Page 时间悖论是否悖论？
Is the Page-time paradox paradoxical?
AI总结：
本文剖析 Page 时间悖论的五项假设及其概念问题，指出非平衡系统误用热力学论证是关键，并以可表述平衡热力学的修正设定证明悖论可消失。
摘要：
我讨论了五个听起来合理的假设如何导致一个困境——Page 时间悖论，它似乎对黑洞热力学的传统统计力学基础构成挑战。通过考察每个假设背后的概念微妙之处，我列出了在该难题能被视为悖论之前需要澄清的问题。我特别关注如何对一个永远不会达到平衡的系统使用热力学论证。作为概念验证，我表明在一个允许平衡热力学表述的修正设定中，该悖论并不存在。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
