Resolving the paradox of the Dirac equation: phenomenology
Abstract
Based on the results of F. Wilf on the need to take into account the quantum-mechanical correspondence rules in the Dirac equation for an electron, it was shown that the equation obtained by giving physical meaning to -Dirac operators should be considered as a phenomenological equation for a particle of non-zero size - the EM polaron, previously introduced by the author. This allows a solution to be found to the inherent paradox of the Dirac equation, which consists of the equality of the velocity of the moving particles to the speed of light in a vacuum, which is a priori unobtainable, and to understand the physical essence of spin as the intrinsic mechanical moment of an EM polaron. It is also shown that the Dirac-Wilf equation for a single spatial dimension can be considered a generalization of the Schrodinger equation for relativistic energies.
Cite
@article{arxiv.2404.08009,
title = {Resolving the paradox of the Dirac equation: phenomenology},
author = {Serge F. Timashev},
journal= {arXiv preprint arXiv:2404.08009},
year = {2025}
}
Comments
14 pages; minor correction