Quantum mechanics is a relativity theory
Quantum Physics
2007-05-23 v1
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 Schr\"odinger 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.
Cite
@article{arxiv.quant-ph/0608025,
title = {Quantum mechanics is a relativity theory},
author = {Léon Brenig},
journal= {arXiv preprint arXiv:quant-ph/0608025},
year = {2007}
}
Comments
submitted to Physical Review Letters