Abstract
An effective field theory for infalling observers in the vicinity of a quasi-static black hole is given in terms of a freely falling lattice discretization. The lattice model successfully reproduces the thermal spectrum of outgoing Hawking radiation, as was shown by Corley and Jacobson, but can also be used to model observations made by a typical low-energy observer who enters the black hole in free fall at a prescribed time. The explicit short distance cutoff ensures that, from the viewpoint of the infalling observer, any quantum information that entered the black hole more than a scrambling time earlier has been erased by the black hole singularity. This property, combined with the requirement that outside observers need at least of order the scrambling time to extract quantum information from the black hole, ensures that a typical infalling observer does not encounter drama upon crossing the black hole horizon in a theory where black hole information is preserved for asymptotic observers.
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References
D.A. Lowe and L. Thorlacius, Black hole complementarity: the inside view, Phys. Lett. B 737 (2014) 320 [arXiv:1402.4545] [INSPIRE].
S. Corley and T. Jacobson, Lattice black holes, Phys. Rev. D 57 (1998) 6269 [hep-th/9709166] [INSPIRE].
D. Kabat, G. Lifschytz and D.A. Lowe, Constructing local bulk observables in interacting AdS/CFT, Phys. Rev. D 83 (2011) 106009 [arXiv:1102.2910] [INSPIRE].
D.A. Lowe and L. Thorlacius, Comments on the black hole information problem, Phys. Rev. D 73 (2006) 104027 [hep-th/0601059] [INSPIRE].
S.L. Braunstein, S. Pirandola and K. Życzkowski, Better late than never: information retrieval from black holes, Phys. Rev. Lett. 110 (2013) 101301.
A. Almheiri, D. Marolf, J. Polchinski and J. Sully, Black holes: complementarity or firewalls?, JHEP 02 (2013) 062 [arXiv:1207.3123] [INSPIRE].
S. Weinberg, Lectures on quantum mechanics, Cambridge University Press, Cambridge U.K. (2012).
P. Hayden and J. Preskill, Black holes as mirrors: quantum information in random subsystems, JHEP 09 (2007) 120 [arXiv:0708.4025] [INSPIRE].
L. Susskind and L. Thorlacius, Gedanken experiments involving black holes, Phys. Rev. D 49 (1994) 966 [hep-th/9308100] [INSPIRE].
L. Brillouin, Wave propagation and group velocity, Academic Press, U.S.A. (1960).
S.B. Giddings, Nonviolent information transfer from black holes: a field theory parametrization, Phys. Rev. D 88 (2013) 024018 [arXiv:1302.2613] [INSPIRE].
E. Farhi, A.H. Guth and J. Guven, Is it possible to create a universe in the laboratory by quantum tunneling?, Nucl. Phys. B 339 (1990) 417 [INSPIRE].
G.L. Alberghi, D.A. Lowe and M. Trodden, Charged false vacuum bubbles and the AdS/CFT correspondence, JHEP 07 (1999) 020 [hep-th/9906047] [INSPIRE].
D.A. Lowe and S. Roy, Punctuated eternal inflation via AdS/CFT, Phys. Rev. D 82 (2010) 063508 [arXiv:1004.1402] [INSPIRE].
S. Corley and T. Jacobson, Hawking spectrum and high frequency dispersion, Phys. Rev. D 54 (1996) 1568 [hep-th/9601073] [INSPIRE].
D. Marolf and J. Polchinski, Gauge/gravity duality and the black hole interior, Phys. Rev. Lett. 111 (2013) 171301 [arXiv:1307.4706] [INSPIRE].
S.G. Avery and D.A. Lowe, Event horizons and holography, arXiv:1310.7999 [INSPIRE].
S.G. Avery and D.A. Lowe, Typical event horizons in AdS/CFT, arXiv:1501.05573 [INSPIRE].
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ArXiv ePrint: 1508.06572
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Lowe, D.A., Thorlacius, L. Quantum information erasure inside black holes. J. High Energ. Phys. 2015, 1–16 (2015). https://doi.org/10.1007/JHEP12(2015)096
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DOI: https://doi.org/10.1007/JHEP12(2015)096