Emergent spacetime and the ergodic hierarchy
High Energy Physics - Theory
2023-10-24 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
Various diagnostics of the emergence of an arrow of time in the bulk description of a holographic theory have been proposed, including the decay of some real time correlation functions and the appearance of type III von Neumann algebras carrying half-sided modular inclusions. This note puts forward a close parallel between these diagnostics and a quantum formulation of the ergodic hierarchy of dynamical systems. Theories with an emergent spacetime appear to sit near the top of this hierarchy.
Cite
@article{arxiv.2310.13733,
title = {Emergent spacetime and the ergodic hierarchy},
author = {Elliott Gesteau},
journal= {arXiv preprint arXiv:2310.13733},
year = {2023}
}
Comments
8 pages, 2 tables, 1 figure