arXiv 0808.28452008-08gr-qchep-th

全息思想实验

Holographic Thought Experiments

Donald Marolf

备注：: 24 pages
发表信息：: Phys.Rev.D79:024029,2009
DOI：: 10.1103/PhysRevD.79.024029

摘要：

经典反德西特引力的哈密顿量是一个纯边界项。如果这在非微扰量子引力中仍然成立，那么i）边界观测量将在时间上酉演化，ii）边界观测量的代数在任何时候都是相同的。特别地，在任何一个时间t_1在边界处可用的信息在任何其他时间t_2保持可用。由于还有一种意义，即运动方程将信息传播到物体中，这些观测提出了关于同时（或类空分离）测量非对易观测量的潜在悖论，一个在渐近边界，一个在内部。我们认为，这种潜在的矛盾的设置总是涉及半经典引力的崩溃。特别是，我们提出的证据表明，在短时间尺度上进行精确的全息测量从根本上改变了人们熟悉的因果关系的概念。我们还描述了某些内在矛盾的设置，说明了上述边界的统一性，使概念更加具体。

英文摘要：

The Hamiltonian of classical anti-de Sitter gravity is a pure boundary term on-shell. If this remains true in non-perturbative quantum gravity then i) boundary observables will evolve unitarily in time and ii) the algebra of boundary observables is the same at all times. In particular, information available at the boundary at any one time t_1 remains available at any other time t_2. Since there is also a sense in which the equations of motion propagate information into the bulk, these observations raise what may appear to be potential paradoxes concerning simultaneous (or spacelike separated) measurements of non-commuting observables, one at the asymptotic boundary and one in the interior. We argue that such potentially paradoxical settings always involve a breakdown of semi-classical gravity. In particular, we present evidence that making accurate holographic measurements over short timescales radically alters the familiar notion of causality. We also describe certain less intrinsically paradoxical settings which illustrate the above boundary unitarity and render the notion more concrete.

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摘要：

英文摘要：

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