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Quantum mechanics is a relativity theory

Léon Brenig
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Abstract

Non-relativistic quantum mechanics is shown to emerge from classical mechanics through the requirement of a relativity principle based on special transformations acting on position and momentum uncertainties. These transformations keep the Heisenberg inequalities invariant and form a group. They are related to dilatations of space variables provided the quantum potential is added to the classical Hamiltonian functional. The Schrödinger equation appears to have a nonunitary and nonlinear companion acting in another time variable. Evolution in this time seems related to the state vector reduction.

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Léon Brenig. 2006-08-02. Quantum mechanics is a relativity theory. https://arxiv.org/abs/quant-ph/0608025

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