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Self-Interactions, Self-Energy and the Electromagnetic Contribution to the Anomalous g-Factor
Version 1
: Received: 15 August 2023 / Approved: 15 August 2023 / Online: 16 August 2023 (08:18:02 CEST)
Version 2 : Received: 2 October 2023 / Approved: 2 October 2023 / Online: 4 October 2023 (07:42:40 CEST)
Version 3 : Received: 24 October 2023 / Approved: 25 October 2023 / Online: 25 October 2023 (11:37:25 CEST)
Version 2 : Received: 2 October 2023 / Approved: 2 October 2023 / Online: 4 October 2023 (07:42:40 CEST)
Version 3 : Received: 24 October 2023 / Approved: 25 October 2023 / Online: 25 October 2023 (11:37:25 CEST)
How to cite: Georgiev, M. Self-Interactions, Self-Energy and the Electromagnetic Contribution to the Anomalous g-Factor. Preprints 2023, 2023081136. https://doi.org/10.20944/preprints202308.1136.v3 Georgiev, M. Self-Interactions, Self-Energy and the Electromagnetic Contribution to the Anomalous g-Factor. Preprints 2023, 2023081136. https://doi.org/10.20944/preprints202308.1136.v3
Abstract
The present paper reports an exact approach quantifying the electromagnetic contribution to the anomalous magnetic moment occurring in isolated system comprised of non-composite particle carrying elementary electric charge. Essential averaging procedure and regularization of the electromagnetic field potentials necessary when quantifying the electromagnetic self-interactions and when deriving equations of motion without singularities and obeying the conservation laws are thoroughly discussed. The study shows that the dynamics of the considered system is associated to unique classical transcendental equations of motion satisfied by the particle's velocity and the electromagnetic contribution to the anomalous $g$-factor known from the quantum electrodynamics. The equations of motion lead to an exact analytical expression for the anomalous $g$-factor that provides more accurate result than that calculated with the aid of quantum electrodynamics. It matches the experimentally measured value reported in the literature to a one part per trillion. We obtain a_e=0.00115965218000(65) thus reveling the potential of non-perturbative, non-probability methods in predicting the electron's anomalous g-factor.
Keywords
Self-interaction; Self-energy; Anomalous magnetic moment; Electrodynamics
Subject
Physical Sciences, Theoretical Physics
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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Commenter: Miroslav Georgiev
Commenter's Conflict of Interests: Author
To improve the discussion, two more sections, three additional equations and nine new references are added.