The electron g-factor relates the magnetic moment to the spin angular momentum. It was originally theoretically calculated to have a value of exactly 2. Experiments yielded a value of 2 plus a very small fraction, referred to as the g-factor anomaly. This anomaly has been calculated theoretically as a power series of the fine structure constant. This document shows that the anomaly is the result of the electron charge thickness. If the thickness were to be zero, g = 2 exactly, and there would be no anomaly. As the thickness increases, the anomaly increases. An equation relating the g-factor and the surface charge thickness is presented. The thickness is calculated to be 0.23% of the electron radius. The cause of the anomaly is very clear, but why is the charge thickness greater than zero? Using the model of the interior structure of the electron previously proposed by the author, it is shown that the non-zero thickness, and thus the g-factor anomaly, are due to the proposed positive charge at the electron center and compressibility of the electron material. The author’s previous publication proposes a theory for splitting the electron into three equal charges when subjected to a strong external magnetic field. That theory is revised in this document, and the result is an error reduced to 0.4% in the polar angle where the splits occur and a reduced magnetic field required to cause the splits.
As Einstein famously said towards the end of his life, “You know, it would be sufficient to really understand the electron.” [
The electron g-factor g is calculated from the charge and magnetic moment.
The result shows that B E = g 2 α , where B is the magnetic field at the center of the
electron, E is the electric field at the electron’s surface due to its charge q, and α is the fine structure constant. The magnetic field B is modeled to be created by many spinning subshells of charge, with the outermost subshell having a radius R, the classical electron radius, and the innermost subshell having a radius of R q i < R . An equation is derived that relates g to the charge shell outer and
inner radii ratio R q i R . The thickness of the outer shell mass was derived in [
The charge shell is assumed to be embedded within the mass at the outer surface of the outer shell mass. A model is presented wherein the charge shell is stretched by the positive charge of the central core, thereby creating the non-zero thickness of the shell and thus the g-factor anomaly. From the anomaly, the compressibility factor of the electron’s outer shell mass is calculated.
The splitting of the electron into three equal charges was modeled in [