Chaotic Fast Scrambling At Black Holes

Understand

Fast scramblers process information in characteristic times scaling logarithmically with the entropy, a behavior which has been conjectured for black hole horizons.

• In this note we use the AdS/CFT fold to argue that causality bounds on information flow only depend on the properties of a single thermal cell, and admit a geometrical interpretation in terms of the optical depth, i.e.
• the thickness of the Rindler region in the so-called optical metric.
• The spatial sections of the optical metric are well approximated by constant-curvature hyperboloids.