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An Atom-Photon Energy Paradox and a de Broglie wave length Energy Paradox of Special Relativity

Viktor Schatz

Published Jan 1, 2021• 0 citations
Publisher

Abstract

We discovered a relativistic Photon-Atom-Energy paradox of Special Relativity and a de Broglie wavelengths energy paradox of Special Relativity, which are two different problems, but assumed to be of same reason. Any try to explain using Special or General Relativity failed till now. We invite every one to get involved in our discovery and to try to solve this problems, which seems to be of a very deeply principle. Also we cite our unite solution of both paradoxes.

DOI
10.13140/rg.2.2.10499.22568

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We discovered a relativistic Photon-Atom-Energy paradox of Special Relativity and a de Broglie wavelengths energy paradox of Special Relativity, which are two different problems, but assumed to be of same reason. Any try to explain using Special or General Relativity failed till now. We invite every one to get involved in our discovery and to try to solve this problems, which seems to be of a very deeply principle. Also we cite our unite solution of both paradoxes.
We will here show that there is one more relativistic wave equation rooted in the relativistic energy Compton moment relation, which should not be confused with the standard relativistic energy momentum relation. The standard momentum is, from a quantum perspective, rooted in the de Broglie wave. The de Broglie wave is not mathematically defined for rest-mass particles and has strange properties such as converging to infinity when the particle is almost at rest. As mentioned in the previous paper, the de Broglie wave is likely just a mathematical derivative of the true matter wave, which we have good reasons to think is the Compton wave. A wave equation that satisfies the relativistic energy Compton momentum relation will, in addition automatically satisfy the standard relativistic energy momentum relation, so there is no conflict between these two relations. The new one related to Compton is just the deeper reality and help explain why it gives simpler and more elegant relativistic wave equations, which are likely easier to interpret in terms of the physical reality.
In this paper, we have considered that the particle velocity in the matter wave concept of de Broglie is relative. It reveals that matter wave associated with a moving particle is a photon wave which has longitudinal and transverse values. The conventional de-Broglie’s wavelength-momentum relation corresponds to the longitudinal wave. As a consequence, we have found the longitudinal and transverse relative values of the mass, time, length and velocity including the missing equations of Einstein’s theory of special relativity. It also reveals that momentum and energy are relative quantities and the corresponding expressions for the longitudinal and transverse values for both of them have been presented. Moreover, the addition rules, with a general expression, for all the relative quantities based on Lorentz-Einstein transformation law for the addition of velocities have been given. Finally, the maximum and minimum values of the relative quantities have been expressed in terms of Plank’s constant and the speed of light. Their numerical values have also been calculated and presented in this paper.
While the experiments have shown similar wave-nature of matter-particles and photons, there are two different formulae for finding Relativistic-increase of energy of massive-particles and photons. This paper presents a unification of the two different formulae, in terms of Doppler-shifts of waves; leading to an insight that the ‘particles-of-matter’ seem to be the ‘standing-waves’; and de-Broglie’s ‘matter-waves’, and ‘quantum-mechanical-waves’ are ‘envelop-variations’ of the actual, more-fundamental waves.