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Black holes have more states than those giving the Bekenstein-Hawking entropy: a simple argument

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arxiv 1710.00218 v2 pith:HAN34FUB submitted 2017-09-30 gr-qc hep-th

Carlo Rovelli This is my paper · ORCID
classification gr-qchep-th
keywords numberstatesargumentbekenstein-hawkingblackentropyholesimple
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abstract

It is often assumed that the maximum number of independent states a black hole may contain is $N_{BH}=e^{S_{BH}}$, where $S_{BH}=A/4$ is the Bekenstein-Hawking entropy and $A$ the horizon area in Planck units. I present a simple and straightforward argument showing that the number of states that can be distinguished by local observers inside the hole must be greater than this number.

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Cited by 1 Pith paper

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  1. Evolution of interior entropy of a loop quantum-corrected black hole pierced by a cosmic string

    gr-qc 2024-12 conditional novelty 4.0 of 10

    For a large-mass loop-quantum-corrected black hole pierced by a cosmic string, the paper derives the evolution relation between interior entropy and Bekenstein-Hawking entropy and shows the total satisfies the second law.

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