Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

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)

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

Comments (1)

Comment 1
Received: 25 October 2023
Commenter: Miroslav Georgiev
Commenter's Conflict of Interests: Author
Comment: The current version reports improved value of the anomalous g-factor. The accuracy matches one part per trillion.
To improve the discussion, two more sections, three additional equations and nine new references are added. 
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