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Soliton model of atom

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Foundations of Physics 25 (12):1723-1731 (1995)

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  1. Superrelativity as an element of a final theory.P. Leifer - 1997 - Foundations of Physics 27 (2):261-285.
    The ordinary quantum theory points out that general relativity (GR) is negligible for spatial distances up to the Planck scale lP=(hG/c3)1/2∼10−33cm. Consistency in the foundations of the quantum theory requires a “soft” spacetime structure of the GR at essentially longer length. However, for some reasons this appears to be not enough. A new framework (“superrelativity”) for the desirable generalization of the foundation of quantum theory is proposed. A generalized nonlinear Klein-Gordon equation has been derived in order to shape a stable (...)
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  • 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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