We propose that the spectrum of the surface area of the apparent horizon (AH) of de Sitter (dS) spacetime leads to corrected temperature and entropy of the dS spacetime, offering new insights into its thermodynamic properties. This is done by employing the spectrum of the AH radius, acquired from the Wheeler–DeWitt (WDW) equation, together with the Stefan–Boltzmann law, the time-energy uncertainty relation, and the unified first law of thermodynamics.

中文翻译：

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德西特空间的全息真空能量正则化和修正熵


我们提出，德西特 (dS) 时空的表观视界 (AH) 表面积谱可以修正 dS 时空的温度和熵，从而为其热力学性质提供新的见解。这是通过利用从惠勒-德威特 (WDW) 方程获得的 AH 半径谱、斯蒂芬-玻尔兹曼定律、时间-能量不确定性关系和统一的热力学第一定律来完成的。