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The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle

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arxiv 1405.2046 v2 pith:XJ5QCT5C submitted 2014-05-08 hep-th gr-qc

classification hep-thgr-qc
keywords acousticblackentropygeneralizedholeprincipleuncertaintynoncommutative
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abstract

In this paper we investigate statistical entropy of a 3-dimensional rotating acoustic black hole based on generalized uncertainty principle. In our results we obtain an area entropy and a correction term associated with the noncommutative acoustic black hole when $\lambda$ introduced in the generalized uncertainty principle takes a specific value. However, in this method, it is not needed to introduce the ultraviolet cut-off and divergences are eliminated. Moreover, the small mass approximation is not necessary in the original brick-wall model.

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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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