Related papers: A time-symmetric soliton dynamics \`a la de Broglie

A time-symmetric soliton dynamics \`a la de Broglie

URL: http://arxiv.org/abs/2207.06809v1
Date: Thu, 14 Jul 2022 10:37:19 GMT
Title: A time-symmetric soliton dynamics \`a la de Broglie
Authors: Aur\'elien Drezet
Abstract summary: We consider explicitly a non-linear Klein-Gordon theory leading to monopolar solitons. We show that the theory is able to reproduce the main results of the pilot-wave interpretation for non interacting particles in an external electromagnetic field.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

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