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Uncertainty principle for the entropy of black holes, de Sitter and Rindler spaces

Published online by Cambridge University Press:  01 August 2006

Tetsuya Hara ,
Keita Sakai ,
Shuhei Kunitomo  and
Daigo Kajiura
Tetsuya Hara
Affiliation:
Department of Physics, Kyoto Sangyo University, Kyoto 603-8555, Japan, emial: hara@cc.kyoto-su.ac.japan
Keita Sakai
Affiliation:
Department of Physics, Kyoto Sangyo University, Kyoto 603-8555, Japan, emial: hara@cc.kyoto-su.ac.japan
Shuhei Kunitomo
Affiliation:
Department of Physics, Kyoto Sangyo University, Kyoto 603-8555, Japan, emial: hara@cc.kyoto-su.ac.japan
Daigo Kajiura
Affiliation:
Department of Physics, Kyoto Sangyo University, Kyoto 603-8555, Japan, emial: hara@cc.kyoto-su.ac.japan
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Abstract

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By a simple physical consideration and uncertain principle, we derive that temperature is proportional to the surface gravity and entropy is proportional to the surface area of the black hole. We apply the same consideration to de Sitter space and estimate the temperature and entropy of the space, then we deduce that the entropy is proportional to the boundary surface area. By the sameconsideration, we estimate the temperature and entropy in the uniformly accelerated system (Rindler space). The cases in higher dimensions are considered.

Keywords

Uncertainty principle – black hole entropy – de Sitter space – Rindler space
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S238: Black Holes from Stars to Galaxies – Across the Range of Masses , August 2006 , pp. 379 - 380
Copyright
Copyright © International Astronomical Union 2007