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. 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.