Branches of the black hole wave function need not contain firewalls
Abstract
We discuss the branching structure of the quantum-gravitational wave function that describes the evaporation of a black hole. A global wave function which initially describes a classical Schwarzschild geometry is continually decohered into distinct semiclassical branches by the emission of Hawking radiation. The laws of quantum mechanics dictate that the wave function evolves unitarily, but this unitary evolution is only manifest when considering the global description of the wave function; it is not implemented by time evolution on a single semiclassical branch. Conversely, geometric notions like the position or smoothness of a horizon only make sense on the level of individual branches. We consider the implications of this picture for probes of black holes by classical observers in definite geometries, like those involved in the Almheiri-Marolf-Polchinski-Sully construction. We argue that individual branches can describe semiclassical geometries free of firewalls, even as the global wave function evolves unitarily. We show that the pointer states of infalling detectors that are robust under Hamiltonian evolution are distinct from, and incompatible with, those of exterior detectors stationary with respect to the black hole horizon, in the sense that the pointer bases are related to each other via nontrivial transformations that mix the system, apparatus,more »
- Authors:
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States). Chemical Engineering
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1455097
- Alternate Identifier(s):
- OSTI ID: 1501538
- Grant/Contract Number:
- SC0011632
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 12; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Bao, Ning, Carroll, Sean M., Chatwin-Davies, Aidan, Pollack, Jason, and Remmen, Grant N. Branches of the black hole wave function need not contain firewalls. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.126014.
Bao, Ning, Carroll, Sean M., Chatwin-Davies, Aidan, Pollack, Jason, & Remmen, Grant N. Branches of the black hole wave function need not contain firewalls. United States. https://doi.org/10.1103/PhysRevD.97.126014
Bao, Ning, Carroll, Sean M., Chatwin-Davies, Aidan, Pollack, Jason, and Remmen, Grant N. Fri .
"Branches of the black hole wave function need not contain firewalls". United States. https://doi.org/10.1103/PhysRevD.97.126014.
@article{osti_1455097,
title = {Branches of the black hole wave function need not contain firewalls},
author = {Bao, Ning and Carroll, Sean M. and Chatwin-Davies, Aidan and Pollack, Jason and Remmen, Grant N.},
abstractNote = {We discuss the branching structure of the quantum-gravitational wave function that describes the evaporation of a black hole. A global wave function which initially describes a classical Schwarzschild geometry is continually decohered into distinct semiclassical branches by the emission of Hawking radiation. The laws of quantum mechanics dictate that the wave function evolves unitarily, but this unitary evolution is only manifest when considering the global description of the wave function; it is not implemented by time evolution on a single semiclassical branch. Conversely, geometric notions like the position or smoothness of a horizon only make sense on the level of individual branches. We consider the implications of this picture for probes of black holes by classical observers in definite geometries, like those involved in the Almheiri-Marolf-Polchinski-Sully construction. We argue that individual branches can describe semiclassical geometries free of firewalls, even as the global wave function evolves unitarily. We show that the pointer states of infalling detectors that are robust under Hamiltonian evolution are distinct from, and incompatible with, those of exterior detectors stationary with respect to the black hole horizon, in the sense that the pointer bases are related to each other via nontrivial transformations that mix the system, apparatus, and environment. This result describes a Hilbert-space version of black hole complementarity.},
doi = {10.1103/PhysRevD.97.126014},
journal = {Physical Review. D.},
number = 12,
volume = 97,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2018},
month = {Fri Jun 01 00:00:00 EDT 2018}
}
https://doi.org/10.1103/PhysRevD.97.126014
Web of Science
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