Article
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Self-Consistent Maxwell-Dirac Theory
Version 1
: Received: 16 April 2022 / Approved: 18 April 2022 / Online: 18 April 2022 (11:02:47 CEST)
How to cite: Rashkovskiy, S. Self-Consistent Maxwell-Dirac Theory. Preprints 2022, 2022040168. https://doi.org/10.20944/preprints202204.0168.v1 Rashkovskiy, S. Self-Consistent Maxwell-Dirac Theory. Preprints 2022, 2022040168. https://doi.org/10.20944/preprints202204.0168.v1
Abstract
We show that quantum mechanics can be constructed as a classical field theory that correctly describes all basic quantum effects, by combining the Maxwell and Dirac equations. It is shown that for a self-consistent union of the Maxwell and Dirac equations into a unified classical field theory, it is necessary to introduce an additional short-range tensor field, which compensates the intrinsic electrostatic field of the electron wave inside the atom. For the combined Maxwell-Dirac field, the stress-energy tensor is constructed. We show that in the nonrelativistic limit this theory naturally transforms into the self-consistent Maxwell-Pauli theory and allows describing all basic quantum effects in the framework of classical field theory without any quantization.
Keywords
quantum mechanics; classical field theory; unified Maxwell-Dirac theory; stress-energy tensor
Subject
Physical Sciences, Quantum Science and Technology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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