Algebraic traversable wormholes

TL;DR

This paper introduces a new large N limit in algebraic quantum gravity that models a back-reacted traversable wormhole and reproduces known effects from previous studies.

Contribution

It develops an algebraic framework for traversable wormholes at large N, connecting bulk duals with algebraic operator methods, and reproduces prior results algebraically.

Findings

Established a new algebraic large N limit for traversable wormholes.

Derived effects on a left universe observer due to right universe fluctuations.

Reproduced earlier results by Maldacena, Stanford, and Yang using algebraic methods.

Abstract

We propose a new large $N$ limit which at the extreme ($N=\infty$) limit is dual in the bulk to a back-reacted traversable wormhole, by making use of an operator in the algebra at infinity, an algebra familiar in the literature from the study of quasi-local algebras. We also compute, from a purely algebraic perspective, the effects registered by a left universe observer due to a unitary fluctuation on the right universe of the traversable wormhole, and reproduce a result from an earlier computation by Maldacena, Stanford and Yang \cite{Maldacena:2017axo}.