Electron Shape Calculated for the Dual-Charge Dual-Mass Model

Abstract

A model for the internal structure of the electron using classical physics equations has been previously published by the author. The model employs both positive and negative charges and positive and negative masses. The internal attributes of the electron structure were calculated for both ring and spherical shapes. Further examination of the model reveals an instability for the ring shape. The spherical shape appears to be stable, but relies on tensile or compressive forces of the electron material for stability. The model is modified in this document to eliminate the dependency on material forces. Uniform stability is provided solely by balancing electrical and centrifugal forces. This stability is achieved by slightly elongating the sphere along the spin axis to create a prolate ellipsoid. The semi-major axis of the ellipsoid is the spin axis of the electron, and is calculated to be 1.20% longer than the semi-minor axis, which is the radius of the equator. Although the shape deviates slightly from a perfect sphere, the electric dipole moment is zero. In the author's previously published document, the attributes of the internal components of the electron, such as charge and mass, were calculated and expressed as ratios to the classically measured values for the composite electron. It is interesting to note that all of these ratios are nearly the same as the inverse of the Fine Structure Constant, with differences of less than 15%. The electron model assumed that the outer surface charge was fixed and uniform. By allowing the charge to be mobile and the shape to have a particular ellipticity, it is shown that the calculated charge and mass ratios for the model can be exactly equal to the Fine Structure Constant and the Constant plus one. The electron radius predicted by the model is 15% greater than the Classical Electron Radius.

Origin, Creation, and Splitting of the Electron

“…In the author's previous paper [1], E B was seen to be so close to α that it was assumed to equal exactly α The small discrepancy was assumed to be the result of a small bulge at the electron's equator due to centrifugal force. When this bulge was included in the equations, the result was…”

“…As detailed in [1], the fine structure constant appears in most of the electron's attribute expressions. It also relates some gamma ray attributes to certain electron attributes.…”

“…A model for the internal structure of the electron and its relationships to the fine structure constant is described in [1]. It is comprised of both positive and negative charges and masses, which were employed to resolve charge and mass inconsistencies.…”

An Electron Model Based on the Fine Structure Constant

“…The shape appears to be on the order of an oblate ellipsoid. The author calculated in [13] that the shape is a prolate spheroid. In the author's previous publications [1] [13] [14], a basic assumption was that the physical and electrical forces exactly balance out at the equator of the electron surface.…”