Speaker
Prof.
Suvrat Raju
(Centre for Theoretical Sciences, Tata Institute of Fundamental Research)
Description
We describe an apparent paradox with state-dependent
constructions of the black hole interior: excitations with
small energy with respect to the boundary Hamiltonian can
have strong effects on an infalling observer violating a
principle of statistical mechanics that bounds the effect of
low-energy sources. This is sometimes called a "Born rule"
violation.
We describe how this paradox is resolved by causality. As a
result of a non-trivial property of position-space AdS
correlators, no observer can create such an excitation and
also observe its effect.
This is an important check of the consistency of
state-dependent maps between the black hole interior and
boundary operators in AdS/CFT.
