Numerical Test of the Holographic Principle for Black Holes(Research)

Abstract

Einstein's general relativity is a classical theory of gravity, and hence it cannot be applied to the interior of a black hole due to the existence of a singularity. Based on the description of solitonic objects in superstring theory, which is a consistent theory of quantum gravity, Maldacena conjectured that the interior structure of a black hole can be described by a gauge theory in lower dimensions. This description may be regarded as a manifestation of the holographic principle. Here we test this conjecture by calculating the mass of a black hole in the corresponding gauge theory numerically. Our results agree well with the prediction from gravity theory including the leading quantum gravity correction.