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GRAVITATION AND VACUUM ENTANGLEMENT ENTROPY*

机译:重力和真空缠结熵*

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摘要

The vacuum of quantum fields contains correlated fluctuations. When restricted to one side of a surface these have a huge entropy of entanglement that scales with the surface area. If UV physics renders this entropy finite, then a thermodynamic argument implies the existence of gravity. That is, the causal structure of spacetime must be dynamical and governed by the Einstein equation with Newton's constant inversely proportional to the entropy density. Conversely, the existence of gravity makes the entanglement entropy finite. This thermodynamic reasoning is powerful despite the lack of a detailed description of the dynamics at the cutoff scale, but it has its limitations. In particular, we should not expect to understand corrections to Einstein gravity in this way.
机译:量子场的真空包含相关的涨落。当限制在表面的一侧时,它们具有随表面缩放的巨大纠缠熵。如果紫外线物理学使该熵有限,则热力学论点暗示重力的存在。也就是说,时空的因果结构必须是动态的,并由爱因斯坦方程控制,牛顿常数与熵密度成反比。相反,重力的存在使纠缠熵有限。尽管缺少对临界尺度动力学的详细描述,但这种热力学推理还是有力的,但是它有其局限性。特别是,我们不应期望以这种方式理解对爱因斯坦引力的修正。

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