Exact classical approach to the electron's self-energy and anomalous g-factor

An exact classical approach to the calculation of electron's self-energy and anomalous g-factor is reported. The electron's intrinsic dynamics, related electrodynamics and occurrence of anomalous magnetic moment are completely determined. A unique regularization of the electromagnetic field scalar potential underlying all results is derived. A fundamental transcendental equation satisfied by the electron's anomalous g-factor is obtained, with solution a(e) = 0.0011596521800027(65), matching the experimentally measured value reported in the literature to 0.59 parts per trillion. Field representation of the electron intrinsic and orbital dynamics in atoms is discussed. Copyright (c) 2024 The author(s)