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.
Entropy of a charged black hole in two dimensions without cutoff
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abstract
By introducing the generalized uncertainty principle (GUP) on quantum density states, we newly obtain a consistent entropy of a scalar field on the (1+1)-dimensional Maxwell-dilaton background without an artificial cutoff in contrast to the results of the brick wall model, which depend on the choice of the Hawking temperature for the extremal case.
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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.