arXiv 0708.09012007-08-07hep-thgr-qcquant-ph

黑洞物理和全息中微观长程体边界依赖的统计力学

The Statistical Mechanics of Microscopic Long-Range Bulk-Boundary Dependence in Black-Hole Physics and Holography

M. Requardt

备注：: 41 pages, Latex, no figures

摘要：

我们认为，在下面的熵面积定律的黑洞物理和各种全息边界是微观动力学的基本自由度生活在或接近普朗克尺度的后果。我们将它们定位在内部和边界上，例如，黑洞与奇怪的区域行为的各种数量的结果是一个长期的大规模边界依赖这些自由度。与其他方法相比，我们把微观尺度上的真空涨落看作是相关的基本组成部分。到目前为止，萨哈罗夫，泽尔多维奇等人的旧思想的某些关系是公认的（诱导引力）。最重要的是，我们证明了存在一个大的能隙之间的几个低洼的激发模式和大多数的其他（原则上）可能的激发模式在一个子体积与给定的边界激发是至关重要的，这方面的依赖性。我们还注意到，这是一个迹象，一些特定的纠缠时空几何的有点非本地字符在微观（普朗克）制度盛行。对该领域一些未决问题的解释证实了我们的调查结果（见导言末尾的目录）。

英文摘要：

We argue in the following that the entropy-area law of black-hole physics and the various holographic bounds are the consequences of the microscopic dynamics of elementary degrees of freedom living on or near the Planck scale. We locate them both in the interior and on the boundary of, for example, the black hole with the strange area-behavior of various quantities being the result of a long-range bulk-boundary dependence among these degrees of freedom. In contrast to other approaches we regard the vacuum fluctuations on microscopic scales as the relevant elementary building blocks. In so far certain relations to to old ideas of Sakharov, Zeldovich et al are acknowledged (induced gravity). Most importantly, we prove that the existence of a large energy gap between a few low-lying excitation patterns and the majority of the other (in principle) possible excitation patterns in a subvolume with given boundary excitation is crucial for this area-dependence. We also remark that this is an indication that some particular entangled space-time geometry of a somewhat non-local character prevails in the microscopic (Planck) regime. Our findings are corroborated by the explanation of a number of open questions in the field (see the table of contents at the end of the introduction).

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英文摘要：

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