Elementary Electron Model for Electron-Electron Scattering Based on Static Magnetic Field Energy

摘要

Electron motion paths that exhibit zero radiation in a Maxwells equation solution have been reported. Such paths, require a radiationless model of the electron itself, such as the charged hollow sphere. When the electric- field energy of this model is set equal to the rest mass energy of the electron, the radius of the resulting sphere is called the 'classical electron radius'. Analysis reveals that the static magnetic-field energy of the classical model is many times the electron rest mass energy when the sphere is given an angular velocity large enough to exhibit the electron magnetic moment. The necessary angular velocity produces a peripheral velocity many times the speed of light. A classical model with a peripheral velocity near the speed of light is a loop whose radius is the Compton wavelength divided by 2ir; such a loop has a very small dimension perpendicular to the loop plane. Experiments reveal point-like electron scattering properties down to at least 1/100 of the classical radius. The small transverse dimensions of the loop model indicate similar scattering results. Recently, a proposal was submitted to investigate the scattering properties of interacting loops. Because of limited proposal length, derivation of loop model equations could not be included. This report contains the details of the analysis.