Size and momentum of an infalling particle in the black hole interior

Abstract

The future interior of black holes in AdS/CFT can be described in terms of a quantum circuit. We investigate boundary quantities detecting properties of this quantum circuit. We discuss relations between operator size, quantum complexity, and the momentum of an infalling particle in the black hole interior. We argue that the trajectory of the infalling particle in the interior close to the horizon is related to the growth of operator size. The notion of size here differs slightly from the size which has previously been related to momentum of exterior particles and provides an interesting generalization. The fact that both exterior and interior momentum are related to operator size growth is a manifestation of complementarity.

18 Pages, 10 figures. v2: published version

References in corpus (5)

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• Switchbacks and the Bridge to Nowhere
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• Scattering strings off quantum extremal surfaces
• Quantum Error Correction in SYK and Bulk Emergence
• Collisions of localized shocks and quantum circuits
• Bouncing inside the horizon and scrambling delays
• The Special Role of Toroidal Black Holes in Holography
• Operator growth and black hole formation