SciPost Phys. 8, 077 (2020) ·
published 14 May 2020

· pdf
We model black hole microstates and quantum tunneling transitions between
them with networks and simulate their time evolution using wellestablished
tools in network theory. In particular, we consider two models based on
BenaWarner threecharge multicentered microstates and one model based on the
D1D5 system; we use network theory methods to determine how many centers (or
D1D5 string strands) we expect to see in a typical latetime state. We find
three distinct possible phases in parameter space for the latetime 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 latetime 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 nontrivial, emergent
property of the full Hilbert space of microstates.
Dr Mayerson: "We thank the referee for their..."
in Report on Probing Black Hole Microstate Evolution with Networks and Random Walks