On state sums, internalisation and unification
| dc.creator | Sheppeard, M. D. | |
| dc.date | 2004-04-29 | |
| dc.date | 2004-05-06 | |
| dc.date.accessioned | 2026-07-07T03:28:38Z | |
| dc.date.available | 2026-07-07T03:28:38Z | |
| dc.description | In this mostly expository article, elements of higher category theory essential to the construction of a class of four dimensional quantum geometric models are reviewed. These models improve current state sum models for Quantum Gravity, such as the Barrett-Crane model, in that they appear, for instance, to remove degeneracies which swamp the partition function. Much work remains to be done before a complete construction is reached, but the crucial categorical notion of internalisation already illuminates the idea that a full unified model may result from few, albeit as yet poorly understood, additional principles. In particular, a spacetime and matter duality principle is employed through an understanding of the role of pseudomonoidal objects in categorified cohomology. | |
| dc.description | This paper has been withdrawn by the author due to its speculative nature | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0404121 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0404121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34908 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On state sums, internalisation and unification | |
| dc.type | text |