Abstract
A first-principles approach to the unitarity problem for black holes is systematically explored, based on the postulates of 1) quantum mechanics 2) the ability to approximately locally divide quantum gravitational systems into subsystems 3) correspondence with quantum field theory predictions for appropriate observers and (optionally) 4) universality of new gravitational effects. Unitarity requires interactions between the internal state of a black hole and its surroundings that have not been identified in the field theory description; correspondence with field theory indicates that these are soft. A conjectured information-theoretic result for information transfer between subsystems, partly motivated by a perturbative argument, then constrains the minimum coupling size of these interactions of the quantum atmosphere of a black hole. While large couplings are potentially astronomically observable, given this conjecture one finds that the new couplings can be exponentially small in the black hole entropy, yet achieve the information transfer rate needed for unitarization, due to the large number of black hole internal states. This provides a new possible alternative to arguments for large effects near the horizon. If universality is assumed, these couplings can be described as small, soft, state-dependent fluctuations of the metric near the black hole. Open questions include that of the more fundamental basis for such an effective picture.
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References
S.W. Hawking, Particle creation by black holes, Commun. Math. Phys. 43 (1975) 199 [Erratum ibid. 46 (1976) 206] [INSPIRE].
S.B. Giddings, Black holes and massive remnants, Phys. Rev. D 46 (1992) 1347 [hep-th/9203059] [INSPIRE].
S.B. Giddings and M. Lippert, The information paradox and the locality bound, Phys. Rev. D 69 (2004) 124019 [hep-th/0402073] [INSPIRE].
Virgo, LIGO Scientific collaboration, B.P. Abbott et al., Observation of gravitational waves from a binary black hole merger, Phys. Rev. Lett. 116 (2016) 061102 [arXiv:1602.03837] [INSPIRE].
S. Doeleman et al., Imaging an event horizon: submm-VLBI of a super massive black hole, arXiv:0906.3899 [INSPIRE].
S.B. Giddings, Possible observational windows for quantum effects from black holes, Phys. Rev. D 90 (2014) 124033 [arXiv:1406.7001] [INSPIRE].
S.B. Giddings, Is string theory a theory of quantum gravity?, Found. Phys. 43 (2013) 115 [arXiv:1105.6359] [INSPIRE].
A. Almheiri, D. Marolf, J. Polchinski and J. Sully, Black holes: complementarity or firewalls?, JHEP 02 (2013) 062 [arXiv:1207.3123] [INSPIRE].
S.B. Giddings, Universal quantum mechanics, Phys. Rev. D 78 (2008) 084004 [arXiv:0711.0757] [INSPIRE].
T. Banks, L. Susskind and M.E. Peskin, Difficulties for the evolution of pure states into mixed states, Nucl. Phys. B 244 (1984) 125 [INSPIRE].
J. Polchinski, Weinberg’s nonlinear quantum mechanics and the EPR paradox, Phys. Rev. Lett. 66 (1991) 397 [INSPIRE].
R. Haag, Local quantum physics, fields, particles, algebras, Springer, Berlin Germany (996).
M. Van Raamsdonk, Building up spacetime with quantum entanglement, Gen. Rel. Grav. 42 (2010) 2323 [Int. J. Mod. Phys. D 19 (2010) 2429] [arXiv:1005.3035] [INSPIRE].
J. Maldacena and L. Susskind, Cool horizons for entangled black holes, Fortsch. Phys. 61 (2013) 781 [arXiv:1306.0533] [INSPIRE].
W.G. Unruh and R.M. Wald, How to mine energy from a black hole, Gen. Relat. Gravit. 15 (1983) 195.
A.E. Lawrence and E.J. Martinec, Black hole evaporation along macroscopic strings, Phys. Rev. D 50 (1994) 2680 [hep-th/9312127] [INSPIRE].
V.P. Frolov and D. Fursaev, Mining energy from a black hole by strings, Phys. Rev. D 63 (2001) 124010 [hep-th/0012260] [INSPIRE].
V.P. Frolov, Cosmic strings and energy mining from black holes, Int. J. Mod. Phys. A 17 (2002) 2673 [INSPIRE].
S.B. Giddings, Models for unitary black hole disintegration, Phys. Rev. D 85 (2012) 044038 [arXiv:1108.2015] [INSPIRE].
S.B. Giddings, Black holes, quantum information and unitary evolution, Phys. Rev. D 85 (2012) 124063 [arXiv:1201.1037] [INSPIRE].
S.B. Giddings and Y. Shi, Quantum information transfer and models for black hole mechanics, Phys. Rev. D 87 (2013) 064031 [arXiv:1205.4732] [INSPIRE].
S.B. Giddings, Nonviolent nonlocality, Phys. Rev. D 88 (2013) 064023 [arXiv:1211.7070] [INSPIRE].
S.B. Giddings, Nonviolent information transfer from black holes: a field theory parametrization, Phys. Rev. D 88 (2013) 024018 [arXiv:1302.2613] [INSPIRE].
S.B. Giddings and Y. Shi, Effective field theory models for nonviolent information transfer from black holes, Phys. Rev. D 89 (2014) 124032 [arXiv:1310.5700] [INSPIRE].
S.B. Giddings, Modulated Hawking radiation and a nonviolent channel for information release, Phys. Lett. B 738 (2014) 92 [arXiv:1401.5804] [INSPIRE].
S.B. Giddings and D. Psaltis, Event horizon telescope observations as probes for quantum structure of astrophysical black holes, arXiv:1606.07814 [INSPIRE].
R.L. Arnowitt, S. Deser and C.W. Misner, Canonical variables for general relativity, Phys. Rev. 117 (1960) 1595 [INSPIRE].
C.J. Isham, Canonical quantum gravity and the problem of time, gr-qc/9210011.
I. Agullo and A. Ashtekar, Unitarity and ultraviolet regularity in cosmology, Phys. Rev. D 91 (2015) 124010 [arXiv:1503.03407] [INSPIRE].
A. Corichi, J. Cortez and H. Quevedo, On the relation between Fock and Schrödinger representations for a scalar field, Annals Phys. 313 (2004) 446 [hep-th/0202070] [INSPIRE].
J. Cortez, G.A. Mena Marugán and J.M. Velhinho, Quantum unitary dynamics in cosmological spacetimes, Annals Phys. 363 (2015) 36 [arXiv:1509.06171] [INSPIRE].
S.B. Giddings, work in progress.
S.B. Giddings, Hilbert space structure in quantum gravity: an algebraic perspective, JHEP 12 (2015) 099 [arXiv:1503.08207] [INSPIRE].
S.B. Giddings and M. Lippert, Precursors, black holes and a locality bound, Phys. Rev. D 65 (2002) 024006 [hep-th/0103231] [INSPIRE].
W. Donnelly and S.B. Giddings, Diffeomorphism-invariant observables and their nonlocal algebra, Phys. Rev. D 93 (2016) 024030 [Erratum ibid. D 94 (2016) 029903] [arXiv:1507.07921] [INSPIRE].
W. Donnelly and S.B. Giddings, Observables, gravitational dressing and obstructions to locality and subsystems, Phys. Rev. D 94 (2016) 104038 [arXiv:1607.01025] [INSPIRE].
S.B. Giddings and S. Weinberg, work in progress.
S.W. Hawking, The information paradox for black holes, arXiv:1509.01147 [INSPIRE].
S.W. Hawking, M.J. Perry and A. Strominger, Soft hair on black holes, Phys. Rev. Lett. 116 (2016) 231301 [arXiv:1601.00921] [INSPIRE].
S.W. Hawking, M.J. Perry and A. Strominger, Superrotation charge and supertranslation hair on black holes, JHEP 05 (2017) 161 [arXiv:1611.09175] [INSPIRE].
P. Hayden and J. Preskill, Black holes as mirrors: quantum information in random subsystems, JHEP 09 (2007) 120 [arXiv:0708.4025] [INSPIRE].
S.B. Giddings and Y. Shi, Quantum information transfer and models for black hole mechanics, Phys. Rev. D 87 (2013) 064031 [arXiv:1205.4732] [INSPIRE].
L. Susskind, The transfer of entanglement: the case for firewalls, arXiv:1210.2098 [INSPIRE].
S.B. Giddings, Quantization in black hole backgrounds, Phys. Rev. D 76 (2007) 064027 [hep-th/0703116] [INSPIRE].
J. Preskill, Do black holes destroy information?, in proceedinsg of Black holes, membranes, wormholes and superstrings, January 16-18, Houston, U.S.A. (1992), hep-th/9209058 [INSPIRE].
S.B. Giddings, Why aren’t black holes infinitely produced?, Phys. Rev. D 51 (1995) 6860 [hep-th/9412159] [INSPIRE].
L. Susskind, Trouble for remnants, hep-th/9501106 [INSPIRE].
S.W. Hawking, Breakdown of predictability in gravitational collapse, Phys. Rev. D 14 (1976) 2460 [INSPIRE].
S.B. Giddings and W.M. Nelson, Quantum emission from two-dimensional black holes, Phys. Rev. D 46 (1992) 2486 [hep-th/9204072] [INSPIRE].
D.N. Page, Average entropy of a subsystem, Phys. Rev. Lett. 71 (1993) 1291 [gr-qc/9305007] [INSPIRE].
D.N. Page, Information in black hole radiation, Phys. Rev. Lett. 71 (1993) 3743 [hep-th/9306083] [INSPIRE].
S.B. Giddings, Statistical physics of black holes as quantum-mechanical systems, Phys. Rev. D 88 (2013) 104013 [arXiv:1308.3488] [INSPIRE].
A.R. Brown, Tensile Strength and the Mining of Black Holes, Phys. Rev. Lett. 111 (2013) 211301 [arXiv:1207.3342] [INSPIRE].
S. Bravyi, M.B. Hastings and F. Verstraete, Lieb-Robinson bounds and the generation of correlations and topological quantum order, Phys. Rev. Lett. 97 (2006) 050401 [INSPIRE].
S.D. Mathur, The information paradox: a pedagogical introduction, Class. Quant. Grav. 26 (2009) 224001 [arXiv:0909.1038] [INSPIRE].
S.B. Giddings, Gravitational wave tests of quantum modifications to black hole structure — with post-GW150914 update, Class. Quant. Grav. 33 (2016) 235010 [arXiv:1602.03622] [INSPIRE].
L. Susskind and L. Thorlacius, Gedanken experiments involving black holes, Phys. Rev. D 49 (1994) 966 [hep-th/9308100] [INSPIRE].
S.B. Giddings, Observational strong gravity and quantum black hole structure, Int. J. Mod. Phys. D 25 (2016) 1644014 [arXiv:1605.05341] [INSPIRE].
D. Psaltis and T. Johannsen, Sgr A ∗ : the optimal testbed of strong-field gravity, J. Phys. Conf. Ser. 283 (2011) 012030 [arXiv:1012.1602] [INSPIRE].
S.B. Giddings, Beyond Schwarzschild: quantum implications for black holes, presentation at the Karl Schwarzschild Meeting , July 20-24, Frankfurt Institute for Advanced Studies, Frankfurt, Germany (2015).
S.B. Giddings, Plenary discussion: Gravity/Information, presentation at the Karl Schwarzschild Meeting , July 20-24, Frankfurt Institute for Advanced Studies, Frankfurt, Germany (2015).
S.B. Giddings and D. Psaltis, Quantum structure of astrophysical black holes, http://xtreme.as.arizona.edu/∼dpsaltis/?page_id=2757.
D.A. Lowe, J. Polchinski, L. Susskind, L. Thorlacius and J. Uglum, Black hole complementarity versus locality, Phys. Rev. D 52 (1995) 6997 [hep-th/9506138] [INSPIRE].
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Giddings, S.B. Nonviolent unitarization: basic postulates to soft quantum structure of black holes. J. High Energ. Phys. 2017, 47 (2017). https://doi.org/10.1007/JHEP12(2017)047
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DOI: https://doi.org/10.1007/JHEP12(2017)047