%A Susskind,Leonard
%D 2020
%J Frontiers in Physics
%C
%F
%G English
%K Gravitation,quantum complexity,holographic principle,SYK model,AdS spacetime
%Q
%R 10.3389/fphy.2020.00262
%W
%L
%N 262
%M
%P
%7
%8 2020-November-19
%9 Original Research
%#
%! Complexity and Newton's Laws
%*
%<
%T Complexity and Newton's Laws
%U https://www.frontiersin.org/article/10.3389/fphy.2020.00262
%V 8
%0 JOURNAL ARTICLE
%@ 2296-424X
%X 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.