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Entropy of 2+1 de Sitter space with the GUP

Wontae Kim, Yong-Wan Kim, Young-Jai Park

gr-qcarXiv:gr-qc/0604065

Abstract

By introducing the generalized uncertainty principle (GUP) on the quantum state density, we calculate the statistical entropy of a scalar field on the background of (2+1)-dimensional de Sitter space without artificial cutoff. The desired entropy proportional to the horizon perimeter is obtained.

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