Abstract
Various contenders for a complete theory of quantum gravity are at odds with each other. This is in particular seen in the ways they relate to information and black holes, and how to effectively treat quantization of the background spacetime. Modern perspectives on black hole evaporation suggest that quantum gravity effects in the near-horizon region can perturb the local geometry. The approaches differ, however, in the time scale on which one can expect these effects to become important. This panel session presents three points of view on these problems, and considers the ultimate prospect of observational tests in the near future.
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Notes
- 1.
The spectrum at the event horizon is thermal in an extremely accurate approximation according to Hawking’s argument. Small corrections come from the decreasing black hole mass due to evaporation, as well as finite size and shape effects during the emission. An asymptotic observer measures deviations from a thermal spectrum induced by the curved geometry outside the horizon, i.e. greybody factors.
- 2.
This is the system which we consider in this paper if not stated otherwise.
- 3.
As a side remark: the famous 1 / 4 factor of the Bekenstein-Hawking entropy \(S=A/4\) is confusing: if instead of \(G_\mathrm{Newton}=1\) we use units where the proper coupling constant of GR is taken to be unit, namely \(8\pi G_\mathrm{Newton}=1\), then the coefficient of the Bekenstein-Hawking entropy looks far more conventional: \(S=2\pi \, A\).
- 4.
Note for example that there is a cancellation between the interaction of infalling matter with outgoing Hawking particles and with Hawking “partners” behind the horizon [75], which appears to eliminate large effects like those proposed by Gerard.
- 5.
Note that if nonlocality from gravitational dressing indeed is found to play a central role, its effect might also possibly be parameterizable in such a fashion.
- 6.
For a different point of view on this subject, see the footnote at the end of Sect. 2.4.
- 7.
Regarding observational prospects and in direct response to Steve (see Sect. 2.3.4), the by far most likely scenario is that quantum effects will leave no trace in the behavior of kilometer-sized black holes, since we expect, like everywhere else in quantum mechanics, that all phenomena where the length scale, the time scale and the mass scale are way beyond the quantum regime, will be described by classical laws. In this case, these will be Einstein’s equations, so that no deviations from the standard GR results will be seen to occur.
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’t Hooft, G. et al. (2018). Panel Discussion, “The Duel”: The Good, the Bad, and the Ugly of Gravity and Information. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 2nd Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 208. Springer, Cham. https://doi.org/10.1007/978-3-319-94256-8_2
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