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The Fourth Law of Black Hole Thermodynamics

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arxiv gr-qc/9306014 v1 pith:DDTKOWNQ submitted 1993-06-10 gr-qc astro-phhep-th

classification gr-qcastro-phhep-th
keywords criticalblackexponentslawsscalingtransitionsarisingbriefly
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We show that black holes fulfill the scaling laws arising in critical transitions. In particular, we find that in the transition from negative to positive values the heat capacities $C_{JQ}$, $C_{\Omega Q}$ and $C_{J\Phi}$ give rise to critical exponents satisfying the scaling laws. The three transitions have the same critical exponents as predicted by the universality Hypothesis. We also briefly discuss the implications of this result with regards to the connections among gravitation, quantum mechanics and statistical physics.

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Cited by 1 Pith paper

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  1. Extended thermodynamical topology of black hole

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    The paper introduces a unified extended thermodynamical topology framework for black holes and claims a correspondence between zeros of higher-order vector fields and critical exponents.

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