Built on

J. Schwinger, “On Gauge Invariance and Vacuum Polarization,” Phys. Rev. D 82
1951
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7
1973
Earlier work this paper cites.
S. W. Hawking, “Black hole explosions”, Nature 248
1975
Earlier work this paper cites.
S. W. Hawking, “Breakdown of Predictability in Gravitational Collapse,” Phys. Rev. D 14
1976
Earlier work this paper cites.
D. N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
For example, Chapter 5 of J. J. Sakurai, Modern Quantum Mechanics
1994
Earlier work this paper cites.
R. Brustein and G. Veneziano, “A Causal entropy bound,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
T. Vachaspati, D. Stojkovic and L. M. Krauss, “Observation of incipient black holes and the information loss problem,” Phys. Rev. D 76
2007
Earlier work this paper cites.
S. D. Mathur, “The Information paradox: A Pedagogical introduction,” Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
A. Almheiri, D. Marolf, J. Polchinski and J. Sully, “Black Holes: Complementarity or Firewalls?,” JHEP 1302
Original
2013
Earlier work this paper cites.

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Then

R. Brustein and A. J. M. Medved, “Restoring predictability in semiclassical gravitational collapse,” JHEP 1309
Original
2013
Later among the works it cites.
R. Bousso, “Firewalls From Double Purity,” Phys. Rev. D 88
Original
2014
Later among the works it cites.
S. D. Mathur, “What does strong subadditivity tell us about black holes?,” Nucl. Phys. Proc. Suppl. 251-252
Original
2014
Later among the works it cites.
G. Dvali and C. Gomez, “Black Holes as Critical Point of Quantum Phase Transition,” Eur. Phys. J. C 74
Original
2014
Later among the works it cites.
G. Dvali and C. Gomez, “Quantum Compositeness of Gravity: Black Holes, AdS and Inflation,” JCAP 1401
Original

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2015

Quantum state of the black hole interior

Brustein, Ram, Medved, A. J. M.

Understand

If a black hole (BH) is initially in an approximately pure state and it evaporates by a unitary process, then the emitted radiation will be in a highly quantum state.

As the purifier of this radiation, the state of the BH interior must also be in some highly quantum state.
So that, within the interior region, the mean-field approximation cannot be valid and the state of the BH cannot be described by some semiclassical metric.
On this basis, we model the state of the BH interior as a collection of a large number of excitations that are packed into closely spaced but single-occupancy energy levels; a sort-of "Fermi sea" of all light-enough particles.

Built on

J. Schwinger, “On Gauge Invariance and Vacuum Polarization,” Phys. Rev. D 82
1951
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7
1973
Earlier work this paper cites.
S. W. Hawking, “Black hole explosions”, Nature 248
1975
Earlier work this paper cites.
S. W. Hawking, “Breakdown of Predictability in Gravitational Collapse,” Phys. Rev. D 14
1976
Earlier work this paper cites.
D. N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
For example, Chapter 5 of J. J. Sakurai, Modern Quantum Mechanics
1994
Earlier work this paper cites.
R. Brustein and G. Veneziano, “A Causal entropy bound,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
T. Vachaspati, D. Stojkovic and L. M. Krauss, “Observation of incipient black holes and the information loss problem,” Phys. Rev. D 76
2007
Earlier work this paper cites.
S. D. Mathur, “The Information paradox: A Pedagogical introduction,” Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
A. Almheiri, D. Marolf, J. Polchinski and J. Sully, “Black Holes: Complementarity or Firewalls?,” JHEP 1302
Original
2013
Earlier work this paper cites.