A relativistic gauge theory of nonlinear quantum mechanics and Newtonian gravity
| dc.creator | Elze, Hans-Thomas | |
| dc.date | 2007-04-20 | |
| dc.date.accessioned | 2026-07-07T11:20:20Z | |
| dc.date.available | 2026-07-07T11:20:20Z | |
| dc.description | A new kind of gauge theory is introduced, where the minimal coupling and corresponding covariant derivatives are defined in the space of functions pertaining to the functional Schroedinger picture of a given field theory. While, for simplicity, we study the example of a U(1) symmetry, this kind of gauge theory can accommodate other symmetries as well. We consider the resulting relativistic nonlinear extension of quantum mechanics and show that it incorporates gravity in the (0+1)-dimensional limit, similar to recently studied Schroedinger-Newton equations. Gravity is encoded here into a universal nonlinear extension of quantum theory. A probabilistic interpretation (Born's rule) holds, provided the underlying model is scale free. Keywords: nonlinear functional Schroedinger equation, gauge symmetry, Newtonian gravity. | |
| dc.description | 16 pages; to appear in Int. J. Theor. Phys. (2007) | |
| dc.identifier | https://arxiv.org/abs/0704.2683 | |
| dc.identifier | http://arxiv.org/abs/0704.2683 | |
| dc.identifier | Int.J.Theor.Phys.47:455-467,2008 | |
| dc.identifier | doi:10.1007/s10773-007-9471-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193930 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Physics | |
| dc.title | A relativistic gauge theory of nonlinear quantum mechanics and Newtonian gravity | |
| dc.type | text |