Algebraic approach to quantum gravity III: noncommmutative Riemannian geometry
| dc.creator | Majid, S. | |
| dc.date | 2006-04-19 | |
| dc.date.accessioned | 2026-07-07T07:10:15Z | |
| dc.date.available | 2026-07-07T07:10:15Z | |
| dc.description | This is a self-contained introduction to quantum Riemannian geometry based on quantum groups as frame groups, and its proposed role in quantum gravity. Much of the article is about the generalisation of classical Riemannian geometry that arises naturally as the classical limit; a theory with nonsymmetric metric and a skew version of metric compatibilty. Meanwhile, in quantum gravity a key ingredient of our approach is the proposal that the differential structure of spacetime is something that itself must be summed over or `quantised' as a physical degree of freedom. We illustrate such a scheme for quantum gravity on small finite sets. | |
| dc.description | 25 pages, 1 .eps figure, to appear in collection B. Fauser and J. Tolksdorf, eds., Birkhauser | |
| dc.identifier | https://arxiv.org/abs/hep-th/0604132 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0604132 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111366 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Quantum Algebra | |
| dc.title | Algebraic approach to quantum gravity III: noncommmutative Riemannian geometry | |
| dc.type | text |