Deformation principle as foundation of physical geometry and its application to space-time geometry
| dc.creator | Rylov, Yuri A. | |
| dc.date | 2004-11-09 | |
| dc.date | 2004-11-13 | |
| dc.date.accessioned | 2026-07-07T05:53:23Z | |
| dc.date.available | 2026-07-07T05:53:23Z | |
| dc.description | Physical geometry studies mutual disposition of geometrical objects and points in space, or space-time, which is described by the distance function d, or by the world function σ=d^{2}/2. One suggests a new general method of the physical geometry construction. The proper Euclidean geometry is described in terms of its world function σ_E. Any physical geometry G is obtained from the Euclidean geometry as a result of replacement of the Euclidean world function σ_E by the world function σof G. This method is very simple and effective. It introduces a new geometric property: nondegeneracy of geometry. Using this method, one can construct deterministic space-time geometries with primordially stochastic motion of free particles and geometrized particle mass. Such a space-time geometry defined properly (with quantum constant as an attribute of geometry) allows one to explain quantum effects as a result of the statistical description of the stochastic particle motion (without a use of quantum principles). | |
| dc.description | 32 pages, 1 figure, correction of misprints | |
| dc.identifier | https://arxiv.org/abs/physics/0411103 | |
| dc.identifier | http://arxiv.org/abs/physics/0411103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/86625 | |
| dc.subject | General Physics | |
| dc.title | Deformation principle as foundation of physical geometry and its application to space-time geometry | |
| dc.type | text |