Local Operators in the Eternal Black Hole

Understand

We show that, in the AdS/CFT correspondence, states obtained by Hamiltonian evolution of the thermofield doubled state are also dual to an eternal black hole geometry, which is glued to the boundary with a time shift generated by a large diffeomorphism.

• We describe gauge invariant relational observables that probe the black hole interior in these states and constrain their properties using effective field theory.
• By adapting recent versions of the information paradox we show that these observables are necessarily described by state-dependent bulk-boundary maps, which we construct explicitly.