A Geometric Approach to the Quantum Mechanics of de Broglie and Vigier

Details A Geometric Approach to the Quantum Mechanics of de Broglie and Vigier A Geometric Approach to the Quantum Mechanics of de Broglie and Vigier

1996-12-16

arxiv.org/abs/gr-qc/9612042v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, Latex, to be published in the "The Present Status of the Quantum Theory of Light", proc. of symposium in honour of J

Scientific paper

Following de Broglie and Vigier, a fully relativistic causal interpretation of quantum mechanics is given within the context of a geometric theory of gravitation and electromagnetism. While the geometric model shares the essential principles of the causal interpretation initiated by de Broglie and advanced by Vigier, the particle and wave components of the theory are derived from the Einstein equations rather than a nonlinear wave equation. This geometric approach leads to several new features, including a solution to the de Broglie variable mass problem.

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