Steve Dufourny

let’s put now this constant, π, and the Riemann zeta function side by side, and build the universal link. If the zeta function connecs primes for the deep structure of numbers and that the constant pi is essential for the fourrier analysis and relativity and quantum mechanics and probability and waves physics, so now in linking the space and symmetry and topology and geometry it becomes relevant in correting with my constant and he volumes and primes and the fact hat this space disappears between these spheres packing .
1,4695 is a new constant and if we compare the zea values, pi and this constant , so it becomes relevant to go deeper in the analysis .
The Theory of Spherisation
"The optimization of the universe through recursive spherical structures, anchored by a central cosmological sphere and a hierarchy of quantum spheres and cosmological spheres." propose a geometric unification theory based on:
Recursive prime linked spheres
A new constant rooted in both discrete primes and continuous space....
Now let’s show how this may link quantum field theory, cosmology, and mathematics.
Quantum Mechanics Needs Structure and the philosophy of origin here is different than for the strings,
Quantum Field Theory (QFT) describes particles as vibrations in fields but in considering the spectral volume and this constant, i gives interesting roads.
The Quantum and cosmological spherical architecture in this logic are relevant in the recursive analysis and if the motions, oscillations of these spheres are considered.
The spatial rules appear and the zeta function, pi and this constant permit to better understand the continuous space and the quantum geometry with the continuous mathematics of these primes and spheres.
The harmonic of these fractal primes spheres structures geometry so give new roads for our spacetime and quantum mechanics emegences. It is what I make with the tool that I have invencted ,t he spherical topological geometrial algebras and after I have assumptions that I don t affirm with the 3 main systems merging to create the ordinary matter, the DE, the DM and photons, the 3 made of hese series and the DE informational and antigravitaional implying a fifth force encoding the 2 others....

      Lorraine Ford the spheres can be the foundamental objects Lorraine, we know that you always believe that you are special and always you critic all, the 3 systems merging can be true , and the spheres like foundmental objects also, you can prefer the strings or points and the GR like primary essence, for the constant I have calculated there is nothing of odd I just begin with a central sphere the biggest volume and after I increase the number of spheres around wih the primes, and oddly we arrive at this constant like an universal reursive serie, if you dont undersand the maths of this , it is not my fault, it is simple, 1more 3 multiplated by 1 on 8 and after we continue 5 multiplicated by 1 on 64 and we continue more 7 multiplicated by 1 on 512 ..........and yes there is probably an universal link between the spheres and primes, and I am goinmg to try several serie and other constants are going to appear, this one is just one , I will give the others, and for the DE informational encoding the DM quantas of mass and the photons , it is possible also with or without your approvement, I have never seen a theory fronm you, just disussions critisizing, so if you could disprove my theory of spherisation an optimisation of the universe qith quantum and cosmological spheres , you can but I doubt you can success to disprove it, well lets go deeper lorraine and be frank, and please answer sincerely without evitatung toi answer,
      1 what is for your the origin philosophical of the universe,
      2 what are the foundamental objects, you can explain with strings in 1d or points in 1 d and the GR
      3, do you beleive that we come from a mathematical accident or from a kind of god and develop please
      4 why the primes are important in maths and physics,and pi also
      5 why the fields in the QFT are a reality and from what ,

      I repeat don t turn around the pot , please answer.like this we can see your generality and what you have in the stomach

      ps for the constant I expl,ained it is one constant appearing with primes and spheres packing, I will give here other constants possible in function of the series of volumes utilised, and yes there are fractals of spheres where the space disappears between spheres due to fact that we increase the number and decrease the volumes from the central one, and if the 3 main systems merge it makes sense for the motions, oscillations, densities, spins, agular momentum, mass......I am sorry but even on linkedin many persons are interesed about this reasoning and THEM they are physicists and Phd and others want to collaborate, the spheres and primes have an universal logic and it seems even the choice of this universe. So now answer wih humility please and don t evitate the questions.regards

