发表机构
Universidad de La Frontera; Universidad Católica del Norte; Pontificia Universidad Católica de Valparaíso; The National Observatory of Athens; University of Science and Technology of China（拉弗龙特拉大学; 北方天主教大学; 瓦尔帕莱索天主教教廷大学; 雅典国家天文台; 中国科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究揭示黑洞熵的对数修正与多视界面积乘积之间的意外联系，证明经典普适性可自动传递给统计熵，并通过RN、KN及RNdS案例阐明两者本质区别。
AI 中文摘要
黑洞熵与多视界面积乘积关系代表了普适性的两种看似不同的表现，分别源于微观统计和经典几何。我们表明，这些结构出乎意料地相互关联。将最小假设的统计离散化扩展到多个Killing视界，并将不同的视界扇区视为统计独立，我们推导出一个一般的面积乘积规则。特别地，虽然领先的Bekenstein-Hawking熵探测的是视界面积之和，但对数修正探测的则是它们的乘积。因此，每当经典面积乘积与质量无关时，对数熵便自动继承这一普适性。我们针对Reissner-Nordström黑洞以及（在基于面积的扩展到旋转视界的情况下）Kerr-Newman黑洞证明了这一点。然而，Reissner-Nordström-de Sitter提供了一个关键的三视界反例，其中面积乘积规则仍然成立，但对于物理视界而言，质量无关性通常丧失。因此，统计面积乘积选择与经典普适性是不同的性质。我们的结果揭示了微观熵计数与经典多视界几何之间的结构联系，这种联系在领先面积定律的层面上是不可见的，表明对数修正编码了关于全局视界结构的独特信息。
英文摘要
Black-hole entropy and multi-horizon area-product relations represent two apparently distinct manifestations of universality, arising respectively from microscopic statistics and classical geometry. We show that these structures are unexpectedly connected. Extending a minimum-assumptions statistical discretization to multiple Killing horizons, with distinct horizon sectors treated as statistically independent, we derive a general area-product rule. In particular, while the leading Bekenstein-Hawking entropy probes the sum of the horizon areas, the logarithmic correction probes their product. Consequently, whenever the classical area product is mass independent, the logarithmic entropy automatically inherits this universality. We demonstrate this for Reissner-Nordström and, under an area-based extension to rotating horizons, Kerr-Newman black holes. However, Reissner-Nordström-de Sitter provides a crucial three-horizon counterexample, for which the area-product rule survives while mass independence is generically lost for the physical horizons. Thus, statistical area-product selection and classical universality are distinct properties. Our results uncover a structural connection between microscopic entropy counting and classical multi-horizon geometry that is invisible at the level of the leading area law, suggesting that logarithmic corrections encode distinctive information about the global horizon structure.
Comments12 pages
