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arXiv 1209.5876gr-qchep-th
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突现引力:从统计学的角度

Emergent gravity: From statistical point of view

Bibhas Ranjan Majhi

摘要:

在黑洞的事件视界附近,有效理论是二维共形理论。在这里,我们表明,全息模式表征这种潜在的共形对称性和基本定义的熵$S$在统计力学导致能量均分定律。我们还表明,$S$是成比例的重力作用,这表明紧急性质的重力。这是进一步支持的广义Smarr公式表示为一个热力学关系,$S = E/ 2T$,其中$T$是霍金温度和$E$被证明是科马尔能源。

英文摘要:

Near the event horizon of a black hole, the effective theory is two dimensional conformal theory. Here we show that the holographic modes characterising this underlying conformal symmetry and the basic definition of entropy $S$ in statistical mechanics lead the equipartition law of energy. We also show that $S$ is proportional to the gravity action which suggests the emergent nature of gravity. This is further bolstered by expressing the generalised Smarr formula as a thermodynamic relation, $S = E/ 2T$, where $T$ is the Hawking temperature and $E$ is shown to be the Komar energy.

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