AI 中文总结
研究正则史瓦西黑洞中闵可夫斯基破裂的熵释放，利用含德西特核心的黑洞族，揭示其热力学印记，表明内视界有隐藏熵，随坍缩参数\(n\)变化而释放，还讨论了对质量膨胀不稳定性的规避及坍缩性质。
AI 中文摘要
最近研究表明，在广义相对论中，由正则、非奇异构型经典形成史瓦西黑洞是不可能的：几何结构在原点不可避免地出现不连续性，被奥瓦列、卡萨迪奥和卡梅什奇克称为闵可夫斯基破裂。这种阻碍表明向史瓦西点质量的转变必定是一个离散的量子事件。我们揭示了此转变的热力学印记。利用具有德西特核心的正则史瓦西黑洞的显式族，我们表明内 Killing 视界携带形式上的贝肯斯坦 - 霍金熵\(S_{\rm inner} = A_{\rm inner}/4\)，这在奇异史瓦西状态中不存在。该熵在平衡时对外部观察者是隐藏的，但假设广义第二定律，当内视界消失时必须释放。随着坍缩参数\(n\)减小，内视界收缩，其熵在经典演化过程中逐渐释放，直到\(n = 0\)时闵可夫斯基破裂，视界最终消失。表面引力在\(n\to0^+\)时发散，半经典描述在\(n \sim 1/\ln(h/\ell_P)\)时失效；因此最终消失是一个深度量子过程。对于\(n = 3\)的正则黑洞，存储的熵约为\(A/4\)的\(59\%\)；在半经典极限\(n\gg1\)时，它接近完整的\(A/4\)。\(n\)的整数性质意味着熵谱是量子化的，史瓦西黑洞是 OCK 族中的基态。我们讨论了柯西视界的量子消失如何规避经典质量膨胀不稳定性，并阐明了坍缩的连续与离散性质。
英文摘要
The classical formation of a Schwarzschild black hole from a regular, non-singular configuration has recently been shown to be impossible within general relativity: the geometry inevitably develops a discontinuity at the origin, a phenomenon termed Minkowski breaking by Ovalle, Casadio, and Kamenshchik [PRD 113 (2026), 064042]. This obstruction signals that the transition to the Schwarzschild point mass must be a discrete, quantum event. We uncover the thermodynamic footprint of this transition. Using the explicit family of regular Schwarzschild black holes with a de Sitter core, we show that the inner Killing horizon carries a formal Bekenstein-Hawking entropy $S_{\rm inner} = A_{\rm inner}/4$ that is absent in the singular Schwarzschild state. This entropy is hidden from external observers in equilibrium but, assuming the generalized second law, must be released when the inner horizon disappears. As the collapse parameter $n$ decreases, the inner horizon shrinks and its entropy is gradually released during classical evolution, until the horizon finally vanishes at $n=0$ with the Minkowski breaking. The surface gravity diverges as $n\to0^+$, with the semiclassical description breaking down at $n \sim 1/\ln(h/\ell_P)$; the final disappearance is therefore a deep quantum process. For the $n=3$ regular black hole, the stored entropy is approximately $59\%$ of $A/4$; in the semiclassical limit $n\gg1$, it approaches the full $A/4$. The integer nature of $n$ implies a quantized entropy spectrum, with the Schwarzschild black hole as the ground state within the OCK family. We discuss how the classical mass-inflation instability may be circumvented by the quantum disappearance of the Cauchy horizon, and clarify the continuous vs. discrete nature of the collapse.
Comments11 pages, 1 figure
