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Adopting the Uncertainty Principle for the Entropy Estimation of Black Holes, de Sitter Space and Rindler Space

Tetsuya Hara·Keita Sakai·Daigo Kajiura
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Abstract

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 same consideration, we estimate the temperature and entropy in the uniformly accelerated system (Rindler coordinate). The cases in higher dimensions are considered.

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Tetsuya Hara, Keita Sakai, Daigo Kajiura. 2006-08-14. Adopting the Uncertainty Principle for the Entropy Estimation of Black Holes, de Sitter Space and Rindler Space. https://arxiv.org/abs/gr-qc/0608067

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