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Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing

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arxiv gr-qc/0611004 v1 pith:KJE67ZA3 submitted 2006-11-01 gr-qc astro-phcond-mat.stat-mechhep-thnucl-thquant-ph

classification gr-qcastro-phcond-mat.stat-mechhep-thnucl-thquant-ph
keywords relaxationboundblackholessystemtheoryuniversalactually
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abstract

From information theory and thermodynamic considerations a universal bound on the relaxation time $\tau$ of a perturbed system is inferred, $\tau \geq \hbar/\pi T$, where $T$ is the system's temperature. We prove that black holes comply with the bound; in fact they actually {\it saturate} it. Thus, when judged by their relaxation properties, black holes are the most extreme objects in nature, having the maximum relaxation rate which is allowed by quantum theory.

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Cited by 3 Pith papers

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

  1. Black Hole Photon Rings Saturate the Quantum Chaos Bound

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Photon rings around black holes saturate the quantum chaos bound via Lyapunov exponents of null geodesics and OTOCs in the near-ring region.

  2. Echoes of a hairy black hole from gravitational decoupling

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    Axial perturbations of a gravitationally decoupled hairy black hole develop a double-peak potential that dynamically generates echo-like late-time waveforms in a suitable (α, β) region.

  3. Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes

    gr-qc 2025-05 conditional novelty 4.0 of 10

    The minimum orbital period of circular lightlike orbits around Hayward and Bardeen regular black holes satisfies the conjectured bounds, supporting the horizon's role over the singularity.

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