Alternative Models of Reality

Hello to you ,....

i have made some interesting progress in the continuity of those peer-reviewed works,...

it is all about entangled quantum information....and... quantum gravity

this definition of information is used :

information it is a quantum state change due to the modification of one degree of freedom of the considered quantum system

moreover, the black holes entropic information formula permits to express the black hole entropy down to the quantum level independently of the area horizon's law that permits to calculate the Von Neumann entropy, the gravitational fine-grained entropy of the black hole independently of the area of the horizon law.

The black holes entropic Information formula can calculate the entangled Hawking radiation down to the quantum system, describing black hole independently of the area law of the entropy of Bekenstein-Hawking. The black holes entropic information formula is equal to the universal bound originally found by Jacob Bekenstein. Which is equal by Casini's work to the difference between the expectation value of the modular Hamiltonian in the excited state and the vacuum state, itself equal to the Von Neumann entropy. The ultraviolet divergences can be avoided by taking differences between quantities computed in an excited state and the same quantities computed in the vacuum state; this must be put in relation to Ryu and Takayanagi conjecture, a general formula for the fine-grained entropy of quantum systems coupled to gravityВ 

We start from the hidden thermodynamic of Louis De Broglie, where we replace the mass by the mass of bit of information.

After we used this mass of bit of information at the Hawking temperature in the framework of the black hole thermodynamics and in the perspective of the Hawking radiation, the process of evaporation of the black hole, we will compare some black hole data from all over the black holes scale to confirm that the black holes entropic information formula equal to the Bekenstein-Hawking entropy, but, also equal to the Bekenstein bound . Results are put in relation to the work of Casini from 2008 about Bekenstein and Von Neumann entropy, about the fine-grained entropy and the coarse grained entropy. After this we will put in relation the black holes entropic information to the Ryu-Takayanagi formula which is a general formula for the fine-grained entropy of gravity-coupled quantum systems.

The black hole entropy horizon law which turns out to be a special case of the Ryu-Takayanagi conjecture.

The black-hole entropy area relationship was generalized to arbitrary regions via the Ryu-Takayanagi formula, which relates the entanglement entropy of a boundary conformal field theory to a specific surface in its dual gravitational theory but the current understanding of the formula is much more general. As being a general formula for the fine-grained entropy of quantum systems coupled to gravity.

[math]$$K_V=tr (K ПЃ_V) в€' tr (K ПЃ_V^0)=$$ \((kc^3ln(2)t_{evap}) \over 16ПЂ^2GM\)=$$S_v=S (ПЃ_Vв"‚ПЃ_V^0 )= S(ПЃ_V )- S(ПЃ_V^0 )=$$ $$Tr (ПЃ_VВ  (log (ПЃ_V)В  - log (ПЃ_V^0)))=$$ $$2ПЂkRE \over в„Џc$$[/math]

Moreover we ca say that :

the information increase drives :

--the 2nd law of thermodynamics

--the emergence of the classical world from the quantum.

--the arrow of time

which itself points in the direction of increasing information/entropy and multiplying entanglement viewed as correlation of information.

***

All mathematical description and further development can be found at

www.entropicinformation.space

with :

Quantum Gravity mathematical description

with

Abstract and explicative Video

with

Publication Peer-reviewed

hello @Steve Dufourny

""The scalar massless fields of this DE antigravitation possess the main informations and encode these photons and this CDM to create the diversity of matters and their properties.""

so for you,

information is masssless..?

perso i considers information as physical, and im not the only one

pls take a look into :

Landauer's principle formulated in 1961 states that logical irreversibility implies physical irreversibility and demonstrated that information is physical.

A 2019 paper from Melvin M. Vopson establishes some theory for a mass-energy-information equivalence principle and proposes an experiment to test it, a experimental protocol for testing the mass-energy-information equivalence principle

as photon..

According to electromagnetic theory, the rest mass of photon in free space is zero and also photon has non-zero rest mass, as well as wavelength-dependent. The very recent experiment revealed its non-zero value as 10 - 54 kg ( 5.610 ﾃ-- 10 - 25 MeV c - 2 )

But what is your definition of information .?

the one i used is this one :

"information it is a quantum state change due to the modification of one degree of freedom of the considered quantum system"

perso my work about The Entangled Informational Universe are based on physical information and on black hole thermodynamics.

Have you some mathematics development..?? always better with....

Hi Olivier, yes I consider the main informations in this space vacuum of this dynamical energetical fluid of the dark energy antigravitationa, of negative pressure and like a fifth force. I have 140 pages for the publications and this moment and yes the maths are developped with the spherical geometrical topological algebra the tools that I have invented. Many things are considered, the QFT, Yang mills , the GR, the philosophy of my theory .......these informations are simply correlated with the series of 3D spheres of this DE and they have motions, rotations, oscillations and it is this the codes and informations , the cause of these informations are dynamical and physical. The codes are topological, geometrical and about the properties of fields when this DE encoded the photons and the cold dark matter to create the ordinary matter and its fields. The deformations of spherical volumes are made with the symplectomorphisms preserving these volumes also. The informations must have a cause philosophical and must have a dynamics, if you don t define what is an information, so there is a problem. Like you see the universe is mainly made of particles in this fluidity , if the spheres are the answer and are not emergent but the choice of the universe, , so it seems logic about their motions , rotations, oscillations , so in resume an information for me is not binary codes inside the photons from this GR and fields , but are from this DE and its motions and oscillations. The maths of all this puzzle are complex seen the number of spheres for the primary series.

hey @steve,....

""Hi Olivier, yes I consider the main informations in this space vacuum of this dynamical energetical fluid of the dark energy antigravitationa, of negative pressure and like a fifth force. ""

hmm take a look into :

The mass-energy-information equivalence principle which combines several theories to offer an alternative to dark matter. There is no dark matter. Instead, information has mass, Melvin Vopson says. we can read in some articles,.....""Newly Proposed Experiment Could Confirm that Information is Fifth State of Matter""

"" if you don t define what is an information, so there is a problem""

have you read my post .? you don't have seen the definition of information.?

"information it is a quantum state change due to the modification of one degree of freedom of the considered quantum system"

All your model : "theory of spherisation" is based on sphere..

