ER for typical EPR
High Energy Physics - Theory
2025-10-21 v2
Abstract
What do the typical entangled states of two black holes look like? Do they contain semiclassical interiors? We approach these questions constructively, providing ensembles of states which densely explore the black hole Hilbert space. The states contain very long Einstein-Rosen (ER) caterpillars: semiclassical wormholes with large numbers of matter inhomogeneities. Distinguishing these ensembles from the typical entangled states of the black holes is hard. We quantify this by deriving the correspondence between a microscopic notion of quantum randomness and the geometric length of the wormhole. This formalizes a ``complexity = geometry'' relation.
Cite
@article{arxiv.2504.07171,
title = {ER for typical EPR},
author = {Javier M. Magan and Martin Sasieta and Brian Swingle},
journal= {arXiv preprint arXiv:2504.07171},
year = {2025}
}
Comments
6 pages, 5 figures. v2: edited discussion, journal version