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Black Holes: Complementarity or Firewalls? (1207.3123v4)

Published 13 Jul 2012 in hep-th and gr-qc

Abstract: We argue that the following three statements cannot all be true: (i) Hawking radiation is in a pure state, (ii) the information carried by the radiation is emitted from the region near the horizon, with low energy effective field theory valid beyond some microscopic distance from the horizon, and (iii) the infalling observer encounters nothing unusual at the horizon. Perhaps the most conservative resolution is that the infalling observer burns up at the horizon. Alternatives would seem to require novel dynamics that nevertheless cause notable violations of semiclassical physics at macroscopic distances from the horizon.

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Summary

  • The paper demonstrates that the three accepted principles of black hole complementarity are mutually incompatible.
  • It employs thought experiments with naturally produced Hawking pairs to test the limits of semiclassical physics at the event horizon.
  • Key implications include the potential need for new nonlocal dynamics or modifications in quantum gravity to resolve the black hole information paradox.

Black Holes: Complementarity or Firewalls?

The paper "Black Holes: Complementarity or Firewalls?" contributes to the ongoing discourse surrounding the black hole information paradox, a conflict between the principles of quantum mechanics and general relativity. This paradox concerns whether information that falls into a black hole is lost forever when the black hole evaporates, in seeming contradiction to the principles of quantum mechanics that dictate information's preservation.

Core Argument

The authors grapple with three foundational statements that traditionally hold in the context of black holes and quantum mechanics:

  1. Hawking radiation is in a pure state.
  2. The information within Hawking radiation is emitted from a region near the horizon, validating low-energy effective field theory at a microscopic distance from the horizon.
  3. An observer falling into a black hole encounters nothing unusual at the horizon.

The crux of their argument is that these three statements cannot all concurrently hold true. The resolution that they explore is that the infalling observer may encounter high-energy particles that effectively "burn" them at the horizon, a phenomenon often referred to as a "firewall."

Thought Experiments and Analysis

Through a series of thought experiments building on prior work by Susskind and Thorlacius, the authors challenge the consistency of black hole complementarity. By considering naturally produced Hawking pairs instead of introducing extra entangled bits, they assert that if the external observation of Hawking radiation is as it is presently understood, then the infalling observer must experience high-energy quanta at the horizon. Moreover, this analysis suggests that if the purity of Hawking radiation is retained, then the absence of "drama" for the infalling observer leads to a violation of semiclassical physics.

Implications and Alternatives

The implications of this paper are profound: if the infalling observer indeed encounters what is essentially a "firewall," it calls into question the widely accepted smoothness of the event horizon, challenging the notion that black holes are mere classical geometrical regions. Alternatively, maintaining conventional physics outside the event horizon would necessitate novel nonlocal dynamics extending macroscopic distances, significantly overturning accepted tenets of semiclassical gravity.

Future Directions

Should the firewall proposal gain acceptance, it would likely prompt a re-evaluation of foundational assumptions regarding black hole thermodynamics and the nature of spacetime. Conversely, if physics outside the horizon is modified in some unknown way, this might open avenues for a deeper understanding of quantum gravity and possibly uncover mechanisms that preserve infalling observers' experience while maintaining the purity of Hawking radiation.

Conclusion

This paper highlights the intricate challenges faced when reconciling aspects of quantum mechanics with general relativity in the context of black holes. It underscores the necessity of further theoretical innovations, possibly beyond established models, to resolve the black hole information paradox. The discourse on black holes, their structure, and the nature of information continues to be a fertile ground for theoretical physics, with significant implications for our understanding of the universe.

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