But Spheres are structures and structures are information!!

The structures like you said are the for me the primary essence of the universe and are these spheres and the informations can be these 3D spheres of the DE in the fluidity, we need causes for our informations, you don t define the cause nor in philosophy , nor in reality. If you told me , steve I consider that a kind of god codes the spacetime and photons at this planck scale with binary codes and fields and with photons and dark photons for the turn off and turn on and after that you link with the mass energy equivalence of einstein and after that you correlate witt he geometrical algebras and dimensions and in explaining the 3D emergent reality, it could be interesting, but you have no philosophy, no cause really

@steve

""The structures like you said are the for me the primary essence of the universe and are these spheres and the informations can be these 3D spheres of the DE in the fluidity,""

but with massless information ....!!!

""you don t define the cause nor in philosophy , nor in reality.""

The new Entropic Information approach

For that approach, we'll take the "it from bit" perspective route.

"it from bit" perspective symbolizes the idea that every item of the physical world has at bottom -- at a very deep bottom, in most instances -- an immaterial source and explanation; that what we call reality arises in the last analysis from the posing of yes-no questions and the registering of equipment-evoked responses; in short, that all things physical are information-theoretic in origin and this is a participatory universe". Wheeler

But

"It's one thing to say that measurement requires information. It's another thing to say that the thing being measured is created by the observer doing the measuring".Dembski

The new Entropic Information approach is in line with a semiclassical approach where the space is described by general relativity theory and the matter is described by quantum field.

This can be realize by Quantum field theory in curved spacetime (QFTCS) being an extension of quantum field theory from Minkowski spacetime to a general curved spacetime.

Where, the spacetime is treated by this theory as a fixed, classical background, while for the matter and energy propagating through that spacetime are explained by adescription provided by quantum-mechanics.

Quantum field theory in curved spacetime (QFTCS) is a viable approximation of the theory of quantum gravity when spacetime curvature is not significant on the Planck scale.

The spacetime in which the fields propagate is classical but dynamical. The curvature of the spacetime is given by the semiclassical Einstein equations.

After this short presentation about the general framework used in entropic information theory, let us now focus on what is, following the Entropic Information Theory, the fundamental building block of our universe: the entangled quantum information.

Indeed, we can say that the new Entropic Information approach is founded on the bit of information such as the number of bits of the system is the number of bits necessary to specify the actual microscopic configuration among the total number of microstates allowed and thus characterize the macroscopic states of the system under consideration.

Where, following the Entropic Information Theory, the entropy of a thermodynamic system in equilibrium measure of the uncertainty as to which all its internal configurations compatible with its macroscopic thermodynamic parameters (temperature, pressure, etc.) are actually realized

Report on ongoing Holographic Physics work at deserdi.xyz

As humanity has travelled, both spiritually and intellectually, since the dawn of the Scientific Revolution, common ground has emerged between the spirit of our great religious teachings and science, which began, in part, as an attempt to describe and manage the Universe without any reference whatsoever to spirituality.

Perhaps beginning with special and general relativity, and their impact on Cosmology (namely, the idea that time has a definite beginning), and continuing with the advent of quantum mechanics, where the observer effects, and is implicated by, the observed, trends toward a kind of pseudo-spirituality have been on the rise in science since the early twentieth century.

But new developments can happen in the realm of spirituality, as well. The recent addition to the religious canon of the Christ-centered 'A Course in Miracles' (also called the Christian Vedanta by one of its 'scribes') has deepened our understandings of psychology, ontology, epistemology, eschatology, and the promise of universal redemption.

While we can't discuss or even feign to understand all the implications of these new developments in science and spirituality, we will share aspects of a wholistic vision involving holographic physics, a vision which sprang from personal practice of the spiritual discipline of 'A Course in Miracles' over fifteen or so years. ACIM, as it is often called, is not the central focus of this website, although it is mentioned at points... the central theme is the holographic nature of our Cosmos. However, the practice of ACIM remains a constant ground tone which has supported our work.

INTRODUCTION

Deserdi.xyz exists to share, serve and help develop insight regarding an emerging sense of wholeness pervading the fields of physics and metaphysics, primarily revolving around the perception of our Universe as being holographic. Bohmian mechanics was the first quantum theory to speculate that the universe has 'holographic' properties, with string theory being the other main adherent to this idea.

Whichever wins out as a final theory may use insights we have attempted to develop on this web page, specifically with regards to something called 'macrocosmic quantum entanglement.' This 'property' of the Cosmos is revealed and embodied by the bandlimited Fourier forecasting work done by us (and others, in differing forms) which imply that conventional quantum entanglement may also be observed at large scales. We 'wax' a bit spiritual at points on various pages of the site, but unapologetically so. And though our presentation may be a little clunky and disjointed at points, if you bare with us, you may come away with something worth having.

We are by no means the first to venture in this territory, and if we have accomplished anything worthwhile, it is with gratitude and deep indebtedness, not only to the physicists and mystics who have come before, but to the people that, like me, labor without the egoic distinction of enhanced "specialness," although heroically nonetheless. As has been observed: the greatest accomplishment is to live an ordinary life in an extraordinarily forgiving manner.

David Bohm, a central figure in our discussion, was the first physicist who both perceived the Universe as being holographic and also addressed the stand-alone importance of mysticism and a new kind of respectful dialogue between individuals as being essential to healing the Mind of which the Cosmos is but an aspect. Bohm's concept of the Universe being comprised of both implicate and explicit orders, connected by enfoldment, has proved groundbreaking, and implies such seemingly imponderable notions as a newly minted concept called: 'macrocosmic quantum entanglement,' the meaning and implications of which will be explained as we go along. As a property of our Holographic Universe, it is just one result of everything being enfolded, or entangled, in everything else.

"TWICE-ENTANGLED" POTATOES

Standard quantum entanglement is a property of any two particles with the same genesis (or 'pseudo-genesis'), such that their quantum states can't be considered independently from one another. Measurable aspects of two entangled particles - such as 'spin' - find themselves correlated in such a fashion that a change in one particle results in an instantaneous change in the other particle, even if they have moved vast distances apart since their conjoined birth. This influence appears to imply faster than the speed of light information transfer, although there have been some problems with capitalizing on this property in fields related to communication.

