Explicit-cutoff derivations
The argument
Because models that modify the dispersion relation so that trans-Planckian frequencies never occur still yield the thermal spectrum at the Hawking temperature, at least one class of derivations demonstrably produces Hawking radiation while excluding trans-Planckian frequencies outright.
Does it work?
Not yet evaluated.
Premises
- UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →Modified trans-Planckian dispersion relations in black-hole models preserve the thermal spectrum at the Hawking temperature.
Where it is made
Passages where sources make, criticize or mention this argument. They record where it appears, not how strong it is, and none has precedence over another.
No source is recorded as making it.
Earlier ratings
- Aug 9, 2026
The inference is direct: a derivation in which trans-Planckian frequencies are excluded by construction, yet which still produces the thermal spectrum, demonstrates avoidability outright. The argument stands or falls with the dispersive-model result that modified dispersion relations preserve the thermal spectrum at the Hawking temperature, which the literature from Unruh's sonic model onward supports, though the conditions under which that insensitivity holds are the opening the counter-argument exploits.