Trans-Planckian Modes, Back-Reaction, and the Hawking Process

摘要

Hawking's prediction of black-hole evaporation depends on the application ofknown physics to fantastically high energies -- well beyond the Planck scale.Here, I show that before these extreme regimes are reached, another physicaleffect will intervene: the quantum backreaction on the collapsing matter andits effect on the geometry through which the quantum fields propagate. Theseeffects are estimated by a simple thought experiment. When this is done, itappears that there are no matrix elements allowing the emission of Hawkingquanta: black holes do not radiate.