Tunneling to Holographic Traversable Wormholes

TL;DR

This paper investigates nonperturbative quantum gravity effects in a holographic system with multiple ground states, providing a method to calculate transition rates and predicting phenomena like traversable wormhole nucleation that can be tested holographically.

Contribution

It introduces a recipe for computing transition rates via gravitational instantons in a holographic setting and applies it to analyze wormhole nucleation between AdS black holes.

Findings

Calculated emission rate of radiation shells from black holes.

Determined nucleation rate of traversable wormholes in AdS black hole pairs.

Provided testable predictions for nonperturbative quantum gravity phenomena.

Abstract

We study nonperturbative effects of quantum gravity in a system consisting of a coupled pair of holographic CFTs. The AdS$_4$/CFT$_3$ system has three possible ground states: two copies of empty AdS, a pair of extremal AdS black holes, and an eternal AdS traversable wormhole. We give a recipe for calculating transition rates via gravitational instantons and test it by calculating the emission rate of radiation shells from a black hole. We calculate the nucleation rate of a traversable wormhole between a pair of AdS-RN black holes in the canonical and microcanonical ensembles. Our results give predictions of nonpertubative quantum gravity that can be tested in a holographic simulation.