扩展广义不确定性原理对五维爱因斯坦-高斯-博内黑洞热力学的修正
Extended Generalized Uncertainty Principle Corrections to Five Dimensional Einstein Gauss Bonnet Black Hole Thermodynamics
- Istanbul University（伊斯坦布尔大学）
- University of Hradec Králové（赫拉德茨克拉洛韦大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究在扩展广义不确定性原理下分析五维爱因斯坦-高斯-博内黑洞热力学，推导熵、热容和自由能，揭示EGUP对温度与视界结构的影响及修正。GUP修正爱因斯坦引力极限中持续存在。
AI中文摘要：
我们在扩展广义不确定性原理（EGUP）框架下研究了渐近平坦的五维爱因斯坦-高斯-博内黑洞的热力学。几何依赖的局域化尺度通过要求未变形关系再现表面引力温度来确定。所得表达式一致地恢复了GUP、EUP和半经典极限，同时对最小长度和最小动量参数施加了联合约束。由于有效局域化尺度的非单调行为，实在性条件通常不会产生唯一的最小视界半径。根据参数值，允许域可能保持连通、形成退化的临界半径，或分裂为两个不连通的支。我们推导了熵、热容和亥姆霍兹自由能，并数值分析了它们的行为。高斯-博内耦合移动并抑制了近视界温度最大值，而EUP扇区在半径较大处诱导出温度最小值，随后呈线性增长。在两支区域，外端点表现出有限温度和消失的热容，但从局部不稳定侧接近，因此应被解释为极限热力学构型而非动态建立的残余。最后，我们证明微扰熵在大半径处偏离精确结果，且领先的GUP熵修正爱因斯坦引力极限中持续存在。
英文摘要：
We study the thermodynamics of asymptotically flat five dimensional Einstein Gauss Bonnet black holes within the framework of the extended generalized uncertainty principle (EGUP). The geometry dependent localization scale is fixed by requiring the undeformed relation to reproduce the surface gravity temperature. The resulting expression consistently recovers the GUP, EUP, and semiclassical limits, while imposing a joint constraint on the minimum length and minimum momentum parameters. Due to the nonmonotonic behavior of the effective localization scale, the reality condition does not generically yield a unique minimum horizon radius. Depending on the parameter values, the admissible domain may remain connected, develop a degenerate critical radius, or split into two disconnected branches. We derive the entropy, heat capacity, and Helmholtz free energy, and analyze their behavior numerically. The Gauss Bonnet coupling shifts and suppresses the near horizon temperature maximum, whereas the EUP sector induces a temperature minimum followed by linear growth at large radius. In the two branch regime, the outer endpoint exhibits finite temperature and vanishing heat capacity but is approached from the locally unstable side, and should therefore be interpreted as a limiting thermodynamic configuration rather than a dynamically established remnant. Finally, we show that the perturbative entropy deviates from the exact result at large radius, and that the leading GUP entropy correction persists in the Einstein gravity limit.
