In this talk, I will prove from first principles that modular flow in AdS/CFT can be well approximated by a kink transform on the classical spacetime. In order to do so, I will discuss a formulation of holography as approximate quantum error correction using a large code subspace consisting of multiple background geometries. The large code subspace allows us to discuss the bulk dual of modular flow which affects the background geometry in a non-trivial manner. We discuss situations where modular flow can be well approximated by classical flow by the HRT area operator, and using the Peierls bracket technique, derive the fact that modular flow approximately acts by a kink transform. These results generalize to higher derivative theories and constitute a new Lorentzian derivation of the geometric entropy.
Meeting ID: 880 9276 6911