THE WORLD AS A HOLOGRAM
THE WORLD AS A HOLOGRAM
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DOI：
10.1063/1.531249
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发表时间：
1995-11-01
影响因子：
1.3
通讯作者：
SUSSKIND, L
中科院分区：
文献类型：
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作者：
SUSSKIND, L
根据t Hooft的说法，量子力学和引力的结合要求三维世界是数据的图像，可以像全息图像一样存储在二维投影上。二维描述只需要每个普朗克区域有一个离散自由度，但它足够丰富，可以描述所有的三维现象。在概述了Hooft的建议之后，我们对如何实施它进行了初步的非正式描述。人们发现了一个基本要求，即当粒子的动量远远超过普朗克尺度时，粒子的尺寸必须增大。描述了高能粒子碰撞的结果。粒子带动量生长的现象以前在弦理论的背景下讨论过，并且与黑洞视界附近的信息传播有关。本文的考虑表明，除了最早的时间外，任何时候的效果都要快得多。事实上，人们发现扩散的速度使因果关系的界限饱和。最后，我们认为弦理论是t Hooft思想的一种可能实现。回顾了k黎巴嫩诺夫和Susskind的光前点阵弦模型，并指出了它与全息理论的相似之处。两者之间的一致性需要对弦理论的非摄动行为进行未经证实但貌似合理的假设。查尔斯·索恩（Charles Thorn）一直持有与本文非常相似的观点。(C) 1995年美国物理研究所。
According to 't Hooft the combination of quantum mechanics and gravity requires the three-dimensional world to be an image of data that can be stored on a two-dimensional projection much like a holographic image. The two-dimensional description only requires one discrete degree of freedom per Planck area and yet it is rich enough to describe all three-dimensional phenomena. After outlining 't Hooft's proposal we give a preliminary informal description of how it may be implemented. One finds a basic requirement that particles must grow in size as their momenta are increased far above the Planck scale. The consequences for high-energy particle collisions are described. The phenomenon of particle growth with momentum was previously discussed in the context of string theory and was related to information spreading near black hole horizons. The considerations of this paper indicate that the effect is much more rapid at all but the earliest times. In fact the rate of spreading is found to saturate the bound from causality. Finally we consider string theory as a possible realization of 't Hooft's idea. The light front lattice string model of Klebanov and Susskind is reviewed and its similarities with the holographic theory are demonstrated. The agreement between the two requires unproven but plausible assumptions about the nonperturbative behavior of string theory. Very similar ideas to those in this paper have long been held by Charles Thorn. (C) 1995 American Institute of Physics.