An uncertainty relation of space-time

Authors
Citation
N. Sasakura, An uncertainty relation of space-time, PROG T PHYS, 102(1), 1999, pp. 169-179
Citations number
29
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS
ISSN journal
0033068X → ACNP
Volume
102
Issue
1
Year of publication
1999
Pages
169 - 179
Database
ISI
SICI code
0033-068X(199907)102:1<169:AUROS>2.0.ZU;2-9
Abstract
We propose an uncertainty relation of space-time. This relation is characte rized by GhT less than or similar to delta V, where T and delta V denote a characteristic time scale and a spatial volume, respectively. Using this un certainty relation, we give qualitative estimations for the entropies of a black hole and our universe, We obtain qualitative agreements with the know n results. The holographic principle of 't Hooft and Susskind is reproduced . We also discuss cosmology and give a relation to the cosmic holographic p rinciple of Fischler and Susskind. However, as for the maximal entropy of a system with an energy E, we obtain the formula root EV/Gh(2), with V denot ing the volume of the system, which is distinct from the Bekenstein entropy formula ER/h with R denoting the length scale of the system.