Exact Results in Quantum Theory & Gravity

In my talk I will argue that the Hilbert space of excitations on top of a traversable wormhole is smaller than the tensor product of the independent Hilbert spaces of the boundary field theories. From the point of view of semiclassical physics, the decrease in the number of states is perceived as an emergent, non-local interaction stabilizing the wormhole. This presents new possibilities for models of radiating black holes. I will present a simple quantum-mechanical model, where the factorization of the Hilbert space is only approximate at low energies. I will show how quantum `weirdness' of the black holes physics follows from such models.