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.
To address this, we introduce the invariant distance given by linv = ∫ rH +hS rH dr√ f(r) ≃ 2 √ 2MhS
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Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
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.