Complexity and Newton's Laws
Complexity and Newton's Laws
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DOI：
10.3389/fphy.2020.00262
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发表时间：
2019-04
期刊：
影响因子：
--
通讯作者：
L. Susskind
中科院分区：
文献类型：
--
作者：
L. Susskind
在最近的一篇笔记[1]中，我论证了普通引力的全息起源是算符在时间演化下增长的量子力学倾向。在后续[2]中，这一主张在SYK理论及其主体对偶--近极值黑洞理论的背景下进行了检验。在这篇文章中，我给出了[2]的尺寸-动量对应的一个改进版本，并证明了牛顿运动定律是一个推论。运算符的大小与复杂性密切相关。因此，有人可能会说，引力是复杂性增加趋势的一种表现。大小-动量对应的改进版本可以用Lin等人的论点来证明。[3]为SYK模型的近似对称性构造对称生成元。
In a recent note [1], I argued that the holographic origin of ordinary gravitational attraction is the quantum mechanical tendency for operators to grow under time evolution. In a follow-up [2] the claim was tested in the context of the SYK theory and its bulk dual—the theory of near-extremal black holes. In this paper I give an improved version of the size-momentum correspondence of [2], and show that Newton's laws of motion are a consequence. Operator size is closely related to complexity. Therefore, one may say that gravitational attraction is a manifestation of the tendency for complexity to increase. The improved version of the size-momentum correspondence can be justified by the arguments of Lin et al. [3] constructing symmetry generators for the approximate symmetries of the SYK model.