An Uncertainty Relation of Space-Time
| dc.creator | Sasakura, N. | |
| dc.date | 1999-03-17 | |
| dc.date | 1999-06-15 | |
| dc.date.accessioned | 2026-07-07T10:54:02Z | |
| dc.date.available | 2026-07-07T10:54:02Z | |
| dc.description | We propose an uncertainty relation of space-time. This relation is characterized by GhT \lesssim δV, where T and δV denote a characteristic time scale and a spatial volume, respectively. Using this uncertainty relation, we give qualitative estimations for the entropies of a black hole and our universe. We obtain qualitative agreements with the known results. The holographic principle of 't Hooft and Susskind is reproduced. We also discuss cosmology and give a relation to the cosmic holographic principle of Fischler and Susskind. However, as for the maximal entropy of a system with an energy E, we obtain the formula \sqrt{EV/Gh^2}, with V denoting the volume of the system, which is distinct from the Bekenstein entropy formula ER/h with R denoting the length scale of the system. | |
| dc.description | 13 pages, Journal Version, PTPTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9903146 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9903146 | |
| dc.identifier | Prog.Theor.Phys.102:169-179,1999 | |
| dc.identifier | doi:10.1143/PTP.102.169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185684 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | An Uncertainty Relation of Space-Time | |
| dc.type | text |