Lecture 22: Paradoxes with the eternal black hole
In this lecture, we showed that if one assumes that (a) degrees of freedom in the black hole interior are described by the same operators in the thermofield doubled state and states related to it by simple Hamiltonian evolution (b) disentangled states are not connected by a wormhole, then one can extend the paradoxes that we found for large black holes to the eternal black hole.
So even the seemingly well-understood duality between the eternal black hole and the thermofield doubled state has a subtlety when we try and map bulk degrees of freedom in the black-hole interior to boundary degrees of freedom.
In the last part of the lecture, we then discussed some additional paradoxes about large black holes. These have to do with exponentially suppressed effects. We also discussed a simple version of the "bags of gold" paradox, and its resolution via exponentially small corrections to the inner-product.