In addition to standard quantum entanglement, which can, theoretically, be 'engineered' at any point in time or space, 'macrocosmic quantum entanglement,' relates to phenomena which spring from the common birth of all matter and energy in the Big Bang, a profoundly 'entangling' event. Any later standard entanglement event has, as a backdrop, this macrocosmic entanglement which may draw other previously linked particles under the 'new' entanglement's sway. Thus, it may be helpful to remember that a standardly entangled set of particles is really "twice-entangled," as per the tongue-in-cheek title of this section of writing.

Some speculate that perceptions of synchronicity, psychic-phenomena and the paranormal, and various both spiritual 'gifts' and impoverishing mental health problems may have common roots in entanglement. In the most general sense, we can at least say that Bohm's postulated holographic properties of the Cosmos likely spring from standard entanglement models applied to the grand scale for a Universe with a single common 'entangler' like the Big Bang.

Bohm spoke of the Universe as being a "Holomovement," in which every part contains the whole. I first saw a hologram in my high-school physics class, and was fascinated. At deserdi.xyz, our work starts with the attempt to mathematically unlock the universal hologram, in a pragmatic way which satisfies the scientific prerequisite: namely the prediction of future events from past events. Our approach should apply to all measurables, whether they be microscopic entities or larger scale phenomena.

MATHEMATICAL JOURNEYS

On our website, we aim to strip scientific forecasting to its bare bones, capitalizing on the holographic properties embedded in Fourier analysis, to achieve one of the great aims of science, prediction, using very few standard physical models. All we really retain is the memory of measurements made in the past and the projection of those measurements forward in time with the help of the French mathematician Joseph Fourier's work.

Paradoxically, we will later discuss whether 'prediction' is even worth undertaking... for various reasons: some pragmatic and some spiritual. However, that said, it does seem that, since we humans are addictively dependent on our predictive efforts, we may be bound to them, for now. Perhaps, though, we could gradually reign in our obsession with both past and future forecasting to shorter and shorter time frames - it remains for humanity to undertake dialogue as to whether we would be spiritually well-advised to ween ourselves from the near universal obsession with prediction and control.

But first, in the interest of not 'skipping steps,' let's go on ahead down our little assigned rabbit-hole of prediction, and see what's there to see. In working to develop predictive functions which utilize the Discrete Fourier Transform, and apply to real number series, including those related to measured natural phenomena, we have labored to advance Bohm's vision and to demonstrate, holographically, that the part actually does contain the whole, with the past also containing the future, in a Universe where "everything is enfolded in everything else."

Scientific prediction based on our work is discussed, with MATLAB code appearing on a separate page, on the page titled: 'Fourier Forecasting.' Provided that your results merit it, we leave the reader to reverse-engineer their understanding of the logic and rationale behind the processes from the, admittedly, sparcely documented MATLAB code.

If viewed through the right lens, our research, combined with the work of many others, obliquely suggests that ancient ways of effecting real and substantive change and healing in the Unfolding of the Cosmos, including prayer and meditation, engaged listening, and Mindful dialogue, may be more primary then science, which often misassigns causality amidst a sea of merely correlative relations, will currently acknowledge.

In addition to our forecasting work, we have developed, and dedicated a page to a Restorative Up-Sampling (RUP) algorithm. This up-sampling algorithm aims to be 'alchemical' in the sense that it may, if accurate, restore the 'gold' of high-frequency components lost due to under-sampling, while also undoing the 'dross' of aliasing errors introduced by this same under-sampling. It could be called 'alchemical,' also, in the sense that restorative up-sampling qualifies as one of the 'Holy Grails' of information processing: a feat which had been regarded by mainstream science as an impossibility. This algorithm is the natural outgrowth of Fourier Forecasting, so we thought we should include it here, so that others may follow the full thread of where we were led by this inquiry.

As an important aside, I should mention that this work remains ongoing, if only in the sense that it is up to the reader to make the final assessment of the results, and report/share with the community. Even if my work is flawed, there may be a possiblity of others more skilled 'picking up the ball' where I have left off.

"A Course in Miracles" says that ideas are purified as they are shared, and that, in fact, their sharing is their purification. Working outside a team setting, I have had to share ideas, on this and other forums, that were in need of purification, though believing that they may have reached their final embodiment. I believe that your receiving them, with abundant patience, activated my mind toward a final "good enough" purification.

My forecasting, restorative up-sampling, and noise reduction sound files have been presented on Soundcloud with some initial positive indications that the files are at least intelligible, although the reviewers were "random" listeners who were uninformed of the significance of what they were listening to and for.

I had to change my entire tack on the Fourier Forecasting schema since my last post, but I have made efforts to better document what I have done, both in the now documented MATLAB Code, and the website discussion proper.

Again, we are trying to use the holographic properties embedded in the Fourier transform to achieve prediction of macro- and microscopic phenomenon in a Holographic Cosmos. Restorative Up-sampling is an off-shoot from this that may suggest that the Second Law of Thermodynamics, at least as far as information goes, may be provisionally violable.

Please use your kind "filters" to ignore the "crank" in my writings. Perhaps there are a few good ideas that may appear salvageable.

-Deserdi

I had used a constant that was incorrect, and it didn't amount to just a scaling of the outputs, but rather a total distortion of them. I have now updated the MATLAB code and sound file outputs as of this post - we shall see what the community thinks of the changes.

-Thanks for your patience.

