On the fundamental length of quantum geometry and the black hole entropy
| dc.creator | Rainer, M. | |
| dc.date | 1999-03-24 | |
| dc.date | 1999-05-17 | |
| dc.date.accessioned | 2026-07-07T03:33:05Z | |
| dc.date.available | 2026-07-07T03:33:05Z | |
| dc.description | The geometric operators of area, volume, and length, depend on a fundamental length l of quantum geometry which is a priori arbitrary rather than equal to the Planck length l_P. The fundamental length l and the Immirzi parameter $γ$ determine each other. With any l the entropy formula is rendered most naturally in units of the length gap sqrt{{sqrt 3}/2} (sqrt{gamma} l). Independently of the choice of l, the black hole entropy derived from quantum geometry in the limit of classical geometry is completely consistent with the Bekenstein-Hawking form. The extremal limit of 1-puncture states of the quantum surface geometry corresponds rather to an extremal string than to a classical horizon. | |
| dc.description | 4 pages compact revtex format, few sentences straightened | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9903091 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9903091 | |
| dc.identifier | Grav.Cosmol. 6 (2000) 181-184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36480 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On the fundamental length of quantum geometry and the black hole entropy | |
| dc.type | text |