In relativity the notion of simultaneity is often accepted. But according to the hypothesis of the photon in ray of light, the photons arrive successively on a screen and the notion of simultaneity seems no longer good. If we supposed the photons absorbed during a short time on the screen the difficulties to understand interferences disappear see “Interferences and periodicity”.
It looks like events which are considered to be instantaneous, like the reflection pf fotons, need in fact some time, at least because the photon has a positive length as a wave. Also, because of its length, it cannot be assimilated to a moving point. In this light, some of the thought experiments must be slightly rethought.
Dear Mihai: It is that I think. As a result, at the scale of the light, there is no continuous ray of light. Now as I suppose in “ The wave and the Quantum start” to understand the duality wave-corpuscle there are exchanges of grains of mass between the proton and the electron in an atom and there is no more continuous motion and continuous line of motion for the gravity center. I am not specialist of relativity but I hope this reflection can be useful for those who have discuss the paper “Notes on the Meaning of Einstein's Special Theory of Relativity” by Eric Lord.
It seem possible to say there is no Absolut definition of units of length, time, mass and so on.
Let me comment on the sentence: "It seem possible to say there is no Absolut definition of units of length, time, mass and so on. " There is a mathematical theorem of ZF-Inf which asserts that there cannot exist a trustworthy example of a quasi-pseudometric space. In consequence, it is impossible to measure all measured distances precisely. I have noticed that, usually, physicists and, worse, even mathematicians do not understand well enough what they think and talk about. Regards, Eliza Wajch
Dear Eliza Thank for your comment. You write "It seem possible to say there is no Absolut definition of units of length, time, mass and so on." I pass two experimental thesis and this sentences is evident. We just obtain measurements of the order of magnitude. Well but this noticing does not help to understand the question of the simultaneity of the photon. The question is that with its paper on relativity Einstein use the notion of relativity keeping in mind the notion of wave. Indeed it took the hypothesis of the photon after if paper on special relativity. When I read this paper about in 1969 soon I conclude there is no simultaneity since we have photon, so we must suppose that the photons are waiting the following photons to be able to give the interferences.
Now about: “I have noticed that, usually, physicists and, worse, even mathematicians do not understand well enough what they think and talk about.” Are you sure that you give the same meaning to the words than your interlocutor? Regards Xavier
With the difficulty to consider the simultaneity of the photons in the interferences, in statistics there is no reason to have special statistics. Indeed a first approach was initially proposed by Planck to describe the spectral density of the black body. To understand the difficulties of this approach one has to look at the historical context. It is Planck the first who has introduced the quantification of the light associated to the harmonic oscillator. In this way he was able to use the statistical approach of Boltzmann and to avoid the difficulties of the classical model which diverges for the high energies. In 1900 there was not yet quantum model to explain the emission of the light. One has to wait Einstein in 1905 for the hypothesis of the photon and Bohr in 1913 for the first atomic model. With the lack of a clear understanding of the emission of the photons Planck was supposing the existence of harmonic oscillators that we can easily identify with the quantum transitions of the electrons of the atoms of the solids building the black body. He was supposing that the oscillator emitted all a series of quanta of energy nhn. Now we know that the atoms emit photons of variable energy as a result of the thermal energy. Thus the remarkable approach of Planck is perfectible. Furthermore at this time it was difficult to suppose that the quanta of energy nhn do not exchange directly energy between them, as their constant velocity allows supposing it. Yet without exchange of energy it cannot have statistical distribution in the same meaning than that of the energy of the atoms. Since the photons are emitted by the electrons of the atoms their statistical properties must be the reflection of that of the atoms of the solids emitting them as it appears in our study “The black body and the Dulond and Petit law” see also “Perturbations and Statistical Distribution of the Thermal Energy”.
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