A confrontation of the transplanckian problem of black-hole physics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Using the non-local commutation relations, as formulated by Kempf et al., we have examined the equations governing the behavior of the outgoing modes that are responsible for Hawking evaporation of black holes. Though originally inspired by the interaction of the outgoing masless modeswith the higher massive modes of string theory, reservoir modes, we may well conjecture that the relevant origin of non-locallity is the interaction with gravitational fluctuations. As expected, the scale of non-locality becomes significant near the horizon. In particular, the conventional Hawking behavior breaks down at order of the frequency of the modes divided by Hawking temperature (in units of the length scale of non-locality). The mechanism of Hawking radiation in this regime is the boiling off of pairs from this "zone of ignorance" which straddles the horizon. We conjecture that the origin of black hole entropy lies therein.

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