        Lorraine Ford so the constants I given is just one road and a specific serie, the one I search is in considering the volumes proportional in volumes, so the 3 smaller around the central one have the same volume than the this center and after he 5 smaller around the 3 have he same volumes also, and it give a constant and it can be relevant for the primordial fractal of spheres when we consider the primes and when we tend to infinity and when this space disappears between them. The spheres and primes are the primary language of the universe, it seems even evident and the choice of this universe.
        ps answer to my questions please, don t evitate them with a long not necessary discourse, if you like the physics so you must tell us more and what are your choices about the universe and its laws and the orrelated philosophy,in fact Lorraine you critic always the works of others like if you knew this consciousness,the origin of the universe , the quantum mehanics, the foundmental objects and others but in fact like all you have not proved these things simply and you never answers to the questions we ask, you evitate them because you have not really concrete answers abou things, answer me please Lorraine about what I asked thanks

            Steve Dufourny
            Though physicists have occasionally mentioned this very problem,

            it needs to be repeated that mathematicians and physicists, and others like yourself, have never yet paused for one minute, and faced up to the fact that

            a set of equations or theories, ANY set of equations or theories, is not the same as a viable moving real-world mathematical system.

            What is missing?

            1) You assume movement will automatically occur.
            2) You assume that the system will automatically somehow know itself and its own situations, i.e. its own relationships/ equations/ mathematics, its own categories (like mass, charge and position), and its own numbers that apply to the categories.

                Lorraine Ford
                (continued)

                So, it is all very well having theories such as yours, or sets of equations, etc. etc.: the details don't matter.

                But, in order to have a viable moving real-world mathematical system you also need

                an aspect, or aspects, of the world that initiates/ reinitiates number movement in the system, and

                an aspect, or aspects, of the world that recognises/ knows/ is aware of the specific numbers that apply to the specific categories (like mass charge or position), and is aware of the specific relationships between those specific categories.

                    Lorraine Ford I can understand what you tell but we need equations and mathematics to describe the reality and search links to analyse the systems that we observe and measure. It is like this that we have improve the quantum field theory, the quantum mechanics, the cosmology .....how can we describe the universe and its laws without equations and maths. The euqations in thermodynamics or others are concrete and verified and act well, and it is linked with what you tell about these categories and relationships .

                    You've raised an interesting and important philosophical point about the relationship between equations, systems, and the real, dynamic world. Your concern that equations alone don’t “move” or “know” anything is a powerful reminder of the gap between symbolic representation and physical reality. I don t tell then opposite .

                    However, it’s also important to clarify the role and power of mathematics and equations in physics. You are absolutely right that equations by themselves don’t “initiate” movement or “recognize” anything. They are static structures. But here’s where physics and math as used within it takes a crucial step forward.
                    Equations describe change and interaction.
                    In physics, equations aren’t just fixed ideas,they encode the rules for how systems evolve over time.
                    The “knowing” part is the role of observers and the model itself.
                    You mentioned that systems don’t “know” their own states. And indeed, physical systems are not self-aware. But physics doesn’t require them to be. We, the observers, construct models and interpret measurements. Equations allow us to describe and predict what the system will do. The “awareness” you mention is provided by the measurement apparatus and the interpretation of data.
                    Math is not reality,it models it.
                    You’re absolutely right that no equation is reality. But this is not a flaw,it’s a feature. Equations are abstract tools. But they are tested against reality, and revised when they fail. The reason we trust them isn’t blind faith, but centuries of empirical success,from predicting planetary motion to enabling GPS satellites to correcting for quantum effects in electronics and many other examples exist .
                    Equations are essential because they’re the only precise language we have for cause and effect in the natural world.
                    If you want to describe how one thing leads to another in a testable, repeatable way,math is the only tool precise enough to do it. That’s why even when your philosophical critique is valid, and your desire for “real” systems that are more than symbolic is understandable, the practical answer still relies on equations.

                    Regards

                        Lorraine Ford I really appreciate the depth of your reflections,it’s clear you’re wrestling with some foundational and important questions about the nature of reality, and the role of mathematics in describing it.
                        I'd like to offer a different perspective, one that sees equations not as hollow, static symbols, but as something more like musical notation in a grand universal composition. It is this also the sciences and mainly the physics and maths, we play musics in trying to describe this reality in respecting the universal composition and for this we must respect several laws in the partitions.I don t tell this because I play guitar and piano but because the physics and maths are a little bi like the arts also.
                        Imagine the universe as a vast orchestra, playing a symphony that spans from the dance of galaxies down to the rhythm of atoms. The equations we use in physics,whether it’s Einstein’s field equations or Schrödinger’s wave function or other are like musical scores. They don’t generate the music themselves, but they encode the structure, the harmonies, the timing, the relationships between notes. They guide us through the flow and so the numbers and constants also.
                        Just like a symphony has different instruments playing in harmony, the universe has different "frequencies"—forces, particles, masses, energies—all playing according to specific patterns. And mathematics is the language we’ve discovered that best describes these harmonic relationships. Of course when we make this It lacks instruments and we cannot play this universal music but we try to respect the harmony and these gamuts, notes in the details of speific spheres of analysis.

