发表机构
St. Albert’s College; Bharata Mata College; Cochin University of Science and Technology（圣阿尔伯特学院; 巴拉塔玛塔学院; 科钦科技大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究探究爱因斯坦引力外的引力理论中宇宙学视界的热能涨落，发现渐近德西特极限下视界能量涨落稳定为常数，确立了宇宙演化平衡终态的统一热力学图景。
AI 中文摘要
我们在正则系综框架内研究宇宙学视界的热能涨落，将视界视为具有温度和熵的热力学系统。分析针对一类引力理论开展，包括(n+1)维爱因斯坦引力、高斯-博内（Gauss-Bonnet）引力、洛夫洛克（Lovelock）引力，以及包含量子修正熵的模型。我们发现，在渐近德西特极限下，视界能量涨落稳定为常数，与基础引力理论无关，且对高阶曲率和量子修正具有鲁棒性。值得注意的是，在最终的德西特状态下，宇宙满足全息均分条件，因此视界熵达到最大常数值，如同普通宏观系统。这些发现建立了统一的热力学图景：熵最大化、全息均分及能量涨落抑制共同表征渐近德西特宇宙，成为宇宙演化的平衡终态。
英文摘要
We study thermal energy fluctuations of cosmological horizons within the canonical ensemble framework, treating the horizon as a thermodynamic system characterized by temperature and entropy. The analysis is performed for a class of gravitational theories, including (n+1)-dimensional Einstein gravity, Gauss-Bonnet gravity, Lovelock gravity, and models incorporating quantum deformed entropy corrections. We find that horizon energy fluctuations stabilize to a constant value in the asymptotic de Sitter limit, independent of the underlying gravity theory and robust against higher-curvature and quantum corrections. It is worth mentioning that in its final de Sitter state, the universe obeys holographic equipartition condition and in consequence the horizon entropy attains a maximum constant value, just like an ordinary macroscopic system. These findings establish a unified thermodynamic picture in which entropy maximization, holographic equipartition, and the suppression of energy fluctuations collectively characterize the asymptotic de Sitter universe as the equilibrium end state of cosmic evolution.
Comments13 pages
