A spatial envelope soliton model of the electron - propagating within a fictitious waveguide

TL;DR

This paper introduces a novel envelope soliton model of the electron, depicting it as a wave propagating within a variable waveguide, integrating nonlinear dynamics with quantum and relativistic principles.

Contribution

It presents a new nonlinear wave model of the electron based on a soliton solution to the Schrödinger equation with Bohm's quantum potential.

Findings

Soliton propagates within a waveguide whose size varies with potential

Model aligns with de Broglie's wave-particle concept and relativity

Provides a nonlinear interpretation of quantum dispersion

Abstract

The paper proposes an envelope soliton model of the electron. The soliton propagates within a waveguide which size varies with the potential. The soliton is the solution of the Schroedinger equation with the addition of a nonlinear term that is the negative of Bohm's Quantum potential. This potential is interpreted as representing the dispersion of the linear equation. The model is based on de Broglie's original wave-particle concept, which is based on the Special theory of relativity. The model thus illustrates that theory.