Enhanced Derivation of the Electron Magnetic Moment Anomaly from the Electron Charge using Geometric Principles

Abstract

The electron magnetic moment anomaly is conventionally derived from the fine structure constant using a complex formula requiring over 13,000 evaluations. However, the charge of the electron is an important parameter of the Standard Model and could provide an enhanced basis for the derivation of the electron magnetic moment anomaly. This paper uses a geometric model to reformulate the equation for the electron's charge, this is then used to determine a more accurate value for the electron magnetic moment anomaly from first geometric principles. This enhanced derivation uses a single evaluation, using a concise mathematical equation based on the natural log e π . This geometric model will lead to further work to theoretically improve the understanding of the electron.

Highly Accurate Derivation of the Electron Magnetic Moment Anomaly From Spherical Geometry Using a Single Evaluation

“…We have previously published a model for the electron using the conventional equation for the charge of the electron based on spherical geometry (Worsley, 2011). Using this spherical model, we have also previously derived a provisional equation for the electron magnetic moment anomaly (Worsley, & Peters, 2018). In this paper, further important progress on this work has been made, using only a single evaluation.…”

“…Importantly, in this paper the value for 1 + ae is derived using the conventional equation for the charge of the electron which has been reformulated to give a formula for three spheres based on the speed of light (Worsley, 2011;Worsley, & Peters, 2018). This model has been improved to produce a more concise formula with superior accuracy by using both the natural log e π , and the zero-order spherical Bessel function.…”