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Physics Letters A

The spin and the anomalous magnetic moment of the electron in stochastic electrodynamics

A. Jáuregui, Luis de la Peña

Published Nov 1, 1981• 6 citations
Publisher
DOI
10.1016/0375-9601(81)90366-2

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•Mar 23, 2026•0 citations
In a previous paper by the author a new approach in quantum electrodynamics was proposed in which the electronic and electromagnetic fields are ordinary c-numbers in contradistinction to noncommuting q-numbers used in the standard formulation of quantum electrodynamics. The factual development of standard quantum electrodynamics began when the anomalous correction to the electron magnetic moment and the Lamb shift were calculated and the calculations were confirmed by experiment. It is demonstrated in the present paper how the anomalous electron magnetic moment and Lamb shift can be obtained in the new approach in quantum electrodynamics.
In 1965, the Nobel Prize was awarded for the modern formulation of Quantum Electrodynamics (QED) to R.P. Feynman for his diagrammatic method, J. Schwinger for the operator method, and S.-I. Tomonaga for his relativistic derivation. Subsequently, P. Kusch performed a precise measurement of the electron's anomalous magnetic moment, providing a critical test validating QED's computational methods, which proved to be extremely accurate. Nevertheless, QED is based on a physically unrealistic assumption—mathematically circumvented—that the electron is a dimensionless point particle endowed with physical properties "ex abrupto." This work, developed within a deterministic and non-local dBBZ (modified de Broglie–Bohm) theory, models the electron as an entangled and distributed structure, as proposed in previous studies. It enables the calculation of the electron's anomalous magnetic moment as a consequence of its intrinsic structure, without employing QED techniques. The method involves calculating, for each orbital, the anomalous moment modified to account for the influence of existing magnetic fields. Subsequently, entanglement is imposed on the sum of these moments, and from the total orbital anomalous moment thus obtained, the theoretical magnetic anomaly is derived and compared with the corresponding experimental value, yielding relative errors on the order of 10^-10. This procedure, which allows for greater theoretical precision , need a similar , albeit more complex, calculation of the muon's and tau anomalous magnetic moment. This is because a specific parameter, termed the "source parameter," selected within an allowable range requires , at least , dual verification to be adopted with high precision. The theoretical determination of the muon's anomalous magnetic moment is also presented in a subsequent document, employing analogous computational procedures.