Chaos in the black hole S-matrix

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.

arXiv comment13 pages, 2 figures. v2: correction to eq. 2.18 and added clarification (new footnote 6)

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