Spin and statistics in quantum gravity
| dc.creator | Dowker, H. F. | |
| dc.creator | Sorkin, R. D. | |
| dc.date | 2001-01-11 | |
| dc.date.accessioned | 2026-07-07T03:25:35Z | |
| dc.date.available | 2026-07-07T03:25:35Z | |
| dc.description | We present a review of the spin and statistics of topological geons, particles in 3+1 quantum gravity. They can have half-odd-integral spin and fermionic statistics and since the underlying gravitational field is tensorial and bosonic, this is an example of ``emergent'' non-trivial spin and statistics as displayed by familiar non-gravitating objects such as skyrmions. We give the topological background and show that in a ``canonical'' quantization of gravity there is no spin-statistics correlation for topological geons. Allowing the topology of space to change, for example in a sum-over-histories approach, raises the possibility that a spin-statistics correlation can be recovered for geons. We review a conjectured set of rules powerful enough to give such a spin-statistics correlation for all topological geons. These would appear to rule out the possibility of parastatistics and may rule out spinorial and fermionic geons altogether. | |
| dc.description | 14 pages, 4 figures, LaTeX | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0101042 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0101042 | |
| dc.identifier | Proceedings of the international meeting on ``Spin-statistics connections and commutation relations, experimental tests and theoretical implications,'' Capri, Italy, May 31-June 4, 2000, eds. R.C. Hilborn and G.M. Tino, pp. 205-218 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33769 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Spin and statistics in quantum gravity | |
| dc.type | text |