                        What you mention,that the system itself must somehow “move,” or “know” its categories like mass, charge, position is true in a philosophical sense. But in physical terms, movement emerges from the structure. A musical score doesn’t move itself, but when interpreted by a conductor, an instrument, or a model,it comes to life. In physics, the initial conditions and the laws (the “score”) combine to produce the unfolding reality we observe.

                        When physicists write equations, we’re not claiming they are the totality of what exists. We’re saying: this is the structure we hear beneath the phenomena, like hearing a chord and knowing its components. We try to stay in key, respect the gamut, and identify where the music resonates with the reality we observe.

                        So the equations are not just arbitrary marks,they are attempts to tune in to the universal harmonics, to find the underlying logic and pattern that governs how things unfold. Without them, we’d just be hearing noise. With them, we begin to understand the music. It is there that the equations, maths, numbers partitions......become relevant when they respect this universal symphony because all is linked in this universal music palyed in an incredible complexity beyond our understanding

                          Steve Dufourny
                          I notice that the above words are not entirely your own words, and not entirely your own thoughts.

                          The man-made equations, that symbolically represent real-world relationships between real-world categories, are essential to represent the real world; and so are the man-made number symbols, that apply to the man-made symbols for the categories, essential to represent the real world.

                          But the fact that the equations contain delta symbols etc,, to try to represent change over time makes ABSOLUTELY NO DIFFERENCE to the fact that no amount of equations, categories and numbers are sufficient to represent a viable moving real-world system.

                          Without an explanation for why the world ever moved and why the world continues to move, and without an explanation for how come, out of all the theoretically possible number and category and relationships combinations, the mathematical system can identify its own on-the-spot categories, relationships and numbers, without these explanations, YOU HAVEN'T REPRESENTED A VIABLE MOVING REAL-WORLD SYSTEM.

                          I.e. your theories and equations don't represent a viable moving real-world system.

                              Lorraine Ford Lorraine, what do you tell, it is me who write and they are my thoughts, like my english is not my first language, so sometimes I utilise the translator when I want to be more complex in details,you know Lorraine you seem to be a person wanting to compete, it is not good because you show us a kind of frustration , you shall be more convining in being more nice, the universal altruism is important, we are not in the forest in fighting for our life you know, we are on a platform of physics to share with respect ideas, It is not my fault if the scientists don t take you seriously and that it implies this frustration, you don t develop your ideas phiulosophically speaking or physially and ,mathematically speaking, your repeat with your categories without details and always in critisizing the sciences community like if all physicists and mathematians don t understand the reality, , you don t detail nor your categories, nor your symbols ,nor your aspets, in fact you just putt words without real definitions and concrete descriptions, I am sorry but it is true.

                                Lorraine Ford you conclude too quickly the things Lorraine like for my thoughts and words, and the problem is there you are persuaded about things not proved, and in politics when the persons make this they make catagories about people and rank the humans without real proofs ,and sometimes it implies even deep problems like in the dictatorships, they beleive they know all, they affirm the psychology of their fellowmen, they conclude all like facts but in fact it is just in their minds and not proved, think about this. You must try to be more cool, nice and less persuaded about your assumptions not proved, sorry bu It is true, the critics, yes, the lack of respec , no simply, and I am persuaded it is just about your psychology and friustration, me I like you, but you seem to like nobody , take care

                                    Steve Dufourny
                                    Occasionally, you will find physicists in essence remarking that there is a difference between a set of equations and a viable moving real-world system. I am, in essence, merely agreeing with these physicists.

                                    As I said, your theories and equations can't represent a viable moving real-world system.

                                    This is a BIG problem, but you don't seem to care, and instead you choose to say things about my character.

