dorsal/arxiv
View SchemaQuantum mechanics is a relativity theory
| Authors | Léon Brenig |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608025 |
| URL | https://arxiv.org/abs/quant-ph/0608025 |
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.
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"abstract": "Non-relativistic quantum mechanics is shown to emerge from classical\nmechanics through the requirement of a relativity principle based on special\ntransformations acting on position and momentum uncertainties. These\ntransformations keep the Heisenberg inequalities invariant and form a group.\nThey are related to dilatations of space variables provided the quantum\npotential is added to the classical Hamiltonian functional. The Schr\\\"odinger\nequation appears to have a nonunitary and nonlinear companion acting in another\ntime variable. Evolution in this time seems related to the state vector\nreduction.",
"arxiv_id": "quant-ph/0608025",
"authors": [
"L\u00e9on Brenig"
],
"categories": [
"quant-ph"
],
"title": "Quantum mechanics is a relativity theory",
"url": "https://arxiv.org/abs/quant-ph/0608025"
},
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