who consider mathematics the only language of reality, think that Einstein explains a completely different view of the Universe, which invalidates totally Newton’s work. This view is wrong and leaves unexplained the very obvious fact that Newton’s description of gravitational forces works so well that it was considered an absolute truth till the twentieth century and is still used for most calculus of forces on Earth because both are based on the same logic principle of equivalence, which in the hierarchy of science dominates over the different detailed mathematical descriptions of it.
Moreover, it is known to the historian of physics that Newton’s equations were evolved by Poisson and Poisson was the departing point of Einstein, which is the departing point of fractal relativity, the twentyfirstcentury version sketched in this book. Yet the principle of equivalence between accelerations and masses is not the departing point of Higgs and Hawking’s entropic black holes, which deny Einstein’s principles, and so regardless of their mathematical complexity, they are wrong because their logic principles are false.
So we must consider a different view on the evolution of gravitational theory. Newton, Poisson, and Einstein’s theories are right because they describe the same logic principle of equivalence, with the best mathematical models available to each age. And since logic is in the hierarchy of the scientific method, superior to mathematics, from where it derives—as Gödel, Russell, and Frege proved, deducing the laws of mathematics from those of logic—what matters is to understand the logic principles of the Universe, which will then be described “in higher detail” with each new paradigm of mathematics. What this means is that as mathematics have grown in detail and precision, new physicists have applied the new mathematics and increased the detail of their calculus.
Yet the physical principles, events, and concepts that truly define the phenomenon physicists describe have not changed. So when those principles are changed by false principles as Higgs and Hawking do in mass and black hole theory, the results are false regardless of the mathematical detail they use to reinvent the Universe.
This is clearly shown in theory of mass by the three phases of evolution of the principle of equivalence between mass and acceleration, all of which can be used to calculate trajectories of masses, because all of them follow the three legs of the scientific method. The first paradigm was Newton’s paradigm, which used a simple formula of a gravitational vortex to describe them. And they worked fine for most calculus and they are still used. Then Poisson, Lagrange, and Hamilton refined those calculi. And finally Einstein used Poisson formulation of the gravitational force and took it a step further with the use of nonEuclidean maths.
What we have done is to take Einstein’s work further by using the next age of evolution of mathematics, fractal and nonEuclidean mathematics and the laws of endophysics, which includes the limits of human perception on those equations (Galilean paradox, changes in the speed of time around black holes), which solve the problem of the uncertainty of measure introduced by the observer.
But any of those threeplusone ages of the principle of equivalence between mass and acceleration are good enough to explain what mass is; and none of the quantum alternatives, despite the complexity of its maths, is truth because they deny the principle of equivalence between mass and acceleration, considering mass an external property given by solid particles (the Higgs) that transfer it magically to all other entities of the Universe, not an internal property of the topological structure of spacetime, its accelerated, cyclical motion.
Any of those models—Newton’s forces, Einstein’s relativity, or our nonEuclidean fractal description of the two membranes of the Universe—bring enough understanding of what a mass is. Yet because Pythagorean physicists ignore the underlying logic principles that rule their equations, they believe in the mathematical model of the day and when new mathematics appears, they think the old model was totally wrong. So they thought, as Alexander Pope put it, that “God created Newton and there was light,” but when Einstein came with new maths, they threw Newton’s work as if it were a fantasy when it had worked perfectly for three centuries in calculating all kinds of motions in the Universe. Newton had embedded the same true principles in his work—the principle of equivalence between accelerations and forces, masses and motions (F=m × a).
Next, Poisson and Hamilton applied the new refined tools of differential calculus to the study of the motion of planets, which was previously described by Newton with simpler operandi. So they found out another key principle of the Universe of energy and information—the law of minimal energy, which states that any system of the Universe tries to keep its internal energy and information, follows the path that saves more energy between two points.
Then when Riemann developed nonEuclidean mathematics, Einstein applied them to the previous work of Newton, using the notation of Poisson, to find a more precise analysis of gravitational mass vortices, by making a series of “simultaneous,” present pictures of those cyclical motions and adding the influence of the gravitational membrane that underlies our world of light and electroweak masses.
We could resume the differences between the classic formulation of Newton and the modern one, considering that Newton formulated the description of the whole, and its dynamics in an extended space and time duration, while Einstein formulated the detailed topology of the vortex in each nonEuclidean point of its space and in the simultaneity of each present moment of duration.
