发表机构
Indian Association for the Cultivation of Science（印度科学文化研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究通过双黑洞合并引力波数据，结合相关理论，用Wald熵函数形式约束经典F(R)引力黑洞面积公式修正，引入绝对一致性概念，还考虑量子广义相对论修正，对基本粒子谱参数产生显著限制。
AI 中文摘要
本文通过分析双黑洞合并的引力波数据，对黑洞熵的贝肯斯坦-霍金面积公式的可能修正进行约束。LVK联盟对引力波数据的最新分析似乎在5σ精度上证实了黑洞的霍金面积定理。结合贝肯斯坦的黑洞熵思想和广义热力学第二定律，利用Wald熵函数形式，对经典F(R)引力中大型视界面积球形黑洞解的主要逆面积修正进行约束。引入“绝对一致性”概念并与“相对一致性”对比来实施观测约束，该准则显示与F(R)引力的一些参数相关。接着考虑量子广义相对论对面积公式的主要修正，来自无扰动无物质的圈量子引力和依赖物质的微扰纠缠熵方法。结合两种方法中对大视界面积的主要对数修正，并与面积定理的观测验证保持绝对一致，这对超出标准模型的基本粒子谱的自旋和种类数产生显著限制，其中一些常被认为是暗物质候选者。
英文摘要
This contribution considers constraints from analyses of gravitational wave data from binary black hole coalescence, on possible corrections to the Bekenstein-Hawking Area Formula for black hole entropy. Most recent analyses of gravitational wave data from the LVK Consortium appear to confirm the Hawking Area Theorem for black holes at a $5 σ$ accuracy, for the `loudest' signal (SNR of the order of $80$) of binary black hole merger inherent in the recent observation GW250114. Amalgamating this result with Bekenstein's ideas of black hole entropy and the generalized second law of thermodynamics, we constrain leading inverse area corrections for large horizon area spherical black hole solutions of classical $F(R)$ gravity, using the Wald entropy function formalism. The implementation of the observational constraints entails the notion of `absolute consistency' which we introduce and contrast with `relative consistency'. This absolute consistency criterion is shown to relate some of the parameters of $F(R)$ gravity. Next we consider leading quantum general relativistic corrections to the Area formula, arising both from the non-perturbative matter-free Loop Quantum Gravity and matter-dependent, perturbative Entanglement entropy approaches. Combining the leading logarithmic corrections in horizon area (for large areas) from both approaches, and imposing absolute consistency with the observational validation of the Area Theorem, is shown to lead to significant restrictions on the spin and number of species of Beyond Standard Model spectrum of elementary particles, some of which are often assumed to be Dark Matter candidates.
Comments22 pages pdflatex with 7 figures, contribution to the centenary volume of Indian Journal of Physics
