Quantum solitodynamics: Non-linear wave mechanics and pilot-wave theory
- URL: http://arxiv.org/abs/2205.04706v3
- Date: Tue, 12 Jul 2022 10:01:18 GMT
- Title: Quantum solitodynamics: Non-linear wave mechanics and pilot-wave theory
- Authors: Aur\'elien Drezet
- Abstract summary: In 1927 Louis de Broglie proposed an alternative approach to standard quantum mechanics known as the double solution program (DSP)
Our model relies on a relativistic phase harmony' condition locking the phases of the solitonic particle and the guiding wave.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In 1927 Louis de Broglie proposed an alternative approach to standard quantum
mechanics known as the double solution program (DSP) where particles are
represented as bunched fields or solitons guided by a base (weaker) wave. DSP
evolved as the famous de Broglie-Bohm pilot wave interpretation (PWI) also
known as Bohmian mechanics but the general idea to use solitons guided by a
base wave to reproduce the dynamics of the PWI was abandonned. Here we propose
a nonlinear scalar field theory able to reproduce the PWI for the
Schr\"{o}dinger and Klein-Gordon guiding waves. Our model relies on a
relativistic `phase harmony' condition locking the phases of the solitonic
particle and the guiding wave. We also discuss an extension of the theory for
the $N$ particles cases in presence of entanglement and external (classical)
electromagnectic fields.
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