标题： 强全息原理和弱全息原理 显示英文标题

标题： The strong and weak holographic principles

摘要： 我们回顾迄今为止为全息原理及相关熵限提出的各种方案，并将它们分为强形式、零形式和弱形式。 这些形式被分析，目的是发现哪些在完整的量子引力理论层面可能成立。 我们发现只有弱形式，即对边界上观察者可获得的信息进行限制，是由使用广义第二定律的论证所暗示的。 强形式进一步提出对由表面限定的空间区域中的熵的限制，但被发现存在严重问题，在半经典水平上就已经出现了反例。 由Fischler、Susskind、Bousso等人提出的零形式，其中限制是对某些零面的熵的限制，在单个背景时空中的物质熵的限制层面似乎足够，但试图包含引力自由度时遇到了严重困难。 只有弱形式似乎能够在完整的量子理论中成立。 结论是，全息原理并不是两个独立概念集之间的关系：体理论和几何测量与边界理论和信息测量之间。 相反，它断言在基本理论中，第一组概念必须完全还原为第二组。 显示英文摘要

摘要： We review the different proposals which have so far been made for the holographic principle and the related entropy bounds and classify them into the strong, null and weak forms. These are analyzed, with the aim of discovering which may hold at the level of the full quantum theory of gravity. We find that only the weak forms, which constrain the information available to observers on boundaries, are implied by arguments using the generalized second law. The strong forms, which go further and posit a bound on the entropy in spacelike regions bounded by surfaces, are found to suffer from serious problems, which give rise to counterexamples already at the semiclassical level. The null form, proposed by Fischler, Susskind, Bousso and others, in which the bound is on the entropy of certain null surfaces, appears adequate at the level of a bound on the entropy of matter in a single background spacetime, but attempts to include the gravitational degrees of freedom encounter serious difficulties. Only the weak form seems capable of holding in the full quantum theory. The conclusion is that the holographic principle is not a relationship between two independent sets of concepts: bulk theories and measures of geometry vrs boundary theories and measures of information. Instead, it is the assertion that in a fundamental theory the first set of concepts must be completely reduced to the second.