                                        Lorraine Ford If you tell it Lorraine , you think like you want and you are persuaded about what you want , I can do nothing about this. For the theories like you like the strings theory or the geometrodynamics, or my theory and these spheres like foundamental objects, we don t affirm we just try to give roads. When I observe the nature and this universe, these spheres,spheroids are a reality, after all in cosmology in this universe we have only this , and I tell me that for the quantum scale it is probably the reality also and after they can create all shapes with the deformations due to forces, fields, informations, see the symplectomorphisms preserving the volumes, there is nothing of odd with the spheres , observe well this nature with your spherixcal eyes , see the glannds, see, trees, flowers, a water drop, the favorite sports of humans with the spheres due to the rotations and ideal motions, see the waves, the gravitational waves, the Black holes, the planets, stars, and so many other exemples,there is really nothing of odd with this theory and it can be the hoie of this universe and even it can be correlated with the categories, aspects and symbols for the ranking and physical properties,

                                          Lorraine Ford Lorraine, I am sorry about the things told about the character, I just try to understand why you always want to compete, I have not began this competition me, you critic and and conclude about assumptions , you tell things and after you are surprised that the persons asnwer you, I respect you me, the critics I believe are always better when they are construtive . And also I don t affirm my assumptions I just give ideas , and if these ideas were disproved I d accept but it is not the case, the constant I given is a real calculation, the theory I give is not disproved also actually, and for your ideas , I need more proved details. The viable moving real world like you tell with the categories, symbols, aspects , me I want well but you dont detail the physical , mathematical , phyliosophical structures. I have asked you to be concrete about your choice about the foundmental objects and your philosophical choice, but you never answer, why we exist and from what and how, it is simple, how the matters, energy, informations act to create the reality we live, I need simply general structures for your categories, symbols, aspets, we need causes and affects simply, but you dont explain us , regards

                                              Steve Dufourny
                                              Steve, I’ll leave you to meditate on the following:

                                              ON COMMANDING EQUATIONS TO FLY

                                              [Physicist] Christopher Fuchs recounts (in an email from Dec. 1997, reproduced on p. 292 of “My Struggles with the Block Universe“, 2014):

                                              a little anecdote about [physicist] John Wheeler that I heard from [physicist] John Preskill a few days ago. In 1972 he had Wheeler for his freshman classical mechanics course at Princeton.

                                              One day Wheeler had each student write all the equations of physics s/he knew on a single sheet of paper. He gathered the papers up and placed them all side-by-side on the stage at the front of the classroom. Finally, he looked out at the students and said,

                                              “These pages likely contain all the fundamental equations we know of physics. They encapsulate all that’s known of the world.”

                                              Then he looked at the papers and said,

                                              “Now fly!”

                                              Nothing happened. He looked out at the audience, then at the papers, raised his hands high, and commanded,

                                              “Fly!”

                                              Everyone was silent, thinking this guy had gone off his rocker. Wheeler said,

                                              “You see, these equations can’t fly. But our universe flies. We’re still missing the single, simple ingredient that makes it all fly.”

                                              …

                                              [Physicist] Wheeler appears (cf. [physicist] Blake Stacey, Jan 2016) saying:

                                              There’s nothing deader than an equation. You write that down in a square on a tile floor. And on another tile on the floor you write down another equation, which you think might be a better description of the Universe. And you keep on writing down equations hoping to get a better and better equation for what the Universe is and does.

                                              And then, when you’ve worked your way out to the end of the room and have to step out, you wave your wand and tell the equations to fly.

                                              And not one of them will put on wings and fly.

                                              Yet the Universe flies!

                                              It has a life to it that no equation has, and that life to it is a life with which we are also tied up.

                                              (From https://ncatlab.org/nlab/show/John+Wheeler)

                                                  Lorraine Ford You know Lorraine, we are here on FQXi a wonderful platform free when we respect the rules. We have the chance to learn a lot and from arxiv and the members of FQXi are probably the best on this earth in physics, they are professionals. Us we are not professionals and there is like a language in this community, they have learnt a lot about maths and physics and sometimes they are creative and invent innovative revolutionary works. I have never published and I work about this, I am obliged to study things that I didn t know. We are never taken seriously if the pappers published don t respect the specific language of this community, we must be concrete, and develop the ideas with rigorous mathematial and physical laws. TThe theoretical physics is a topic still different where there are a lot of assumptions, but that permit to give roads and new lines of reasoning and sometimes it converges with the foundamental laws of this universe. It is essential to respect how it acts this community . We can have our ideas, philosophies, theories, ....but we cannot affrim them if it is not proved simply. So I don t affirm my theories and works when they are not proved. We are all persuaded about our works but is it a reason to impose them and to not respect the ideas of others. We are never taken seriously in making this I believe. Only the proved l;aws, axioms, equations are accepted. The theories, equations like you told must represent the viable moving real world system, and it is not about the categories, aspects , symbols but about rigorous proofs. The universe has a specific universal partition far of our knowledges and the particles, fields, numbers,energies, informations and their properties are under specific systems and laws. We try to respect the universal symphony and we try to improve what we know with the tools that we have....Best Regards

