Abstract

In this paper we will discuss the relationship between a possible hidden variable in time, f_r, and possible photon mass, particle energy, momentum and special relativity. One of the implications of the possibility of a hidden variable in time that may explains the origin of unstable particle decay time distributions, is the possible existence of f_r for stable particle such as photons. It will be discussed, that f_r may be linked to the photons spin and wave function, which may lead to the conclusion that the photon has a rest mass. More specifically, it will be argued that in order to explain the photon's large energy range, the photon may have a set of masses. Following the above, a correction to the energy and momentum's expressions given by special relativity will be presented. Possible experimental ways to test the above will be discussed.

Highlights

  • In this paper we will discuss the relationship between a possible hidden variable in time, fr, and possible photon mass, particle energy, momentum and special relativity

  • Comparing the e+e− → μ + μ − to the process, γγ → μ + μ −, one can relate the final muon decay time distribution to the initial photon spin and wave function value. This means that the photon spin is related to the energy-time phase of the photon's wave function which means that the photon must have a non-zero rest mass

  • This is so since if the photons have a rest mass and a γb boost structure, their energy depends on their hidden variable fr( j,i) which may be different in the 3 samples as muons with different average decay times may have different fr(i) 's according to Brodet (2010)

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Summary

Introduction

In this paper we will discuss the relationship between a possible hidden variable in time, fr , and possible photon mass, particle energy, momentum and special relativity. The hidden variable in time possibility, fr , first suggested in Brodet (2010), attempts to explain unstable particle decay time distribution by a compatible distribution of fr values This is where fr describes a range of frequencies for the unstable particle's internal virtual boson fluctuations. It will be suggested that the photon energy range may be explained by a set of photons with a set of different non-zero rest masses This means the expression for the photon's, energy and momentum, and in general any particle energy and momentum, given by special relativity should be modified.

Theoretical Background
Experimental Search for Photon Mass
Conclusions
Refrences
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