A time-symmetric soliton dynamics \`a la de Broglie
Quantum Physics
2022-07-15 v1
Abstract
In this work we develop a time-symmetric soliton theory for quantum particles inspired from works by de Broglie and Bohm. We consider explicitly a non-linear Klein-Gordon theory leading to monopolar oscillating solitons. We show that the theory is able to reproduce the main results of the pilot-wave interpretation for non interacting particles in a external electromagnetic field. In this regime, using the time symmetry of the theory, we are also able to explain quantum entanglement between several solitons and we reproduce the famous pilot-wave nonlocality associated with the de Broglie-Bohm theory.
Cite
@article{arxiv.2207.06809,
title = {A time-symmetric soliton dynamics \`a la de Broglie},
author = {Aurélien Drezet},
journal= {arXiv preprint arXiv:2207.06809},
year = {2022}
}
Comments
Submitted for publication