An Uncertainty Relation of Space-Time

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概要

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• We propose an uncertainty relation of space-time. This relation is characterized by Gh^^-T IsimδV, 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 √<EV/G&plank;^2>, with V denoting the volume of the system, which is distinct from the Bekenstein entropy formula ER/&plank; with R denoting the length scale of the system.

• 理論物理学刊行会の論文
• 1999-07-25

著者

• SASAKURA Naoki

  Department of Physics, Kyoto University

• Sasakura N

  Kyoto Univ. Kyoto Jpn

• Sasakura Naoki

  Department Of Physics Kyoto University

関連論文

• M-Theory Description of 1/4 BPS States in Ν = 4 Supersymmetric Yang-Mills Theory : Particles and Fields
• An Uncertainty Relation of Space-Time
• String Junction and 1/4 BPS State in N = 4 SYM Theory
• Exact Three-Dimensional Lattice Gravities
• A Note on String Field Theory in the Temporal Gauge

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