论文标题
地平线热力学和宇宙学方程：宇宙学上的恒温量与大量的恒温数之间的全息样子连接
Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
论文作者
论文摘要
预计Horizon热力学将与基于Friedmann方程计算出的弗里德曼 - 罗伯逊 - 沃克（FRW）宇宙的能量密度有关。在本研究中，检查了宇宙学上的有效能量和恒温量，以阐明它们之间的全息状连接，重点关注DE Sitter Universe。为此，地平线上的Helmholtz自由能来自地平线热力学。发现自由能等效于从弗里德曼方程中计算出的有效能量。这种一致性被解释为一种类似全息的连接。为了检查这一联系，帕德马纳汉（Padmanabhan）的全息电式法律与时空动力学的起源有关，应用于保姆宇宙。发现法律应导致类似全息的连接。全息样连接被认为是地平线上和整体中的恒温数量之间的桥梁。例如，平面FRW宇宙的宇宙学方程可以通过接受连接作为可行的场景来从地平线热力学中得出。此外，使用统计物理学中规范合奏的概念从弗里德曼方程中获得了相当于贝肯斯坦的热熵。本研究提供了有关地平线热力学和宇宙学方程讨论的新见解。
Horizon thermodynamics is expected to be related to the effective energy based on the energy density calculated from the Friedmann equation for a Friedmann--Robertson--Walker (FRW) universe. In the present study, the effective energy and thermostatistical quantities on a cosmological horizon are examined to clarify the holographic-like connection between them, with a focus on a de Sitter universe. To this end, the Helmholtz free energy on the horizon is derived from horizon thermodynamics. The free energy is found to be equivalent to the effective energy calculated from the Friedmann equation. This consistency is interpreted as a kind of holographic-like connection. To examine this connection, Padmanabhan's holographic equipartition law, which is related to the origin of spacetime dynamics, is applied to a de Sitter universe. It is found that the law should lead to a holographic-like connection. The holographic-like connection is considered to be a bridge between thermostatistical quantities on the horizon and in the bulk. For example, cosmological equations for a flat FRW universe can be derived from horizon thermodynamics by accepting the connection as a viable scenario. In addition, a thermal entropy equivalent to the Bekenstein--Hawking entropy is obtained from the Friedmann equation using the concept of a canonical ensemble in statistical physics. The present study provides new insight into the discussion of horizon thermodynamics and cosmological equations.
