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arXiv · 2402.17815

Is the Page-time paradox paradoxical?

Bruno Arderucio Costa
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Abstract

I discuss how five reasonably sounding assumptions lead to a dilemma -- the Page-time paradox -- , which appears to challenge a conventional statistical mechanical underpinning of black hole thermodynamics. By inspecting the conceptual subtleties behind each hypothesis, I list questions that require clarification before the puzzle can be deemed paradoxical. I devote particular attention to using thermodynamic arguments for a system that never reaches equilibrium. As a proof of concept, I show that the paradox is absent in a modified setting that admits an equilibrium thermodynamics formulation.

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Bruno Arderucio Costa. 2024-02-27. Is the Page-time paradox paradoxical?. https://doi.org/10.1142/s0218271824410025

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