Abstract
We give general overview of a novel approach, recently developed by us, to address the issue black hole information paradox. This alternative viewpoint is based on theories involving modifications of standard quantum theory, known as “spontaneous dynamical state reduction” or “wave-function collapse models” which were historically developed to overcome the notorious foundational problems of quantum mechanics known as the “measurement problem”. We show that these proposals, when appropriately adapted and refined for this context, provide a self-consistent picture where loss of information in the evaporation of black holes is no longer paradoxical.
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Notes
- 1.
More precisely, region I’, although flat, is also part of the interior of the event horizon as nothing in that region can ever reach \({\mathscr {I}}_R^+\).
- 2.
Up to the regime where we expect the validity of standard space-time notions as provided by General Relativity.
References
A. Almheiri, D. Marolf, J. Polchinski, J. Sully, Black holes: complementarity or firewalls? JHEP 1302, 062 (2013)
T. Banks, L. Susskind, M.E. Peskin, Difficulties for the evolution of pure states into mixed states. Nucl. Phys. B 244, 125 (1984)
A. Bassi, G.C. Ghirardi, Dynamical reduction models. Phys. Reports 379, 257 (2003)
A. Bassi, K. Lochan, S. Satin, T.P. Singh, H. Ulbricht, Models of wave-function collapse, underlying theories, and experimental tests. Rev. Mod. Phys. 85, 471 (2013)
D. Bedingham, Relativistic state reduction model. J. Phys. Conf. Ser. 306, 012034 (2011)
D. Bedingham, S.K. Modak, D. Sudarsky, Relativistic collapse dynamics and black hole information loss. arXiv:1604.06537 [gr-qc]
J. Bell, Against measurement (1990)
C.G. Callan, S.B. Giddings, J.A. Harvey, A. Strominger, Evanescent black holes. Phys. Rev. D 45, R1005 (1992)
A. Fabbri, J. Navarro-Salas, Modeling Black Hole Evaporation (Imperial College Press, London, 2005)
G. Ghirardi, A. Rimini, T. Weber, A model for a unified quantum description of macroscopic and microscopic systems, in Quantum Probability and Applications, ed. by A.L. Accardi (Springer, Heidelberg, 1985), pp. 223–232
G. Ghirardi, A. Rimini, T. Weber, Unified dynamics for microscopic and macroscopic systems. Phys. Rev. D 34, 470 (1986)
G. Ghirardi, P. Pearle, A. Rimini, Markov-processes in Hilbert-space and continuous spontaneouslocalization of systems of identical particles. Phys. Rev. A 42, 7889 (1990)
G. Ghirardi, R. Grassi, P. Pearle, Relativistic dynamical reduction models: general framework and examples. Found. Phys. (J.S. Bell’s 60th birthday issue) 20, 1271 (1990)
S.B. Giddings, W.M. Nelson, Quantum emission from two-dimensional black holes. Phys. Rev. D 46, 2486 (1992)
S.W. Hawking, Breakdown of predictability in gravitational collapse. Phys. Rev. D 14, 2460 (1976)
K. Lochan, S. Chakraborty, T. Padmanabhan, Information retrieval from black holes. arXiv:1604.04987 [gr-qc]
K. Lochan, T. Padmanabhan, Extracting information about the initial state from the black hole radiation. Phys. Rev. Lett. 116(5), 051301 (2016)
S.D. Mathur, The Information paradox: a pedagogical introduction. Classic. Quantum Gravity 26, 224001 (2009)
S.K. Modak, L. Ortíz, I. Peña, D. Sudarsky, Non-paradoxical loss of information in black hole evaporation in a quantum collapse model. Phys. Rev. D 91(12), 124009 (2015)
S.K. Modak, L. Ortíz, I. Peña, D. Sudarsky, Black hole evaporation: information loss but no paradox. Gen. Rel. Grav. 47(10), 120 (2015)
E. Okon, D. Sudarsky, Benefits of objective collapse models for cosmology and quantum gravity. Found. Phys. 44, 114–143 (2014)
E. Okon, D. Sudarsky, The black hole information paradox and the collapse of the wave function. Found. Phys. 45, 461–470 (2015)
P. Pearle, Reduction of the state vector by a nonlinear Schrodinger equation. Phys. Rev. D 13, 857 (1976)
P. Pearle, Towards explaining why events occur. Int. J. Theor. Phys. 18, 489 (1979)
P. Pearle, Combining stochastic dynamical state-vector reduction with spontaneous localization. Phys. Rev. A 39, 2277–2289 (1989)
P. Pearle, Collapse models. arXiv: quant-ph/9901077
P. Pearle, Collapse Miscellany. Contributed in 80th birthday Issue of Yakir Aharanov. arXiv:1209.5082 [quant-ph]
P. Pearle, Toward a relativistic theory of statevector reduction, in Sixty-Two Years of Uncertainty, ed. by A. Miller (Plenum, New York, 1990), pp. 193–214
P. Pearle, A relativistic dynamical collapse model. arXiv:1412.6723 [quant-ph]
R. Penrose, Newton, quantum theory and reality, in Three Hundred Years of Gravitation, ed. by S.W. Hawking, W. Israel (Cambridge University Press, New York, 1989), p. 17
R. Penrose, On gravity’s role in quantum state reduction. General Relativ. Gravit. 28, 581 (1996)
L. Susskind, L. Thorlacius, J. Uglum, The stretched horizon and black hole complementarity. Phys. Rev. D 48, 3743 (1993)
R. Tumulka, A relativistic version of the Ghirardi–Rimini–Weber model. J. Stat. Phys. 125, 821 (2006)
R. Tumulka, On spontaneous wave function collapse and quantum field theory. Proc. R. Soc. A 462, 1897 (2006)
W.G. Unruh, R.M. Wald, On evolution laws taking pure states to mixed states in quantum field theory. Phys. Rev. D 52, 2176–2182 (1995)
Acknowledgements
We want to thank our collaborators E. Okon, L. Ortíz, I. Peña, D. Bedingham for their involvement and contribution towards this project. SKM is an International Research Fellow of Japan Society for the Promotion of Science. This research is partly funded by Grant-in-Aid to JSPS fellows (KAKENHI-PROJECT-15F15021). DS acknowledges partial financial support from DGAPA-UNAM project IG100316 and by CONACyT project 101712.
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Modak, S.K., Sudarsky, D. (2017). Modelling Non-paradoxical Loss of Information in Black Hole Evaporation. In: Bagla, J., Engineer, S. (eds) Gravity and the Quantum. Fundamental Theories of Physics, vol 187. Springer, Cham. https://doi.org/10.1007/978-3-319-51700-1_18
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