论文标题
统一的形式主义是从热力学的第一定律出现的空间
Unified formalism for the emergence of space from the first law of thermodynamics
论文作者
论文摘要
我们从明显的地平线上的热力学定律中得出了统一的扩张定律，熵进化描述了宇宙空间的出现。该派生推进了表面和批量自由度的一般形式，这为Padmanabhan提出的扩张定律提供了自然的概括。自由度表面程度的一般表达与自然期望不同，$ n_ {sur} = 4s $在重力范围内的紧急重力范式中。该派生还为在原始膨胀法中选择长臂猿温度以及在非燃料FRW宇宙中使用面积的体积提供了理由。由于统一扩展定律仅取决于熵的形式，因此该方法适用于在任何重力理论中获得扩展定律，而无需任何其他临时假设。根据一般扩展定律，我们获得了与不同的重力理论相对应的扩展定律，例如（n+1）爱因斯坦，高斯 - 邦纳特，Lovelock和Horava-lifshitz。我们还从统一扩展法获得了非扩展熵的扩展法。
We derive a unified expansion law for our universe from the first law of thermodynamics on the apparent horizon, where entropic evolution depicts the emergence of cosmic space. The derivation advances a general form for degrees of freedom on the surface and bulk, which provides a natural generalization for the expansion law proposed by Padmanabhan. The general expression for the surface degrees of freedom differs from the natural expectation, $ N_{sur }= 4S $ in the emergent gravity paradigm for general theories of gravity. The derivation also provides justification for the selection of Gibbons-Hawking temperature in the original expansion law and for the use of areal volume in the non-flat FRW universe. Since the unified expansion law exclusively depends on the form of entropy, the method is applicable to obtain the expansion law in any gravity theory without any additional ad hoc assumptions. From the general expansion law, we have obtained the expansion law corresponding to different theories of gravity like (n+1) Einstein, Gauss-Bonnet, Lovelock, and Horava-Lifshitz. We also obtained the expansion law for non-extensive entropy like Tsallis entropy from the unified expansion law.
