Normal Biconformal Spaces
| dc.creator | Wheeler, James T. | |
| dc.date | 1997-06-29 | |
| dc.date.accessioned | 2026-07-07T04:23:25Z | |
| dc.date.available | 2026-07-07T04:23:25Z | |
| dc.description | A new 8-dimensional conformal gauging avoids the unphysical size change, third order gravitational field equations, and auxiliary fields that prevent taking the conformal group as a fundamental symmetry. We give the structure equations, gauge transformations and intrinsic metric structure for the new biconformal spaces. We prove that a torsion-free biconformal space with exact Weyl form, closed dilational curvature and trace-free spacetime curvature admits a sub-bundle of vanishing Weyl form homeomorphic to the Whitney sum bundle of the tangent bundle and the bundle of orthonormal Lorentz frames over 4-dimensional spacetime. Conversely, any 4-dimensional spacetime extends uniquely to such a normal biconformal space. The Einstein equation holds if and only if the biconformal basis is orthonormal. Unconstrained antisymmetric trace of the spacetime curvature provides a closed 2-form, independent of the Weyl vector, consistently interpretable as the electromagnetic field. The trace of the spacetime co-torsion decouples from gravitational sources and serves as electromagnetic source. | |
| dc.description | 32 pages, plain TeX, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9706215 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9706215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55022 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Normal Biconformal Spaces | |
| dc.type | text |