I have improved a lot this theory of spherisation withe quantum and cosmological 3d spheres ,If my humble reasoning is correct, I don t affirm but see well the massive and massless scalar fields in the equation Xl and Y of the DE and DM, E=m(c²+Xl²)+Y=2 mc² the gravitation originates from the energies antigravitational of the vaccuum of the DE encoding the cold dark matter creating mass and the photons creating the electromagnetic fields and so the gravitation under the antigravitation like chief orchestra possessing the main informations,The renormalisation of the quantum gravitation is a very difficult problem, it is mainly also philosophical about the primary essence of the universe. These gravitons are considered by the majority like the quantas of gravitational waves, and after they consider strings or points in 1D and 2 E8 for example and they try different partitions with the geometrical algebras, the vectors, tensors, scalars and in inserting the non commutativity , but that does not renormalise and quantise this QG because the gravitons interact with themselves infinitelly. The problem for me is to consider only the GR like primary essence and like the cause of this standard model with the fields like main essence. That comes from the fact that they consider strings or points in 1D and after a 1D cosmic field connected of this GR and so after they create extradimensions with the strings, branes, Mtheory but if the solution must consider a pure 3d and 3d spheres in a fluidity like in my model, so we have deeper scalar massive and massless fields of this dark matter and dark energy, we can so consider a pure newtonian quantum gravitation hidden behind the 3 other forces known, that implies also a fith force due to the main infor mations in this vacuum of this DE encoding the photons and the CDM to create the ordinary matter. I believe that the works of einstein have created a philosophical prison and that now the thinkers have difficulties to think beyond the box and are persuaded that the SR and GR are the primary essence and that this mass energy equivalence of einstein is correct but for me it is not complete and implies confusions .

Again, yet another test was performed to reduce "form-level" uncertainty in our Holographic Physics results, and it proved positive. We believe that new discoveries can be somewhat fragile with regards humility, either too much or too little, and that too much certainty on the level of what Dr. David R. Hawkins calls "content" (or "form") can result in "contextual" communication failures, like internet mishaps, or simply a communal disgust and rejection of the cocksure manner in which the information has been presented. This content/context Uncertainty principle can be solidified by a widening shared agreement, but again the first steps can be tenuous.

We believe that we had, in all likelihood, too much "content" insecurity, and the last check we made of our results was fairly robust. We now need shared agreement to make this discovery a provisional "reality," and invite you to be part of the community that accomplishes that.

There is a further possibility that these ideas on Holographic Physics may be valid, but nonetheless premature, in the sense of being ideas whose time has not yet come. If the physics community "can't have" the implications of ideas such as these, as yet, at least we are logging them into the Unconscious for future processing.

Cheers to you in your endeavors -

As reported on another forum, this first part of February 2023 has served as a kind of "soft-opening" in which deserdi.xyz has been able to get some etheric feedback and iron out some kinks. We can only imagine the reader's frustration at our unwillingness to look directly into the mirror of our results and either confirm and report, or shut-up and continue refining our work in internet silence.

Again "necessary but not sufficient" checks of results have been used to refine our work to the utmost of tolerance for anxiety, but a final direct look into the narcissistic mirror of absolute failure or success seems unwise without a community to buffer the shock, either way. I hope a community of physicists like FQXI might be sensitive and receptive to both the inner-workings and potential contributions of a "gentleman amateur" who only has a B.S. in electrical engineering. And, boy, I certainly can "B.S.", can't I.

Cheers to you and your community.

Somehow, I lost access to my old account, it says "invalid password" - so had to open a new account. I have a feeling that this Alternative Models page is just a back-water where "cranks" and "crank-theories" are sent to play, perhaps, visited once in a while for a chuckle. So be it. On the off chance that someone even reads this, they are welcome to check out continuing work on Holographic Physics, including pages on non-bandlimited Fourier forecasting, restorative up-sampling, and noise reduction. We present a novel approach to some "Fundamental Questions," though every institution will betray its stated fundamental purpose in the interest of preserving its power structure. Not to say that boundaries aren't important. We couldn't live without them. We'll see what shakes out...

Thanks.
https://www.deserdi.xyz

We have abandoned our noise reduction efforts, as they did not seem viable, and the accompanying page has been deleted from https://www.deserdi.xyz. The rest of the website remains intact and available.

-Thanks.

A visit from my twin brother, Kevin, and on-going "quantum forgiveness" (Gary Renard's term) of some long-standing conflicts between us is clearing-out some psychic-trash which had prevented "new understandings" from coming down from the ethers, specifically with regard to a vision of non-bandlimited Fourier forecasting as it, in turn, applies to scientific prediction in David Bohm's deeply-entangled holographic Universe. We consider our conceptual discussion pretty Mind-bending in and of itself, and if we can get our algorithm to dove-tail (mathematics being our weakest link), we may have something this community could appreciate. On going work available for inspection at https://www.deserdi.xyz

A Theory of Spherisation - a new way philosophical and physical.

General relativity (GR) and quantum field theory (QFT) are not complete, and our knowledge about the standard model (SM) is mainly considered only to string theory in spacetime and at the Planck scale. But if spheres are the key, all changes.
Are spheres the fundamental characters in the universe? The holographic structures with surface codes and their properties of motions and oscillations can converge with several other models. Primitives as 3D spheres in a fluidity for the particles of photons, dark matter (DM), and dark energy (DE) merging to create the ordinary matter; they can be dense-packed and obey groups, clusters.
They actually carry all we need to know and give new solutions to many problems like:
the gap mass problem, the quantum gravity problem, the optimization problem, the hierarchy problem, the cosmological constant and Lambda problem, the DM problem, the DE problem, the hard problem of consciousness.
The missing mass completes the Higgs mechanism with this different philosophy of origin where 3 systems merge to create reality.
How do we approach the origin of reality, if we don’t consider the GR and photons like primary essence, nor the strings or points in 1D at the Planck scale connected with a 1D cosmic field. If my reasoning is correct we must superimpose DE and DM on this. Einstein used symmetrical spheres (in FRW, Schwartschild, teleparallel gravity) [1], abandoned due to string theory and KK-theory. Today we are on our way to abandon string theory, and we search for solutions ‘beyond Einstein’ often using loops. We need to include the quantum aspects like the dark ones and consciousness into gravitational theory.

