In classical GR, collapsing shells form horizons and thus black holes. On the other hand, quantum information theory arguments (fuzzball/firewall) suggest the existence of additional structure at the black hole horizon, which can only form if the classical GR description breaks down before the collapsing shell reaches horizon size. The shell should then quantum tunnel into horizonless configurations of microstates well before the horizon has a chance to form. In turn, these microstates can then evolve and tunnel into other microstate configurations as well. The subsequent evolution can be seen as a network of microstates that are loosely connected by the ability to tunnel into each other. I will discuss the evolution of such microstate networks using elements of network theory and random walks on networks.

IPhT