The description of those vortices in the scale of charges and quarks can be also done with two degrees of detail, as we do here, considering them whole vortices or as the socalled QCD theory of strong forces does, in detail, considering each fractal quanta (gluon and quark) at each moment of time and aggregating them together. Yet while the whole description of quarks we shall do here is less accurate than the detailed one, brought about by quantum chromodynamics, it provides a more logical, comprehensive overview, which is the aim of this book, since all those mathematical descriptions are truth as long as they describe accurately the equivalence principle between forces and accelerations. If we compare them with a verbal description, we could say that all of them have the same core sentence, the principle of equivalence, but the description of it grows in detail. If Newton, for example, said Jesus had dark hair, Einstein refined the analysis and said Jesus had dark hair with brown touches in his forehead, and fractal relativity refines the sentence further, saying Jesus had long dark hair with brown touches on his forehead and a white stripe on his temples. But the essential concept remains: Jesus had dark hair, that is:
All the past forcesfields of entropy energy and future particlesclocks of the Universe are accelerated motions balanced in present inertial waves.
This principle, so stated, is what physicists dropped with a single arrow of entropy; and due to the excessive specialization of their mathematical models of enormous detail the general vision of the forest of all physical events, the equivalence principle is lost. For that reason, I have always preferred the opposite approach: to study first the forest, the principles of physics, with a limited mathematical precision, achieved by not using computers in my calculations and accepting as supreme guides the laws of the scientific method (Objectivity>Symmetric Minimalism; Linguistic Correspondence; Cyclical Experimental evidence: Œ=Mc^{2}) and the wellestablished principles in which previous theories were founded. And only at the end, once the forest is mapped, I have considered some of its specific trees in more detail.
It is thus the comprehension of the principles of equivalence between the forces of the Universe and the two types of accelerations (F=m × a) and its invariance under change of position or scale in the Universe, not the mathematical details that casts further light on the meaning of mass and charges in the Universe.
Let us then summarize so far the meaning of that principle in Newton and Einstein’s work. Newton defined that principle with a simple formula: F= m × a; that is, the forces of the Universe are made of two elements, which we must consider to be both accelerated motions. Yet since we only know two types of accelerated motions, lineal acceleration (a) and vortices of cyclical acceleration (V × radius=k), masses should be curved, accelerated vortices of gravitational forces.
This was Einstein’s view. It led him to formulate with Riemannian tensors the fourdimensional spacetime structures of gravitation and masses, measuring the structure of space under that principle in a simultaneous moment of time. Thus, he made still pictures in which we can gauge the curvature of the vortex to its finest detail, adding smaller corrections to the whole dynamic Newtonian view.
Thus, Einstein just made a more detailed analysis of Newton’s vortices of mass, turning around the sun, using Riemannian geometries and the concept of simultaneous present time. We could say in a way that he made a more precise picture, a still present photograph of the spatial form of those vortices, but the essential truth, the principle of equivalence between forces and acceleration remains the same from Newton to Einstein to fractal relativity. And so it is that principle and not the evolving mathematics of any of those three models what we have to consider in detail to fully grasp the essence of all the forces of the Universe. What fractal relativity does is to add the advances on theory of information, to go even further, respecting the work of those pioneers and founding fathers.
Now as we advance through different systems of physics we will realize that those 4 views are common to all of them, albeit, some have a better use than others. Of them the most allencompassing one is the Lagrangian Hamiltonian as it is the vision of the whole time worldview of the entity (described with the peculiar concept of energy≈ time in physics, as it should distinguish ALWAYS potential, informative and kinetic energy momentum, as it does in the detailed analysis of its quanta, the scale angular and lineal momentum. So we shall before going into those studies make an analysis of the meaning of magnitudes and conservation laws to fully graph them in terms of T.Œ.
This of course does not mean the others do not work, but as a general rule, far away perception observes wholes (you do not see the hairs of your friend coming down the road but its head and before that its whole, so the Whole –energy worldview and the head – Tƒ element, in this case Newton and Hamilton – are by far the most widely used. And for that reason we have used the Newtonian easiest perspective that comes first – the head in motion that is talking so to speak – to unify forces. In 4th line we will make copious use of the other 3.
Singularities <> Potentials, vs. wave<fields
Before we consider further elements it must be noticed that the fundamental pastfuturepast relationship of singularities is with potentials, while waves are present forms that are ‘pegged’ closely to the substrate they mold, so as in biology we tal of female waves dominant in present, 1,2,3D iterative, liquid reproductive states, and males as pastfuture head/limbs solid/gaseous, mind/entropic 54 dimensional beings, the same concept of T.œ applies to physical systems, once we understand fully the meaning of each dimension, its superoganic components, geometries, topologies and symmetries.
This means singularities’ ternary role is as a perceptive mind, as a feeding attractive vortex that ‘destroys’/feeds on potential quanta and as asocial element that ‘coordinates’ with other similar beings networks to create even larger wholes. Those are the 3 ternary roles of particles in any scale similar to those of heads and males in biological systems.
singularities as emitters of dark entropy: faster than light decelerating neutrinos.
