Spacetime Structure & Symmetry from Entanglement Entropy

Abstract

In this article the relationship between quantum mechanics and general relativity is examined according to vacuum polarization and flow. The entanglement of states on either side of a boundary results in equations that give geodesic deviation. This is derived by looking at regions on either side of the boundary in a sheaf construction. This results in a relationship between quantum mechanics, unitarity and the Petrov classification of spacetimes. This points to a generalization of the equivalence principle and relationships between inertial and accelerated frames.