Is quantum mechanics based on an invariance principle?
| dc.creator | Brenig, Leon | |
| dc.date | 2006-10-27 | |
| dc.date | 2007-04-27 | |
| dc.date.accessioned | 2026-07-07T10:24:37Z | |
| dc.date.available | 2026-07-07T10:24:37Z | |
| dc.description | Non-relativistic quantum mechanics for a free particle is shown to emerge from classical mechanics through an invariance principle under transformations that preserve the Heisenberg position-momentum inequality. These transformations are induced by isotropic space dilations. This invariance imposes a change in the laws of classical mechanics that exactly corresponds to the transition to quantum mechanics. The Schroedinger equation appears jointly with a second nonlinear equation describing non-unitary processes. Unitary and non-unitary evolutions are exclusive and appear sequentially in time. The non-unitary equation admits solutions that seem to correspond to the collapse of the wave function. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0610142 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0610142 | |
| dc.identifier | J.Phys.A40:4567-4584,2007 | |
| dc.identifier | doi:10.1088/1751-8113/40/17/012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/176254 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Is quantum mechanics based on an invariance principle? | |
| dc.type | text |