Einstein's Equations from Varying Complexity
High Energy Physics - Theory
2018-01-24 v1
Abstract
A recent proposal equates the circuit complexity of a quantum gravity state with the gravitational action of a certain patch of spacetime. Since Einstein's equations follow from varying the action, it should be possible to derive them by varying complexity. I present such a derivation for vacuum solutions of pure Einstein gravity in three-dimensional asymptotically anti-de Sitter space. The argument relies on known facts about holography and on properties of Tensor Network Renormalization, an algorithm for coarse-graining (and optimizing) tensor networks.
Keywords
Cite
@article{arxiv.1706.00965,
title = {Einstein's Equations from Varying Complexity},
author = {Bartlomiej Czech},
journal= {arXiv preprint arXiv:1706.00965},
year = {2018}
}
Comments
4 pages, 2 figures