Free fall onto evaporating black holes at the quantum limit

Abstract

Black hole space times evaporate in discrete steps due to remarkably slow Hawking radiation. We here identify evaporation with essentially extremal states at the limit of quantum computation, performing $2.7\times 10^{79}$ bit calculations per photon emission in a one solar mass black hole. During evaporation, particles in free fall co-evolve satisfying $EM=$constant, where $E$ and $M$ denote the total mass energy-at-infinity of the particle and, respectively, black hole. Particles are hereby increasingly entangled with the black hole space-time over the course of its evaporation.

4 pages, 1 figure; revision following presentation at the KIAS-CFHEP and 5th KIAS Worskhop on Particle Physics and Cosmology, November 10 2015

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