Black Hole Complementarity as a Condition on Pre and Post Selected String States

Abstract

The holographic principle of black holes tells us the field theoretic information of strings on the event horizon is completely equivalent to field theoretic information in the spacetime one dimension larger outside. This physics is observed on a frame stationary with respect to the black hole. The question naturally arises: what physics is accessed by the observer falling through the event horizon on an inertial frame? This paper examines this and demonstrates a duality between the two perspectives. This question is important for the black hole small enough to exhibit fluctuations comparable to its scale. A sufficiently small quantum black hole will be composed of strings in a superposition of interior and exterior configurations or states.