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The Black Hole Information Paradox and the Collapse of the Wave Function

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Abstract

The black hole information paradox arises from an apparent conflict between the Hawking black hole radiation and the fact that time evolution in quantum mechanics is unitary. The trouble is that while the former suggests that information of a system falling into a black hole disappears, the latter implies that information must be conserved. In this work we discuss the current divergence in views regarding the paradox, we evaluate the role that objective collapse theories could play in its resolution and we propose a link between spontaneous collapse events and microscopic virtual black holes.

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Notes

  1. Technically, this is reflected in the fact that, while at earlier times we can find Cauchy hyper-surfaces completely contained in the outside region, at very late time we can only find Cauchy hyper-surfaces that have parts in the exterior and parts in the interior regions.

  2. See [3]; also see [4, 5] for a similar prediction from different assumptions.

  3. For instance, there are strong experimental bounds on the parameter \(\lambda \) appearing in the GRW and CSL theories (see [12] and references therein).

  4. Two notable exceptions are [14] and [15]. Penrose argues for a proposal based on statistical considerations in the context of a box containing an evaporating black hole in equilibrium with its environment. Hawking, in turn, points out that information loss in macroscopic black holes implies information loss in microscopic, virtual black holes, from which he concludes that quantum evolution cannot be unitary (as is well known, he latter changed his mind on the subject).

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Acknowledgments

We acknowledge partial financial support from DGAPA-UNAM project IA400114 (EO) and CONACyT project 220738 (DS).

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Correspondence to Elias Okon.

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Okon, E., Sudarsky, D. The Black Hole Information Paradox and the Collapse of the Wave Function. Found Phys 45, 461–470 (2015). https://doi.org/10.1007/s10701-015-9877-6

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