If we can add or remove distortions that correspond to GR, then the basic structure is Newtonian after all and GR is only an observational tool, only different from SR. We can so far measure through light, the electromagnetic spectrum, but there must be more out there, like the gravitational waves and the neutrinos as some ‘new observational windows’; DM can be an amazing new window? We can understand it as non-baryonic, but how the heck does a non-baryonic matter look like? ‘Missing mass’ looks like antimatter or ‘islands’ of matter we still have not found, maybe supersymmetric even? If we look out through space it disappears observationally, but maybe not ‘in reality’ and locally? Velocity changes like an acceleration distort it only, until it is flat (the circle is max. but this is not the original unity). Symmetrical spheres in quantum is a way to link different fields and groups. Waves make circuits, rings, spheres, and connect to other structures that can be deformed spheres as we can see them using Liouville theorem. Those spheres can look very deformed. Volume is coded on the surface as a vector, as a growing or shrinking of the sphere. The volume is a subjective space of course, the inner part of the sphere rules the computations like a zitterbewegung? Weight is then an additional tension from ‘embedded space’, this is why it is compressed as gravity? This can be linked to fermions as basically massless structures. Massivation is added from the embeddings? Kinetic, potential energy and Klein-Gordon and Poisson eq [2]

Our physical laws and observables as particles are mostly symmetric (optimized), like we also see the SM-model as symmetric (renormalized). Then we have to exclude effects of time, energy and gravity; we say these distort our model. But it can de facto be our emergent, secondary symmetry that makes us confused, and gravity/antigravity can be the only truly symmetrical case. In any case symmetry leads forward, converges, and asymmetry breaks the systems, diverges, and gives the topology. Without this mechanism we would also have no symmetry nor invariance in the universe? GR still holds mainly for symmetrical cases (exact solutions). When we start to twist and bend spheres we get problems. Many say this is an energy problem giving non-linearity, but maybe we also have theoretical problems here?
Outside the box of the general and special relativity; interacting forces.
Regarding the equivalence in Special Relativity we need to incorporate the dark aspects of the universe if we want to relate it to gravitation. The DM and DE are also probably a reality in our QM and SM, implying deeper fields and particles that we have difficulties to measure and observe; from DE appears a possible antigravitational and informational fifth force. Here is my intuitive equation E=m(c²+Xl²)+Y=2 mc², X is a parameter correlated with the cold of the DM and l the velocity, Y is a parameter correlated with DE.

In geometrized units, G +Λg = 8πT. G is the Einstein curvature tensor, a (0, 2)-tensor defined in terms of the metric tensor g, the Ricci curvature tensor Ric, and the scalar curvature R as G = Ric - 1 /2 Rg. Λ is the cosmological constant, whose effect on the evolution of the universe is only seen at very large scales of distance and time (maybe corresponding to an homology in G?). Both G and T are symmetric tensors. We modify this simple equation, inserting DM, DE and informational codes.

Einstein was good, but he had his limits due to facts not then known. He tried to unify all these fields, using a G that was departed from ‘reality’ (homolog), even if it explicitly is defined using ‘reality’. G is strongly attached to matter, maybe even to quarks, like a strong force? There are numerous tests of G, but all end up in some variations, and so far we cannot deduce it. Its most strong link is to iron, the endpoint of the weak force as radioactive daughters. So maybe gravity is a weak force; then it should be possible to find its bosonic counterpart? There are also thoughts about gravity as a weak force, or linked to the weak forces, like a ‘Higgs field’, so the hypothetical graviton should be a weak boson, but massless? For instance Wilzcek has written about this [3] and he also linked in some chirality (as self-interactions?). If we follow this reasoning only spheres can have this; chirality is mostly an inside symmetry story. If we adapt it to gravity and the g-matrix we must find chirality in the covariant or contravariant fields as a curvature, but the diagonal is straight. This is maybe one of his errors, because this already describes a quantum system with virtual fields, so gravity would be ‘already quantum’. The gravity also vanishes in the diagonal so it is a null-field (the equivalence). Einstein solved this by taking only one side, the covariance, into consideration. So of course he got chirality. This is also the reason we cannot renormalize it? The only way would go up into a supersymmetry then.

These forces compete with each other, and keep up the tensions like a balancing act. An expanding universe keeps up the gravitational curvature (as conservation of baryons?) and makes it possible to ‘collect’ all other information from inside.

We assume that DE is the cosmological constant from an energetic vacuum that couples with gravitation. DE balances the Newtonian and GR (becomes ‘ether-like between opposite curvatures?) and probably also encodes them. Because the spheres are informational (carry different kinds of quanta), the photons and the CDM create the ordinary baryonic matter. The bosonic fields in our baryonic matter are due to these encoded photons and the Higgs mechanism [4] also comes from photons and CDM encoded. The mass does not in logic come from the mass energy equivalence of Einstein, but from DM.

We have hence 3 main systems interacting:

• the photons is quantas of heat, thermodynamics and electromagnetism and bosonic fields
• the DM is quantas of mass and
• the DE is quantas of information and antigravitation, a fifth force appears so and is the main antigravitational information chief orchestra…

The scalar, tensors and vector fields can be ranked with the spherical volumes and their motions and oscillations because they preserve the series and the volumes when they merge. Tensors of deformation come from the symplectomorphisms under the information of DE. The distribution of properties comes with the partitions in function of what we analyze, observe and measure.
Deeper scalar, vector and tensor fields.
The symmetries give the scalar fields, in space, time, and matter. These fields we say we have ‘quantized and normalized’ (an error?). This means we have parallelized them, so we ignore the transverse fields. Entanglement, both in quantum and classicality, begins to talk. This again means the orthogonality gets into some problems we have to solve. Most of what we know in physics is in the transverse fields, longitudinal scalar fields are difficult.

How can we reach and measure these deeper fields and particles, what experiments or models can we create? If we take seriously the key insight of GR that gravity is geometry, then perhaps we should turn to geometry for inspiration.

The complementarity instead of the competitivity.
Most applications in physics are based on the either or situation, a binary, digital system based on the game of life. Most signals are digital. We can modulate the signal, kind of phase shift it, add some small correction to it etc. but if we touch the signal itself it is gone. The competition is only in complexity? Orthogonality means we have a choice (a diffeomorphism), but only in the product states, not in the symmetrical ones that should stay invariant (an isomorphism). This gives a dynamicity.

The optimization problem [5] is related to the approximate choice as a ‘best solution’. It can be as a dense-packing of spheres, different other density problems, to find a ‘lowest point’, some least action principle etc. This is used in computer science as a ‘pure’ solution. It is where the spheres do ‘tangles’ to each other. Also the fundamental constants and couplings are on the optimizational tip as ‘interactions’.
This is a problem in so many areas. Dirac uses integrals, quantum physics uses discrete equations, we see it in the Kochen-Specker theorem etc. Shall we use sums or differential equations? How treat 2D and 3D situations when they are found in the same equation? Actually 2D is imaginary, it ‘does not exist’ here, or we can say it is ‘subjective’? Sums are using only unity? So we lose a lot in quantum.

