We study nonperturbative effects of quantum gravity in a system consisting of
a coupled pair of holographic CFTs. The AdS4β/CFT3β 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.Comment: 65 pages, 2 figure