Semi-classical derivation of charge-quantization through charge-field self-interaction-I

Abstract

A semi-classical synthesis of classical mechanics, wave mechanics, and special relativity yields a unique nonlinear energy-wave structure of relations (velocity triaduv=c2) fundamental to modern physics. Through the above vehicle, using Maxwell's equations, charge quantization and the fine structure constant are derived. It is shown that the numerical value of the nonlinear charge-field self-interaction range for the electron is of the order of 10−13 m, which is greater than the classical electron radius but less than the Compton wavelength of the electron. Finally, it is suggested that the structure of the electron-in-space is expressed by a self-extending nonlinear «fractal geometry» based on derived numerical values obtained from our model, thus opening this presentation of charge-field structure to experimental testing for possible verification.