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Probing Black Hole Microstate Evolution with Networks and Random Walks

by Anthony M. Charles, Daniel R. Mayerson

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Submission summary

Authors (as registered SciPost users): Daniel Mayerson
Submission information
Preprint Link:  (pdf)
Date accepted: 2020-05-01
Date submitted: 2020-03-28 01:00
Submitted by: Mayerson, Daniel
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We model black hole microstates and quantum tunneling transitions between them with networks and simulate their time evolution using well-established tools in network theory. In particular, we consider two models based on Bena-Warner three-charge multi-centered microstates and one model based on the D1-D5 system; we use network theory methods to determine how many centers (or D1-D5 string strands) we expect to see in a typical late-time state. We find three distinct possible phases in parameter space for the late-time behaviour of these networks, which we call ergodic, trapped, and amplified, depending on the relative importance and connectedness of microstates. We analyze in detail how these different phases of late-time behavior are related to the underlying physics of the black hole microstates. Our results indicate that the expected properties of microstates at late times cannot always be determined simply by entropic arguments; typicality is instead a highly non-trivial, emergent property of the full Hilbert space of microstates.

List of changes

minor clarifications, updated the discussion on the D1-D5 system (in accordance with referee report)

Published as SciPost Phys. 8, 077 (2020)

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