Chaos in the black hole S-matrix
Joseph Polchinski
TL;DR
This paper explores chaos in black hole S-matrices, extending previous work to evaporating black holes and deriving an identity for S-matrix changes due to infalling particles, linking horizon geometry and chaos.
Contribution
It generalizes the chaos-S-matrix relationship from eternal to evaporating black holes, providing a new identity for S-matrix variations over short times.
Findings
Derived an identity for S-matrix change due to infalling particles.
Extended chaos analysis to black holes that form and evaporate.
Linked horizon geometry to chaotic behavior in dynamic black holes.
Abstract
Recent work by Shenker, Stanford, and Kitaev has related the black hole horizon geometry to chaotic behavior. We extend this from eternal black holes to black holes that form and then evaporate. This leads to an identity for the change in the black hole S-matrix (over times shorter than the scrambling time) due an addition infalling particle, elaborating an idea of 't Hooft.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories