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Firewalls as artefacts of inconsistent truncations of quantum geometries
Authors:Cristiano Germani  Debajyoti Sarkar
Abstract:In this paper we argue that a firewall is simply a manifestation of an inconsistent truncation of non‐perturbative effects that unitarize the semiclassical black hole. Namely, we show that a naive truncation of quantum corrections to the Hawking spectrum at order urn:x-wiley:15213978:media:prop201500057:prop201500057-math-0001, inexorably leads to a “localised” divergent energy density near the black hole horizon. Nevertheless, in the same approximation, a distant observer only sees a discretised spectrum and concludes that unitarity is achieved by urn:x-wiley:15213978:media:prop201500057:prop201500057-math-0002 effects. This is due to the fact that instead, the correct quantum corrections to the Hawking spectrum go like urn:x-wiley:15213978:media:prop201500057:prop201500057-math-0003. Therefore, while at a distance far away from the horizon, where urn:x-wiley:15213978:media:prop201500057:prop201500057-math-0004, quantum corrections are perturbative, they do diverge close to the horizon, where urn:x-wiley:15213978:media:prop201500057:prop201500057-math-0005. Nevertheless, these “corrections” nicely re‐sum so that correlations functions are smooth at the would‐be black hole horizon. Thus, we conclude that the appearance of firewalls is just a signal of the breaking of the semiclassical approximation at the Page time, even for large black holes.
Keywords:Black holes  information paradox  quantum gravity
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