Quasi-Local Microcell Dynamics on the Stretched Horizon and Exact Bekenstein-Hawking Entropy

We present a quasi-local, horizon-compatible microphysical model of black hole entropy based on a Planck-thick stretched horizon located at ℓ P outside the true null surface. The horizon is discretised into A/4ℓ 2 P microcells, each with degeneracy g = e, giving an exact reproduction of the Bekenstein-Hawking entropy S = A/4ℓ 2 P without subleading corrections. Each cell supports a damped scalar degree of freedom whose spectrum approaches the classical quasinormal mode (QNM) continuum in the limit of vanishing proper separation from the true horizon. The stretched horizon acts as a timelike information reservoir enabling unitary transfer between infalling and outgoing modes without firewalls or remnants. Mutual-information growth is shown to match Page-time expectations t Page ∼ M 3 , and extensions to Kerr and Reissner-Nordström geometries are derived using exact surface gravity. Holographic interpretations and experimentally accessible signatures in ringdown spectra are discussed.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-26
DOI
https://doi.org/10.5281/zenodo.17723059
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Quasi-Local Microcell Dynamics on the Stretched Horizon and Exact Bekenstein-Hawking Entropy

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
article

Quasi-Local Microcell Dynamics on the Stretched Horizon and Exact Bekenstein-Hawking Entropy

article en

Abstract

We present a quasi-local, horizon-compatible microphysical model of black hole entropy based on a Planck-thick stretched horizon located at ℓ P outside the true null surface. The horizon is discretised into A/4ℓ 2 P microcells, each with degeneracy g = e, giving an exact reproduction of the Bekenstein-Hawking entropy S = A/4ℓ 2 P without subleading corrections. Each cell supports a damped scalar degree of freedom whose spectrum approaches the classical quasinormal mode (QNM) continuum in the limit of vanishing proper separation from the true horizon. The stretched horizon acts as a timelike information reservoir enabling unitary transfer between infalling and outgoing modes without firewalls or remnants. Mutual-information growth is shown to match Page-time expectations t Page ∼ M 3 , and extensions to Kerr and Reissner-Nordström geometries are derived using exact surface gravity. Holographic interpretations and experimentally accessible signatures in ringdown spectra are discussed.

Zenodo (CERN European Organization for Nuclear Research)
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