TITLE:
Soliton Wave for the Magnetic Electron
AUTHORS:
Claude Daviau, Jacques Bertrand
KEYWORDS:
Quantum Mechanics, Nonlinear Wave Equation, Relativity, Wave-Particle Dualism
JOURNAL NAME:
Journal of Modern Physics,
Vol.14 No.11,
October
23,
2023
ABSTRACT: A century ago, de Broglie discovered the wave associated to the motion of the electron. We present here the soliton solutions of a nonlinear relativistic wave equation. Two such solitons exist, corresponding to the two possible states of a particle with spin j = 1/2. The mystery of wave-particle dualism is solved: the electron is both a particle, a point which is a singularity, and a wave extended throughout the whole space.