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  1. A Time-Symmetric Soliton Dynamics à la de Broglie.Aurélien Drezet - 2023 - Foundations of Physics 53 (4):1-36.
    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 (...)
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  • Relativistic Bohmian Trajectories and Klein-Gordon Currents for Spin-0 Particles.M. Alkhateeb & A. Matzkin - 2022 - Foundations of Physics 52 (5):1-13.
    It is generally believed that the de Broglie-Bohm model does not admit a particle interpretation for massive relativistic spin-0 particles, on the basis that particle trajectories cannot be defined. We show this situation is due to the fact that in the standard representation of the Klein-Gordon equation the wavefunction systematically contains superpositions of particle and anti-particle contributions. We argue that by working in a Foldy-Wouthuysen type representation uncoupling the particle from the anti-particle evolutions, a positive conserved density for a particle (...)
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