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The Library of Babel

Vijay Balasubramanian, Vishnu Jejjala, Joan Simón

Abstract

We show that heavy pure states of gravity can appear to be mixed states to almost all probes. Our arguments are made for $\rm{AdS}_5$ Schwarzschild black holes using the field theory dual to string theory in such spacetimes. Our results follow from applying information theoretic notions to field theory operators capable of describing very heavy states in gravity. For certain supersymmetric states of the theory, our account is exact: the microstates are described in gravity by a spacetime ``foam'', the precise details of which are invisible to almost all probes.

The Library of Babel

Abstract

We show that heavy pure states of gravity can appear to be mixed states to almost all probes. Our arguments are made for Schwarzschild black holes using the field theory dual to string theory in such spacetimes. Our results follow from applying information theoretic notions to field theory operators capable of describing very heavy states in gravity. For certain supersymmetric states of the theory, our account is exact: the microstates are described in gravity by a spacetime ``foam'', the precise details of which are invisible to almost all probes.

Paper Structure

This paper contains 1 section, 4 equations, 1 figure.

Table of Contents

  1. Acknowledgements

Figures (1)

  • Figure 1: Foaming microstate geometry