Antigravity. A positive curvature?
The problem of ‘antigravity’ is a fight between forces of different mirror-symmetrical curvatures? Every force has its own curvature, and gravity has the most long range and smallest angle. Gravity also grows in strength with distance accordingly, like gluons, or the Hubble constant [6]. Many look to gluons, the biggest angle, to explain gravity; they are similar, even if gluons are constrained to a subjective space inside a particle. Can there be an explanation in quantum gravity? For instance the Casimir force can be seen as something between two curvatures. AdS/CFT is often used in this way.
Most agree that antigravity is related to cosmological constant, but is a positive curvature, and this curvature must be dynamic, hence we get problems with energy conservation in GR; it only holds for the quantum. DE makes a fifth force [7]? This curvature can be linked to information and consciousness, as a transfer, maybe even as a teleportation of information? This would also make it into a kind of zero-dimension of entanglement, hence a ‘protected’ state. So when we measure curvature, we are actually seeing the effects of the fourth dimension inside our usual complete 3-geometry [8]. This tells that gravity is a virtual force? We can sense it ONLY outside the diagonal, and there it describes a relativity.

DE is probably not invariant. It is like Dirac said, a ‘Sea, made of large numbers’ like some ‘infinity’. Only where the antigravity and gravity interact as curvatures can we have the invariance, and so this has to be where the information travels. Einstein was right, he only missed the fact it is a quantum state? If the whole universe is a quantum state we maybe can look at it as a superfluid also? See the wave equation of the universe, also seen as time.
It is possible to modify the EFE to include scalar fields that represent dark matter (DM) and dark energy (DE). One approach is to introduce an additional scalar field, called a quintessence field, to describe the behavior of DE - can be a ‘higher dimensional’ approach?
Liouville’s theorem [9] shows that there are far fewer conformal maps in higher dimensions than in 2D. Any conformal map from an open subset of Euclidean space into the same Euclidean space of 3D or higher can be composed from three types of transformations: a homothety, an isometry, and a special conformal transformation. In GR, conformal maps are the simplest and thus most common type of causal transformations. Physically, these describe different universes where all the same events and interactions are still (causally) possible, but a new additional force is necessary to effect this.
DM as large scale unexplained curvature?
Many have tried to ‘explain away’ DM, using MOND [10] (a modified Newton, a modified GR, or variable speed of light, a variable G or even a variable fine structure constant or Planck's constant (angular momentum ‘particle’ so). DM can be a long range wave or axion? DM is proved [11, 12]?
If we could allow a small mass to photons and to Plancks constant this could be at least a part of the DM as one ‘hidden parameter’, also wavefunction effects not counted for (infinitesmal corrections?) Antimatter too [13]?
The Standard Model corrections.
These equations describe probabilities of particle interactions and forces in SM.
The electromagnetic force is described by Quantum electrodynamics (QED), which involves the exchange of photons between charged particles as a self-interaction.
Fμν = ∂μAν − ∂νAμ This equation relates the electromagnetic field to the electromagnetic potential, where Fμν is the electromagnetic field tensor, Aμ is the electromagnetic potential, and μ and ν are indices that run from 0 to 3.
The probability amplitude for a charged particle to emit or absorb a photon is given by:
Mfi = −ieψ2¯γμψ1 * (-gμν/q2)ieqν
where Mfi is the probability amplitude for the process, ψ1 and ψ2 are the wavefunctions of the initial and final states of the particles, q is the four-momentum transfer, and γμ is a matrix that describes the spin of the particle.
The weak force involves the exchange of W and Z bosons between particles in QFT. The key equations are: Mfi = −gW2/8mW2Jμ+J−μ Mfi = −gW2/8mW2Jμ3J−μ3
where Mfi is the probability amplitude for the exchange of a W or Z boson between two particles, gW is the weak coupling constant, mW is the mass of the W boson, Jμ and Jμ3 are the currents associated with the particles, and the superscript ± and 3 denote the isospin of the particles.
The strong force is described by the equations of quantum chromodynamics (QCD), which involve the exchange of gluons between quarks. The key equation is:
LQCD = −1/4FμνaFνμa + ψ¯(iγμDμ − m)ψ where LQCD is the Lagrangian density for QCD, Fμνa is the field strength tensor for gluons, ψ is the quark field, m is the mass of the quark, and Dμ is the covariant derivative.
The Higgs field is responsible for giving mass to bosonic particles. The key equation is:
LHiggs = (Dμφ)†(Dμφ) − V(φ) where LHiggs is the Lagrangian density for the Higgs field, Dμ is the covariant derivative, φ is the Higgs field, and V(φ) is the Higgs potential.
Corrections to GR.
The modified Lagrangian density (see below) can be used to derive the modified Einstein field equations with both a quintessence field and a scalar field for DM.

The modified Einstein Field Equations: Gμν = 8πTμν/c⁴ describes the interaction of matter and energy with spacetime, where Gμν is the Einstein tensor that describes the curvature of spacetime, Tμν is the stress-energy tensor that describes the distribution of matter and energy in spacetime, and c is the speed of light.

So how to unify all this in considering deeper scalar vectors tensors fields of the DE and DM, so we could complete the EFE and GR?
The modified Einstein field equations with a quintessence field can be written as:
Gμν = 8πG(Tμν + TQμν)
where Gμν is the Einstein tensor, G is the gravitational constant, Tμν is the stress-energy tensor of matter and radiation, and TQμν is the stress-energy tensor of the quintessence field.
The stress-energy tensor of the quintessence field can be written as:
TQμν = (ϕ,μϕ,ν - 1/2 gμνϕ,αϕ,α - V(ϕ))gμν
where ϕ is the quintessence field, V(ϕ) is its potential energy, and gμν is the metric tensor.
In addition to the quintessence field, scalar fields can be used to describe the behavior of DM. Ex. the scalar field of dark matter (SFDM) model, where DM is described by scalar particles as Bose-Einstein condensate; the scalar field obeys the Klein-Gordon equation and its stress-energy tensor can be added to the right-hand side of the Einstein field equations.

