Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-05-12
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 2 figures
Scientific paper
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. We use this fact to propose an effective kinetic model of scrambling which can be assimilated to a compact hyperbolic billiard, furnishing a classic example of hard chaos. It is suggested that classical chaos at large N is a crucial ingredient in reconciling the notion of fast scrambling with the required saturation of causality.
Barbon Jose L. F.
Magan Javier M.
No associations
LandOfFree
Chaotic Fast Scrambling At Black Holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chaotic Fast Scrambling At Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaotic Fast Scrambling At Black Holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-26567