Abstract

In the standard formalism of quantum gravity, black holes appear to form statistical distributions of quantum states. Now, however, we can present a theory that yields pure quantum states. It shows how particles entering a black hole can generate firewalls, which however can be removed, replacing them by the ‘footprints’ they produce in the out-going particles. This procedure can preserve the quantum information stored inside and around the black hole. We then focus on a subtle but unavoidable modification of the topology of the Schwarzschild metric: antipodal identification of points on the horizon. If it is true that vacuum fluctuations include virtual black holes, then the structure of space-time is radically different from what is usually thought.

Highlights

  • A theory is needed that blends black holes with other, ordinary forms of matter

  • This requires a treatment that explains what happens to the quantum information that appears to be absorbed by black holes [1,2,3]

  • We need a description of black holes in terms of pure quantum states [4,5,6,7,8]—as opposed to Presented at the Lemaître Workshop on Black Holes, Gravitational Waves and Spacetime Singularities, The Vatican Observatory, May 9, 2017

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Summary

Introduction

A theory is needed that blends black holes with other, ordinary forms of matter Among other things, this requires a treatment that explains what happens to the quantum information that appears to be absorbed by black holes [1,2,3]. This requires a treatment that explains what happens to the quantum information that appears to be absorbed by black holes [1,2,3] To do this well, we need a description of black holes in terms of pure quantum states [4,5,6,7,8]—as opposed to Presented at the Lemaître Workshop on Black Holes, Gravitational Waves and Spacetime Singularities, The Vatican Observatory, May 9, 2017

Cauchy surface
Hard and Soft Particles
The Gravitational Back Reaction
Particles and Footprints
Expansion in Spherical Harmonics
Regions I and I I
The Antipodal Identification
A Time–Like Möbius Strip
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