The modified Einstein field equations with both a quintessence field and a scalar field for DM can be written as: Gμν = 8πG(Tμν + TQμν + Tχμν)
where Tχμν is the stress-energy tensor of the scalar field for DM.The stress-energy tensor of the scalar field for DM Tχμν = (ħ2/m2)(χ,μχ,ν - 1/2 gμνχ,αχ,α)gμν
where χ is the scalar field for DM, m is the mass of the scalar particles, and ħ is the reduced Planck constant.
The Lagrangian density for the modified Einstein field equations with a quintessence field and a scalar field for DM can be written as:
L = (1/16πG)(R - 2Λ + 2gμνϕ,μϕ,ν - gμνV(ϕ) - 2gμνχ,μχ,ν) where R is the Ricci scalar, Λ is the cosmological constant, and the last term represents the scalar field for DM.
A possible approach to unifying the equations could involve modifying the Einstein field equations to include a scalar field that represents DE and a tensor field that represents DM. This modified equation could also include a fifth force that is responsible for antigravity.
The modified Einstein field equation could look like:
Gμν = (8πG/c⁴)Tμν + Λgμν + Φμν + Ψμν + ΦSμν
where Gμν is the Einstein tensor, Tμν is the stress-energy tensor for matter and radiation in the universe, Λ is the cosmological constant that represents DE, Φμν is the tensor field that represents DM, Ψμν is the tensor field that represents the fifth force, and ΦSμν is the scalar field that represents the interactions of DE.

Spherical Geometrical Topological Algebras.
If we use spheres as a fundamental explanation we must have a geometry also, some kind of structure. If we deform those spheres we would get topology. A sphere is always embedded. Generally we talk about Hilbert space here, but this is not a ‘must’. We can also use pointers with no background. This has a conformal structure, so a geometry.

We create a tool about the spherical geometrical topological algebras. The aim is not to give an unique equation because the parameters possible are numerous and the equations applied are adapted in function of choices. Not static, but dynamic. Here are some ideas.

We suppose a serie of spheres in motion in a space with a position x_i, y_i, z_i, a velocity v_i, an acceleration a_i, an oscillation of frequency f_i and an amplitude A_i. We can consider also a specific topology determined with equations of distance and curvature, so we can describe the motion of each sphere like a differential equation:
m_i * d²x_i/dt² = F_i(x_i, v_i, t)
where m_i is the mass of the sphere, F_i the force applied in the sphere. These forces can be electric, gravitational, pressure as thermodynamic, or others...

We can now describe the oscillations of each sphere like differential equations:
d²x_i/dt² + (ωi)² * x_i = 0 where où ωi = 2πf_i is the angular frequency of this oscillation
Now let's consider the topology with the distances and curvature, so with differential and algebraic equations where d_ij = sqrt((x_j - x_i)² + (y_j - y_i)² + (z_j - z_i)²) and this for the curvature κ = (dφ/ds)/(ds/dt) where φis the angle s the arc, and time t.
We can now try a recursive equation for the serie primary of spheres V_n = V_0 / (2n+1)³
where V_n is the volume of the nth sphere in the series, V_0 is the volume of the central sphere, and n is the index of the sphere in the series.

Now let's resume and try to converge for the standard model and with the DE and DM like scalar fields considered and let’s consider that the DE encodes the DM and photons to create the ordinary baryonic matter.

Here's a possible general formalism for the ideas we've discussed:
Series of Spheres: We consider a series of spheres in motion in a space, with a position vector r_i, a velocity vector v_i, an acceleration vector a_i, an oscillation frequency f_i, and an oscillation amplitude A_i. We can describe the motion of each sphere by the following differential equation: m_i d² r_i / dt² = F i(r_i, v_i, t) where m_i is the mass of the sphere, F_i is the force applied to the sphere, and t is time.
Topology: We consider a specific topology determined by equations of distance and curvature. The distance between two spheres i and j is given by: d_ij = sqrt((r_j - r_i)²)
The curvature of the space is given by the following differential equation: κ = (d² φ / ds²) / (ds / dt)² where φ is the angle, s is the arc length, and t is time.
Dark Energy: We can describe the motion of the DE using the following Lagrangian:
L_DE = 1/2 (dϕ/dt)² - V(ϕ) where ϕ is the DE field, and V(ϕ) is the DE potential. The potential V(ϕ) is determined by the equation of state of the DE.
Dark Matter: We consider the CDM as a particle with mass m_DM that interacts gravitationally with the spheres and the DE. We can describe the motion of the DM using the following Lagrangian: L_DM = 1/2 m_DM (d² x_DM / dt²)² - U(x_DM, r_i, ϕ)
where x_DM is the position vector of the dark matter particle, U(x_DM, r_i, ϕ) is the DM potential that depends on the positions of the spheres and the DE field, and t is time.
Standard Model: We can connect the series of spheres, the DE, and the DM to the SM using a relativistic bridge. The bridge is described by the following Lagrangian:
L_SM = L_EM + L_W + L_Z + L_H + L_F where L_EM is the Lagrangian for electromagnetism, L_W and L_Z are the Lagrangians for the weak force, L_H is the Lagrangian for the Higgs boson, and L_F is the Lagrangian for the fermions. The Lagrangians depend on the gauge fields and the particle fields of the SM.
By combining these equations, we can create a general formalism that describes the motion of the series of spheres, the DE, the DM, and their interactions with the SM. But we need to consider the Lagrangians of the DE and DM, For DE: Equation of state, parameter w, energy density ρDE, Pressure p_DE, Scale factor a,
One possible Lagrangian for DE is: L_DE = -ρDE a³ (1 + w)
For DM: Density ρDM, Velocity v_DM, Mass m_DM, Scale factor a
One possible Lagrangian for DM is: L_DM = 1/2 m_DM (a v_DM)² - ρDM a³

