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  • Letter
  • Open Access

Evaporating black holes and late-stage loss of soft hair

Peng Cheng*

  • Center for Joint Quantum Studies and Department of Physics, Tianjin University, 300350 Tianjin, People’s Republic of China and Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, Netherlands

  • *p.cheng.nl@outlook.com

Phys. Rev. D 106, L061904 – Published 21 September, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L061904

Abstract

We present a paradox for evaporating black holes, which is common in most schemes trying to avoid the firewall by decoupling early and late radiation. At the late stage of the black hole evaporation, the decoupling between early and late radiation cannot be realized because the black hole has a very small coarse-grained entropy, then we are faced with the firewall again. We call the problem the hair-loss paradox as a pun on losing black hole soft hair during the black hole evaporation and the situation that the information paradox has put so much pressure on researchers.

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References (31)

  1. S. W. Hawking, Breakdown of predictability in gravitational collapse, Phys. Rev. D 14, 2460 (1976).
  2. A. Almheiri, D. Marolf, J. Polchinski, and J. Sully, Black holes: Complementarity or firewalls?, J. High Energy Phys. 02 (2013) 062.
  3. D. N. Page, Information in Black Hole Radiation, Phys. Rev. Lett. 71, 3743 (1993).
  4. D. N. Page, Time dependence of Hawking radiation entropy, J. Cosmol. Astropart. Phys. 09 (2013) 028.
  5. B. M. Terhal, Is entanglement monogamous?, IBM J. Res. Dev. 48, 71 (2004).
  6. D. Harlow and P. Hayden, Quantum computation vs. firewalls, J. High Energy Phys. 06 (2013) 085.
  7. S. Aaronson, The complexity of quantum states and transformations: From quantum money to black holes, arXiv:1607.05256.
  8. L. Susskind, L. Thorlacius, and J. Uglum, The stretched horizon and black hole complementarity, Phys. Rev. D 48, 3743 (1993).
  9. Y. Kiem, E. Verlinde, and H. Verlinde, Black hole horizons and complementarity, Phys. Rev. D 52, 7053 (1995).
  10. D. A. Lowe, J. Polchinski, L. Susskind, L. Thorlacius, and J. Uglum, Black hole complementarity vs. locality, Phys. Rev. D 52, 6997 (1995).
  11. B. Yoshida, Observer-dependent black hole interior from operator collision, Phys. Rev. D 103, 046004 (2021).
  12. B. Yoshida and A. Kitaev, Efficient decoding for the Hayden-Preskill protocol, arXiv:1710.03363.
  13. P. Hosur, X.-L. Qi, D. A. Roberts, and B. Yoshida, Chaos in quantum channels, J. High Energy Phys. 02 (2016) 004.
  14. B. Yoshida, Soft mode and interior operator in the Hayden-Preskill thought experiment, Phys. Rev. D 100, 086001 (2019).
  15. S. Pasterski and H. Verlinde, HPS meets AMPS: How soft hair dissolves the firewall, J. High Energy Phys. 09 (2021) 099.
  16. R. Li and J. Wang, Hayden-Preskill protocol and decoding Hawking radiation at finite temperature, Phys. Rev. D 106, 046011 (2022).
  17. D. Petz, Sufficiency of channels over von Neumann algebras, Q. J. Mech. Appl. Math. 39, 97 (1988).
  18. M. O. Denes Petz, Quantum Entropy and Its Use (Springer, Berlin, Heidelberg, 2004).
  19. P. Cheng and Y. An, Soft black hole information paradox: Page curve from Maxwell soft hair of a black hole, Phys. Rev. D 103, 126020 (2021).
  20. E. Himwich, S. A. Narayanan, M. Pate, N. Paul, and A. Strominger, The soft S-matrix in gravity, J. High Energy Phys. 09 (2020) 129.
  21. A. Strominger, Lectures on the infrared structure of gravity and gauge theory, arXiv:1703.05448.
  22. L. Donnay, G. Giribet, H. A. González, and M. Pino, Supertranslations and Superrotations at the Black Hole Horizon, Phys. Rev. Lett. 116, 091101 (2016).
  23. S. W. Hawking, M. J. Perry, and A. Strominger, Soft Hair on Black Holes, Phys. Rev. Lett. 116, 231301 (2016).
  24. P. Cheng and P. Mao, Soft theorems in curved spacetime, arXiv:2206.11564.
  25. É. É. Flanagan, Order-Unity Correction to Hawking Radiation, Phys. Rev. Lett. 127, 041301 (2021).
  26. É. É. Flanagan, Infrared effects in the late stages of black hole evaporation, J. High Energy Phys. 07 (2021) 137.
  27. G. Penington, S. H. Shenker, D. Stanford, and Z. Yang, Replica wormholes and the black hole interior, J. High Energy Phys. 03 (2022) 205.
  28. A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, Replica wormholes and the entropy of Hawking radiation, J. High Energy Phys. 05 (2020) 013.
  29. M. A. Abramowicz, W. Kluźniak, and J. P. Lasota, Mass of a Black Hole Firewall, Phys. Rev. Lett. 112, 091301 (2014).
  30. Y. Aharonov, A. Casher, and S. Nussinov, The unitarity puzzle and Planck mass stable particles, Phys. Lett. B 191, 51 (1987).
  31. R. J. Adler, P. Chen, and D. I. Santiago, The generalized uncertainty principle and black hole remnants, Gen. Relativ. Gravit. 33, 2101 (2001).

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