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arxiv: gr-qc/0611004 · v1 · submitted 2006-11-01 · 🌀 gr-qc · astro-ph· cond-mat.stat-mech· hep-th· nucl-th· quant-ph

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

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classification 🌀 gr-qc astro-phcond-mat.stat-mechhep-thnucl-thquant-ph
keywords relaxationboundblackholessystemtheoryuniversalactually
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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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