Of all the themes involved in the duality particle/potential, there is the theme of a black hole, center of a galaxy, whose event horizon turns at cspeed, so it must keep accelerating and indeed it shows to do show in a KER METRIC rotary black hole in its perpendicular axis, which therefore will produce as the light and matter swallowed collapses and fast evolves into heavier quarks, which should also rotate faster than light (bcdark atom, top quarks in the center). So what happens here is that while nothing can go faster than light in the udlight spacetime outside the event horizon, inside all goes faster than light rotating and finally expelling Higgs or tau neutrinos as faster than light waves. While our betadecay slower rotational quarks will produce electron neutrinos slower than light. This is the barrier that is not crossed, reason why we hardly see tau neutrinos. Then this flow decelerates as it moves faster than light between galaxies, and also tires light when traversing mounting them.
Why this is not explored has to do with the difficulties physicists have with negative square imaginary numbers. The question of the negative number and the square root solutions, seems indeed to be one of the less ‘understood’ in mathematical physics, and tells more of the inflexibility of the human brain in its onedimensional view of time and space than of the capacity of mathematics to mirror reality. Indeed, in mathematical physics we always obtain two ± solutions, and they do reflect real forms of nature, but then the physicist gets scared because it lacks proper conceptual definitions of ‘energy’, ‘mass’ and so on.
Mathematically, the Higgs field has imaginary mass and is therefore a tachyonic field. While tachyons (particles that move faster than light) are a purely hypothetical concept, fields with imaginary mass have come to play an important role in modern physics. And the answer is obvious, in the same manner a wave group speed is lower than the wave envelop, particles are always slower but the field which is the field of the dark world outside galaxies, equivalent to the 0 spin gluon – the wave CAN perfectly go faster than light and that is all what it means an imaginary mass, or rather an imaginary energy of a wavestate for a field:
Yet the taboo of illunderstod imaginary numbers and tachyon speeds is quite funny silly but absolute among nonconceptual physicists. So the negative solutions are either discharged, normalised or denied; and this has become the fundamental problem to understand the ∆±4 dark world scale beyond galaxies.
Negative energy and negative mass ARE NOT magic, but merely INVERSE TIME ARROWS, which means inverse time motions. If mass is an arrow or future vortex of information, negative mass is its inverse arrow; but alas, as mass is by definition attractive, negative mass does NOT exist, and indeed, if we see the equation, when a tachyon field, makes the denominator negative (1v2>c/C2<0), we cannot JUST put the negative above, but we can move the denominator to the left, and then we have IMAGINARY ENERGY.
The importance of NOT twisting mathematical equations which requires a better understanding of what is a allowed in an =, actually ≈, <≈> operandi of similarity NOT equality is very important to discharge all those nuisances. So what does exist is negative energy, meaning as energy is s wave moving state, tachyon ‘fields’, as the Higgs, NOT tachyon particles/masses.
Then comes the choices, as in the previous equation where we must choose either negative mass or negative energy. We have explained the obvious about mass. A negative mass is an inverse arrow of entropy. And so it is NOT a mass, as we have only attractive masses. Point. Now, regarding the negative symbols there for imaginary mass and tachyon speed, the answer is that particles are stop states, waves are moving states, thus particles do not travel faster than light but waves do, so what kind of particle is actually a wave? One, the neutrino, which plays in the ‘galaxy atom’ the role of the gluon in the atom galaxy with its 3 waves interacting with each other (reason why both symmetric forces, strong and gravitation are similar, attractive only). In that regard, the key to all this is to understand imaginary numbers and the symmetries between ±, attractive repulsive forces, beyond the very limited conceptual understanding today.
If you assume tachyons exist, then special relativity also requires that they have imaginary energy (not mass; you don’t move up the negative symbol in a similarity equation but left). Tachyons were originally proposed before we had a solid understanding of quantum theory, but does not forbid it. Physicists say it is impossible because they do not understand imaginary numbers. It merely means a topological inversion from information to entropy from cyclical to lineal from positive to negative, from life particle to death antiparticle and so on. What we both agree is that particles do NOT move faster than light, only in wave states.
