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Dear Emmanuel,

I truly enjoyed your paper. I think it's also fairly easy to understand that the photon is the basic entity to be associated with all energy. On the other hand to have it as the basic (exclusive) building block of matter is to somehow ignore that the fabric of space-time needs to be included. That is from the perspective of the photon neither space nor time exists and it only exists for those entities that are recognized as matter.

That's to say that only with the omission of space-time can we have a photon and only with its inclusion do we have matter. This would have me find that matter must then be somehow the physical consequence of the two, rather than a reconfiguration of the one. It is an interesting question whether a black hole is a place where space-time are reunited at the exclusion of energy or rather a place where energy is reunited at the exclusion of space-time. Interestingly enough in reading your comments I find that something like what I've said here you account for as the dawn of inflation and subsequently matter; so perhaps I have it wrong that you don't consider space-time as an essential and fundamental entity along with the one of energy (photon).

Regards,

Phil

    Hello Emmanuel,

    I find your idea of photons as being the fundamental nature of the Universe rather intriguing. Have you checked Jason Wolfe's essay, "Photon Theory"? My work does not directly deals with theories of photons, but I do show how Basic Law can be formulated using a 'prime physis quantity eta' (thought of as both 'action' as well as 'accumulation of energy').

    In my essay, I show that Planck's Law for blackbody radiation is actually an exact mathematical tautology that describes the interaction of measurement. This explains why the experimental blackbody spectrum is indistinguishable from the theoretical.

    More directly relevant to your interests, however, you will find a results I posted just days ago, "If the speed of light is constant, then light is a wave". I provide a simple mathematical proof of this proposition in my post. It's very short and easy to follow. If you should read it, I would be delighted to have your comments and support.

    Best wishes,

    Constantinos

      Dear Phil,

      Thank you for your interesting remark. In a new version of my essay available online here: http://cel.archives-ouvertes.fr/cel-00530098, I explain that photons are more primordial than fundamental. In another paper untitled "The nature of time" available online here: http://cel.archives-ouvertes.fr/cel-00511837, I have explained that time comes from the possibility of motion for matter relative to the possibility of motion for photons which is the speed of light. So, I think that the spacetime comes from the fundamental relation between matter (all charges or massive particles) and light (photons as waves). Some speculative theories explain gravitation with a particle called graviton. This particle has no mass and no charge. I think that only particle without charge and mass is the photon and I think that it is the primordial form of energy. I agree that if the Planck epoch is the primordial light epoch, the notion of time and then the notion of spacetime have no meaning. Recently, I realized that we can explain the origin of masses relative to photons if they are primordial. The same is true for inflation.

      Best regards,

      Emmanuel

      Dear Constantinos,

      I don't understand what your eta is. But I am not sure that we will find the solution to the unity of Physics in a new mathematical development. The book of the mathematician Peter Woit "Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law" is interesting to explain the current relation between Physics and Mathematics.

      I think that the solution to the problems of masses, dilation, the beginning of the universe and more generally of the unity of Physics must come from Physics itself. I think that we need a new physical assumption coming from the subtle relation between matter and light. I think that photons are the primordial element of the physical evolution of the universe.

      Emmanuel

      Dear Emmanuel,

      You write, "I don't understand what your eta is."

      You can think of eta as being the "time-integral of energy". Hayrani Oz (Prof. Of Aerospace Engineering at Ohio State University) has used similar time-integrals of energy (what he calls enerxaction) very successful in his work for many years. Together we will be coauthoring a chapter in a Thermodynamics book coming out this July)

      You write, " But I am not sure that we will find the solution to the unity of Physics in a new mathematical development"

      I agree that going deeper into the current "rabbit's hole" of theoretical physics will not bring us closer to a 'unity of Physics' or discover 'what is' the Universe. I see all such efforts as 'metaphysical' in that these seek to answer 'what is'. And like all 'metaphysics' in the past, in my humble opinion such efforts ultimately fail.

      My approach to physics is different. Though mathematics can provide us with 'logical certainty', it cannot give us the 'truth of what is'. We can only know our 'measurements' of 'what is'. I see 'measurement' as the essence of physics. The mathematical foundations of physics, therefore, should be mathematical identities pertaining to measurement. The Pythagorean Theorem that we use to measure distance is a good example of this. Not 'mathematical models' describing 'what is'.

      In my essay I derive Planck's Law for blackbody radiation without using energy quanta. I show that this Law is actually a mathematical identity that describes the interaction of measurement. It simple gives us a mathematical way of calculating 'energy intensity' if we know the 'energy absorbed' at some given temperature. This is the reason why the experimental spectrum is indistinguishable from the theoretical.

      You write, "... the unity of Physics must come from Physics itself"

      My thinking is that what gives physics (and anything else for that matter) 'unity' is the human mind that comprehended physical experience as an integrated whole. I believe in the ancient Greek idea that "Man is the Measure of All Things". And I apply this principle to physics as well - highlighting of course, Man and Measure.

      Do check my recent post, "If the speed of light is constant, then light is a wave". It's a very simple and elegant mathematical proof of this proposition. And please support my efforts to bring these results before the panel for review!

      Best wishes,

      Constantinos

      Dear Constantinos,

      Concerning your paper "If the Speed of Light is a Constant, Then Light is a Wave", I think that there is a mistake. When you say "Dividing these by [math]\frac{\partial\eta}{\partial x}[/math]", you cannot obtain the next equation because [math]\frac{\partial^2\eta}{\partial x^2}\neq\left(\frac{\partial\eta}{\partial x}\right)^2[/math].

      Best,

      Emmanuel

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      Dear Emmanuel,

      Check the equations more closely. What you are pointing to as a mistake is not what is happening. You are overlooking the factor (partial of eta w.r.t t) on the right side . What is the correct reduction is (partial of eta w.r.t. t) / (partial of eta w.r.t. x) equals dx/dt (the velocity). The same operation also occurs in the second equation. When the two equations are combined into one through simple direct substitution, you get the wave equation!

      Please let me know if there are any other questions. I be more than happy to address these.

      All the best, and hope for your support ...

      Constantinos

      Dear Constantinos,

      OK I agree. Good luck for the contest.

      Emmanuel

      4 days later

      Dear Florin,

      I have written a new version of my essay available online http://cel.archives-ouvertes.fr/cel-00530098. I tried to correct some mistakes and among them the one you pointed out by using the suggestion of Cristi Stoica. If we have enough energy then we can obtain weak and strong bosons by using pair productions in two photon collisions. But physicists want to know why we have Lie groups SU(2) for the weak force and SU(3) for the strong force. In order to have stable particles and interactions, I think that it implies symmetries. Several years ago, physicists thought that these symmetries were fundamental and they tried to unify all interactions in SU(5) but they failed due to the stability of protons. Today, there is a new attempt with the Lie group E8 with the "Exceptionally Simple Theory of Everything" of Antony Garrett Lisi. But I think that symmetries are a consequence of the need of stability and not the inverse. Today, the Grand Unified Theory seems to be difficult because the coupling constants of the tree interactions (electromagnetic weak and strong) do not converge to a single point. Concerning the masses of the elementary particles, I now think that they are defined relative to photons. The problem of the Higgs boson is that even if it explains the mass of the elementary particles (defined as a stable product of an elementary pair production in two photon collisions), there is the problem of its own mass. Moreover it does not give a definition for the elementary particles.

      Emmanuel