                                                    5 days later

                                                    I have just posted an outline metaphysical conjecture of an alternative model of reality: https://ai.vixra.org/abs/2504.0122
                                                    Abstract: A novel cosmological conjecture is proposed which reinterprets the nature of the universe as evolving from an eternal, infinite, indefinite potential field termed "May" (virtual massenergy). In ‘thistory’ (sic), ‘universes’ emerge as a consequence of the Heisenberg Uncertainty Principle, and subsequent search for evolutionary stable strategies (ESS) for continued existence and persistence. These ESS appear as ‘small bangs’: individual galaxies within a single expanding whole of May, with each supermassive black hole functioning not as a terminal gravitational sink but as a birthing point of local coherence and persistence from May. The laws of physics emerge as the summary conditions describing these ESS. Distinguishing between coordinate time of 3-dimensional spacetime and real evolutionary (life) time of emergent structures, this model offers a metaphysically coherent and observationally relevant alternative to current cosmological orthodoxy.

                                                    What do you think?

                                                    6 days later
                                                    1. Basic Units: Qutrits + Spherical Volumes, so in considering the primary series of spheres for the 3 main systems , and so we go farer than a hilbert space and so we complete the spacetime geometry , si the qutrit state is represented by intrinsic geometric configurations and the modes become relevant if the 3 systems merge like the universe makes, we consider so the oscillations, the angular momenum, the curvatures signatures, the information operations, the geometric transformations, the rotations, the densities ,the angles,....and with the group theory and the spherical topological geometrical algebras , so we define the operations in temporal dynamics like for the hamiltonian evolution. So we have tranfers of informations and entanglements .
                                                      Of oursre my model has assumptions with the DE and DM, but if this DE is purely informational and a fifth force, it beomes interesting if it encodes the photons and DM to cree the standard model, so if true, the fields and states become relevant with the possbilities but the difficulty is to find the universal partitions of these primary quantum spheres and their series. Not easy for the couplings , the information gradients, the fields.....and so the real universal computation dynamics is difficult also with thye spacetime and the states evolution but a general model can be made simplistically speaking for a quantum cellular automata,

                                                    If the qutrit permits to go farer with true, false and the third one for the superposed states or undefined or intermediate, it makes sense when we consider the generality. It is a logical structure built on ternary logic wich seems richer and more aligned wih the physical reality if the spheres are the foundemnatl objects and if the 3 systems merge to create this reality at this quantum and cosmological scales. Geometry, topology and dynamics are more physical because we don t use here stattic symbols but motions, osciullations, interactions...that can be correlaed with the topos theory or the category theory or other like the contextual quantum logic. The transformations become relevant and operations if we simulate paritions and assumptions with this DE even lie main universal informational system implying this fifth force antigravitational, the not, and ,or, if....with the volumes and their motions oscillations become interesting to analyse and compute with temporal operations. What I find relevant is that we go farer than a symbolic abstraction.

                                                    8 days later

                                                    Matter Expansion as an Alternative to Gravity

                                                    Hello all,

                                                    I would like to share a conceptual model in which gravity is interpreted as the result of volumetric expansion of matter rather than curvature of spacetime or Newtonian attraction.

                                                    This model reproduces:

                                                    • The classical solar light deflection angle,
                                                    • Schwarzschild-like black hole horizons,
                                                    • Galaxy rotation curves (without invoking dark matter),
                                                    • Interference patterns in the double-slit experiment (geometric explanation),
                                                    • And a volumetric view on redshift.

                                                    I have published this work on Zenodo here:
                                                    DOI: https://doi.org/10.5281/zenodo.15366460
                                                    Title: Matter Expansion as an Alternative to Gravity

                                                    I would be happy to receive any thoughts or critiques.

                                                    — Ehsan Hajisadeghian