@ARTICLE{10.3389/fphy.2020.00262,
AUTHOR={Susskind, Leonard},
TITLE={Complexity and Newton's Laws},
JOURNAL={Frontiers in Physics},
VOLUME={8},
PAGES={262},
YEAR={2020},
URL={https://www.frontiersin.org/article/10.3389/fphy.2020.00262},
DOI={10.3389/fphy.2020.00262},
ISSN={2296-424X},
ABSTRACT={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 dualâ€”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.}
}