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arXiv 1005.4286gr-qchep-th
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从黑洞到突现引力

From black holes to emergent gravity

Rabin Banerjee

摘要:

许多研究黑洞的不等价方法都能得到相同的结果。任何有意义的引力理论都应该解释这种性质的起源。在这里,我们表明,基本的全纯模式的特点潜在的二维共形对称性附近的地平线带来了这种普遍性。此外,这些模式导致黑洞的能量均分定律,这表明引力的统计起源。通过证明熵与作用量$\left(S=-\frac{i}{\hbar}\,I\right)$的等价性,并将广义斯马尔质量公式表示为热力学关系式$S=\frac{E}{2T}$,进一步支持了引力的这种突现性质,其中$S$、$E$和$T$分别是黑洞的熵、能量和温度。

英文摘要:

Many inequivalent approaches to study black holes yield identical results. Any meaningful theory of gravity should explain the origin of this property. Here we show that the basic holomorphic modes characterising the underlying two dimensional conformal symmetry near the horizon bring about this universality. Moreover these modes lead to a law of equipartition of energy for black holes which suggests a statistical origin of gravity. This emergent nature of gravity is further bolstered by showing the equivalence of entropy with the action $\left(S=-\frac{i}{\hbar}\,I\right)$ and expressing the generalised Smarr formula for mass as a thermodynamic relation, $S=\frac{E}{2T}$ where $S$, $E$ and $T$ are the entropy, energy and temperature, respectively, of a black hole.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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