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Empty Black Holes, Firewalls, and the Origin of Bekenstein-Hawking Entropy

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arxiv 1212.4176 v2 pith:RGWAV3IW submitted 2012-12-17 hep-th astro-ph.HEgr-qc

classification hep-thastro-ph.HEgr-qc
keywords blackholeentropyeventhawkingholeshorizonsradiation
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abstract

We propose a novel solution for the endpoint of gravitational collapse, in which spacetime ends (and is orbifolded) at a microscopic distance from black hole event horizons. This model is motivated by the emergence of singular event horizons in the gravitational aether theory, a semi-classical solution to the cosmological constant problem(s), and thus suggests a catastrophic breakdown of general relativity close to black hole event horizons. A similar picture emerges in fuzzball models of black holes in string theory, as well as the recent firewall proposal to resolve the information paradox. We then demonstrate that positing a surface fluid in thermal equilibrium with Hawking radiation, with vanishing energy density (but non-vanishing pressure) at the new boundary of spacetime, which is required by Israel junction conditions, yields a thermodynamic entropy that is identical to the Bekenstein-Hawking area law, $S_{BH}$, for charged rotating black holes. To our knowledge, this is the first derivation of black hole entropy which only employs local thermodynamics. Furthermore, a model for the microscopic degrees of freedom of the surface fluid (which constitute the micro-states of the black hole) is suggested, which has a finite, but Lorentz-violating, quantum field theory. Finally, we comment on the effects of physical boundary on Hawking radiation, and show that relaxing the assumption of equilibrium with Hawking radiation sets $S_{BH}$ as an upper limit for Black Hole entropy.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Waveform stability of black hole ringdown with stochastic horizon structure

    gr-qc 2026-02 conditional novelty 6.0 of 10

    Ringdown waveforms are robust against small-scale stochastic horizon fluctuations; only coherent, macroscopic horizon structure with ε≳10^-4 and L_c∼M could produce observable deviations.

  2. Black Shell Thermodynamics

    hep-th 2025-06 conditional novelty 6.0 of 10

    Assuming black shells exist, their AdS thermodynamics produce a phase diagram where a black-shell phase intervenes between thermal AdS and black holes, splitting the Hawking-Page transition.

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