And this agrees also with negative energy NOT masses. The mathematics of quantum theory is now very clear, so it is relatively straightforward to plug an imaginary mass into the equations to see what happens. When you do that and look closely the “particle” aspect of the quantum field actually travels slower than light. So what started as an idea for particles to move faster than light turns out to be something that moves slower than light. And ultimately it is a question on how much information the system carries in its stop state as a particle, vs. how much time it stays in motion as a way. Neutrinos carry less information than light, ergo stay in particle stay less time, ergo are less perceived, ergo in its wave state are more time at faster than light, and this is shown specially when coming from intergalactic sources (which is the trajectory faster than light). But faster than light neutrinos are only so as waves, and only because the cspeed is a barrier you cannot cross, when emitted as waves of ‘tau neutrinos’ in black hole top quark stars through the axis; which likely will produce a 0 scalar higgs field one axis and a 2 neutrino graviton field the other axis. But all this needs very serous maths to convince the ‘pro’ and so we shall keep it whenever we finish the third row.
The ternary roles of vortices in terms of the fifth dimension.
A FUNDAMENTAL TRUTH of 5D³ IS THE TERNARY PRINCIPLE applied to the roles systems command, and this is specially truth of the informative singularities, the mind=membrains that control the system. And as such they command with its dual singularitymembrain the rule of the system, as proteins and DNA nuclei do in cells. So do strangelet halos and black hole singularities in galaxies, and electronic covers and nuclei in atoms. And they will as such perform the 3 primary actions of entropic feeding, its inverse informative perception and its reproductive STpresent actions. As such we can study those ternary actions in organic, synoptic biological terms or in mathematical ones, through algebraic equations as physicists do, with its equation where the ‘3 numbers’/constants of those 3 functions, the phi number of reproduction, the pi number of information and the e number of feeding and death (exponential decay, which brings exponential growth to the predator entity) play a key role (we shall deal with imaginary numbers elsewhere):
INDEED, The mathematical depiction of those 3 primary actions of all systems of Nature take place Through the mathematical equations that explain the MOTIONS of ternary systems, through the two ±3 numbers, e and π and its closely related phi constant.
As a system reproduces in adjacent series on the ternary continuum of time arrows. Or when evolve socially into new scales of the fifth dimension through ternary, 3×3+1 exponential and decametric organic scales, as clone species organise in new social 5D planes.
INFORMATION – πeyes
This is little understood since for so much love of maths, as physicists do not try to match reality and maths, they miss what is important and not on the inflationary equations of maths. Two simple proofs on how much more enlightening is to refer maths to reality all the time to explain its equations:
e+e/10=3, which shows why the exponential function is the most perfect form of social evolution as ten is the perfect tetraktys form, with 3 entropic elements, 3 energetic element, 3 informative elements and the central 10th communicating them as the singularity of growing scales – reason also why the triangle is the most perfect, resistant form in space – the pythagorean perfect number when mathematical ‘things’ were simpler and easier to relate as a mirrorlanguage to reality.
In the other graph show a simpler proof of the proportion of dark, not perceived energy and matter, OUTSIDE the galactic halo of ‘strangelets’ (those things cern say do not exist but are the natural component of the surrounding dark mattermembrane of the galaxy): a Pi cycle is really the first transformation of 3 entropic lines (strings in the corrected string theory to adapt it to relational spacetime), into a time cycle, S>T, which adds a height dimension of information to form the first holographic bidimensional forms of spacetime. Yet pi is 3, 14… and 3 diameters give 3, so pi3 leaves o.14 apertures, which become the ideal openings of any disk to observe the outer Universe from it, as the galaxy is. Now, this small openings of o.14 size are only 4% of the total pi perimeter:
π3=0.14/πperimeter=4%.
So 96% of the Universe OUTSIDE the halo, is NOT perceived properly – we are blind inside a picycle. The Universe is much more complex and rich in information we shall EVER realise for the high popes of physics to be a bit more humble and cautious with their big bang experiments.
We call the ideal holes in the membrane of a system, call it pores or eyes, or ‘holes’ in the strangelet halo that allow only part of the light that comes to the galaxy to enter, πeyes.
As we cannot see through them, neither we can see the strangelet halo of dark matter, it is just an extension of the Witten hypothesis, but natural to the symmetries of scales, latter studied in more detail. Ultimately all systems do have dark spaces, including human eyes.
In the graph, the ideal πeye RANGE changes with species, as form change, but likely applies to the physical systems of bidimensional space (galactic disks) as one of the possible hypothesis on dark matter brought about by 5D³. Perception is always limited, linguistic – a mirror of the whole, but languages change on their ability to portrait the laws of ∆st
Yet likely as in any other electronic /atomic system of the lower ∆3 scale, symmetric to it, the galaxy hides part of the complex universe and ultimately regardless of the exact veracity of the πeye hypothesis, huge regions of reality do NOT interact with our world either because they are beyond an ∆discontinuum, or a Tcyclical membrane.
‘Only the Universe has all the information about itself’ Haldane.