Now we can superimpose the Lagrangians of this DE and DM to the others and play with the properties of the series. We consider the series of spheres as 4 E8. The E8 group is a Lie group with 248 dimensions and is one of the largest exceptional simple groups. First, we can represent each particle as a sphere or a serie of spheres in a 4D space. The position of the center of each sphere would correspond to the particle's position in 3D space, and the size of the spheres would be proportional to specific properties chosen topologically. In this way, we can represent both massive particles and massless particles like photons.
Next, we can use the E8 symmetry to describe the interactions between these particles. It contains the symmetries of the SM, as well as gravity but we consider also the fifth force antigravitational due to scalar massless fields for the DE. To describe the interactions, it becomes complex in function of series and volumes and that implies categories, groups and subgroups, so 4 E8 for photons, CDM, DE, and ordinary matter, one E8 for each. The interactions between particles would then be described by the group structure of these E8 groups. For example, the photons could be represented by a subset of the E8 group that describes electromagnetic interactions, while the CDM could be represented by a subset that describes the massive particles with the Higgs superimposed. To describe the formation of ordinary matter from DE and CDM we would need to introduce a mechanism that allows for the transformation of particles between different E8 groups. This could be accomplished by introducing a scalar field that couples to the E8 groups and drives the transformation.
Finally, we can use the equations of motion for the E8 groups to describe the behavior of the particles and their interactions. These equations would be highly complex and difficult to solve analytically, so numerical simulations and approximations would likely be required.

Now let's consider my intuitive equation E=m(c²+Xl²)+Y=2 mc² where X is a parameter correlated with the cold and heat for the DM, l is their linear velocity, and Y is a parameter correlated with this DE. The aim now is to try to correlate all this reasoning with the Higgs mechanism in completing it with these massive and massless scalar fields of the DM and DE, that could explain some deep unknowns like the missing mass and mainly also the generation of this mass. For quantum gravitation, it can be utilized in trying to think outside the box in considering a different logic than gravitons as the quantas of gravitational waves in GR.

Symplectomorphisms [14] represents a transformation of phase space that is volume- preserving and preserves the symplectic structure of phase space, a canonical transformation (form invariance through a change of Hamiltonians). where f* is the pullback of w. This gives a recurrence or self-interaction, adjoint function, like a functor? Any smooth function on a symplectic manifold gives rise to a Hamiltonian vector field and the set of all such vector fields form a subalgebra of the Lie algebra of symplectic vector fields. Liouville equation is valid for both equilibrium and nonequilibrium systems. It is integral to the proof of the fluctuation theorem from which the second law of thermodynamics can be derived and tightly linked to Hamiltonian flow. The symplectomorphisms from a manifold back onto itself form an infinite-dimensional pseudogroup. The corresponding Lie algebra consists of symplectic vector fields, that is isomorphic to the Lie algebra of smooth functions on the manifold with respect to the Poisson bracket, modulo the constants.
If the Bayesian probabilities are taken like expectations and if we consider the informations and quantifications, it can be relevant to test the hypothesis in considering the categories and to sort the realism, the observations, the measurements, the subjectivities, etc. The probabilities can also imply philosophical confusions, so in a sense the secret is the ranking of the hidden variables with deeper scalar, vectorial and tensorial fields, but how rank well?

Poincare conjecture concerns spaces that locally look like ordinary 3D space but which are finite in extent, and if such a space has the additional property that each loop in the space can be continuously tightened to a point (dimensional compactification), then it is necessarily a 3D sphere. Perelman's proof in 2002 and 2003 [15,16] of the Poincaré conjecture and the more powerful geometrization conjecture of Thurston [17], (widely recognized as a milestone of mathematical research), use a modified version of a Ricci flow program developed by Hamilton. A stronger assumption is necessary in 4D and higher; there are simply-connected, closed manifolds which are not homotopy equivalent to an n-sphere. The Poincaré conjecture was essentially true in both 4D and all higher dimensions but in 3D the conjecture had an uncertain reputation until the geometrization conjecture put it into a framework of all 3-manifolds. Hamilton's program for proving the Poincaré conjecture involves first putting a Riemannian metric on the unknown simply connected closed 3-manifold. The basic idea is to try to "improve" (correct) this metric; for example (to make a topology or a relativity), if the metric can be improved enough so that it has constant positive curvature, then according to classical results in Riemannian geometry, it must be the 3-sphere, the metrics are amplified.
We can maybe compare to the ‘tracing out’ (to remove the topology or relativity) of possibilities to come to a line-element, null-geodesic as linear eq. in quantum (isomorphy)? That is made by ‘correcting away’ the metrics or distortion; the states are complementary.
About philosophy and consciousness.
The problem is our philosophical, mathematical and physical limitations. When I say that the problem is also philosophical it is the same for our deep unknowns like quantum gravitation and others. We always return to these limitations, that is why the philosophical origin of this universe becomes the key, if we consider only GR as the cause of our QM. We must admit that it is an assumption, we have the QM and the GR and we measure and observe the observables and these two theories work well in our referentials of observations. But the QM could still emerge from deeper causes and informations.
There are interesting correlations with the works of Penrose and Hameroff [18]. The fact that consciousness originates from the quantum level of the neurons and the microtubules is a relevant road, but maybe not the only possible road. Penrose and Hameroff give us ways to better understand free will also. If quantum processing is a key for consciousness and information theory we must consider deeper informations and parameters, then the computable quantum process seems not computable at this moment due to hidden parameters or incompleteness. The collapses of the waves function like in Penrose and Hameroff permits these non computable algorithms. It is mainly about the non randomness? The microtubules and a kind of computation of the mechanisms are limited due to the fact that we observe the surface of causes but not the main causes and their complexity at the quantum level. This is why the philosophy of origin of the universe is important to know and these deeper scalar fields. Science could be different if we apply simply the complementarity instead of the competition and isolation of thinkers and also in thinking outside the box of GR and SR. It is mainly how we approach the unknowns and how we apply these sciences to our environment and global system. The AI arriving can permit to reach relevant results in the extrapolations.

Steve Dufourny I look at the modified einstein field equation that I have made and I must see how to adapt the scalar field ΦSμν the last term for the laws of transformation of the spacetime because it contains two rank tensor and is a prodiuct of 2 terms one gravitational, one anti gravitational , so the invariances under transformation must be adapted, maybe so a spin 0. And Sμν can be a vector field instead of a scalar one , a bosonic field with integrer spin