English

Resolving the paradox of the Dirac equation: phenomenology

General Physics 2025-02-28 v5

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 α\alpha-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 cc 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.

Keywords

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