Transformations of units and world's geometry
| dc.creator | Quiros, Israel | |
| dc.date | 2000-04-05 | |
| dc.date | 2000-10-19 | |
| dc.date.accessioned | 2026-07-07T03:24:51Z | |
| dc.date.available | 2026-07-07T03:24:51Z | |
| dc.description | The issue of the transformations of units is treated, mainly, in a geometrical context. It is shown that Weyl-integrable geometry is a consistent framework for the formulation of the gravitational laws since the basic law on which this geometry rests is invariant under point-dependent transformations of units. Riemann geometry does not fulfill this requirement. Spacetime singularities are then shown to be a consequence of a wrong choice of the geometrical formulation of the laws of gravitation. This result is discussed, in particular, for the Schwrazschild black hole and for Friedmann-Robertson-Walker cosmology. Arguments are given that point at Weyl-integrable geometry as a geometry implicitly containing the quantum effects of matter. The notion of geometrical relativity is presented. This notion may represent a natural extension of general relativity to include invariance under the group of units transformations. | |
| dc.description | 30 pages, Revtex, no figures. New material and references added | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0004014 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0004014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33498 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Transformations of units and world's geometry | |
| dc.type | text |