Momentum/complexity duality and the black hole interior
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Publication:2215412
DOI10.1007/JHEP07(2020)169zbMATH Open1451.83034arXiv1912.05996OpenAlexW3102371484MaRDI QIDQ2215412
Author name not available (Why is that?)
Publication date: 11 December 2020
Published in: (Search for Journal in Brave)
Abstract: We establish a version of the Momentum/Complexity (PC) duality between the rate of operator complexity growth and a radial component of bulk momentum for a test system falling into a black hole. In systems of finite entropy, our map remains valid for arbitrarily late times after scrambling. The asymptotic regime of linear complexity growth is associated to a frozen momentum in the interior of the black hole, measured with respect to a time foliation by extremal codimension-one surfaces which saturate without reaching the singularity. The detailed analysis in this paper uses the Volume-Complexity (VC) prescription and an infalling system consisting of a thin shell of dust, but the final PC duality formula should have a much wider degree of generality.
Full work available at URL: https://arxiv.org/abs/1912.05996
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