AI 中文总结
该研究基于广义不确定原理（GUP）分析黑洞并合的熵平衡，推导了与引力波效率和质量比相关的广义熵变化，得到约束引力波最大能量发射的量子修正熵界，发现近等质量并合对量子引力效应更敏感。
AI 中文摘要
我们在由广义不确定原理（Generalized Uncertainty Principle, GUP）描述的量子引力修正存在的情况下，研究黑洞并合的熵平衡。聚焦于两个不等质量的无自旋史瓦西黑洞的并合，我们分析从初始双体系统到最终并合残余体的热力学演化，明确考虑通过引力波发射的能量损失。利用由二次型GUP启发的对数修正熵，我们推导了广义熵变化，其为引力波效率和并合组分质量比的函数。在适当极限下可恢复经典面积定理，而GUP修正引入了量子修正的熵界，该界约束了允许的最大引力波能量发射。此界在近等质量并合时最为严格，表明对称系统对量子引力效应的敏感性增强。
英文摘要
We examine the entropy balance of black hole mergers in the presence of quantum gravity corrections described by the Generalized Uncertainty Principle (GUP). Focusing on the coalescence of two non-spinning Schwarzschild black holes with unequal masses, we analyze the thermodynamic evolution from the initial binary system to the final merger remnant, explicitly accounting for energy loss through gravitational-wave emission. Using a logarithmically corrected entropy motivated by a quadratic GUP, we derive a generalized entropy change as a function of the gravitational-wave efficiency and the mass ratio of the merging components. The classical area theorem is recovered in the appropriate limit, while the GUP correction introduces a quantum-modified entropy bound that constrains the maximum allowed gravitational-wave energy emission. This bound is most restrictive for nearly equal-mass mergers, indicating an enhanced sensitivity of symmetric systems to quantum gravity effects.
DOI：10.22201/ia.30618649e.2026.62.02.7526
