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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