Information Flow in Black Hole Evaporation

TL;DR

This paper investigates how information from black hole interiors is encoded in Hawking radiation within holographic models, revealing a fractal encoding structure through systematic excision and Page transitions.

Contribution

It introduces a systematic study of information encoding in black hole evaporation using numerical and analytic methods, highlighting a fractal structure in the encoding process.

Findings

Identification of a fractal encoding structure for black hole interior information.

Demonstration of the Page transition through bath interval excision.

Evidence of ER=EPR wormholes influencing information flow.

Abstract

Recently, new holographic models of black hole evaporation have given fresh insights into the information paradox [arXiv:1905.08255, arXiv:1905.08762, arXiv:1908.10996]. In these models, the black hole evaporates into an auxiliary bath space after a quantum quench, wherein the holographic theory and the bath are joined. One particularly exciting development is the appearance of "ER=EPR"-like wormholes in the (doubly) holographic model of [arXiv:1908.10996]. At late times, the entanglement wedge of the bath includes the interior of the black hole. In this paper, we employ both numerical and analytic methods to study how information about the black hole interior is encoded in the Hawking radiation. In particular, we systematically excise intervals from the bath from the system and study the corresponding Page transition. Repeating this process ad infinitum, we end up with a fractal structure on which the black hole interior is encoded, implementing the uberholography protocol of [arXiv:1612.00017].