Open AccessHighly Accurate Derivation of the Electron Magnetic Moment Anomaly From Spherical Geometry Using a Single Evaluation
Author(s) -
Andrew Worsley,
James F. Peters
Publication year - 2022
Publication title -
applied physics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9647
pISSN - 1916-9639
DOI - 10.5539/apr.v13n3p30
Subject(s) - bessel function , physics , anomalous magnetic dipole moment , moment (physics) , electron magnetic dipole moment , anomaly (physics) , electron , constant (computer programming) , function (biology) , magnetic moment , decimal , computational physics , geometry , mathematical analysis , classical mechanics , magnetic field , magnetization , quantum mechanics , mathematics , computer science , arithmetic , evolutionary biology , biology , programming language
The electron magnetic moment anomaly (ae), is normally derived from the fine structure constant using an intricate method requiring over 13,500 evaluations, which is accurate to 11dp. This paper advances the derivation using the fine structure constant and a spherical geometric model for the charge of the electron to reformulate the equation for ae. This highly accurate derivation is also based on the natural log eπ, and the zero-order spherical Bessel function. This determines a value for the electron magnetic moment anomaly accurate to 13 decimal places, which gives a result which is 2 orders of magnitude greater in accuracy than the conventional derivation. Thus, this derivation supersedes the accuracy of the conventional derivation using only a single evaluation.