Trans-Planckian Tail in a Theory with a Cutoff
arXiv:gr-qc/9606083 · doi:10.1103/PhysRevD.55.2152
Abstract
Trans-planckian frequencies can be mimicked outside a black-hole horizon as a tail of an exponentially large amplitude wave that is mostly hidden behind the horizon. The present proposal requires implementing a final state condition. This condition involves only frequencies below the cutoff scale. It may be interpreted as a condition on the singularity. Despite the introduction of the cutoff, the Hawking radiation is restored for static observers. Freely falling observers see empty space outside the horizon, but are "heated" as they cross the horizon.
17 pages, RevTex
References in corpus (6)
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Hawking Spectrum and High Frequency Dispersion
- Hawking Radiation Without Transplanckian Frequencies
- On the Origin of the Outgoing Black Hole Modes
- On a Time Symmetric Formulation of Quantum Mechanics
- Superoscillations and trans-Planckian frequencies
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