Breaking the spell of the tensor product
arXiv:2104.06425
Abstract
In this essay I argue that the Hilbert space of states dual to 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 and raises questions about results established under the spell of the tensor product.
Essay written for the Gravity Research Foundation 2021 Awards for Essays on Gravitation