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Entropy of the Schwarzschild black hole to all orders in the Planck length

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arxiv 0707.2128 v2 pith:VZV76VIU submitted 2007-07-14 gr-qc

Yong-Wan Kim , Young-Jai Park This is my paper · ORCID
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keywords entropyblackfieldholelengthordersplanckscalar
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Considering corrections to all orders in the Planck length on the quantum state density from a generalized uncertainty principle (GUP), we calculate the statistical entropy of the scalar field on the background of the Schwarzschild black hole without any cutoff. We obtain the entropy of the massive scalar field proportional to the horizon area.

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Cited by 1 Pith paper

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  1. Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric

    gr-qc 2025-08 reject novelty 4.0 of 10

    With GUP-modified effective metrics and tuned cutoffs (or tuned GUP parameter), the brick-wall entropy is made to reproduce the Bekenstein-Hawking area law.

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