Modified-dispersion calculations
The argument
Because recomputing the spectrum with modified trans-Planckian dispersion still yields thermal emission at the Hawking temperature, as found independently by Unruh, by Brout, Massar, Parentani and Spindel, and by Corley and Jacobson for both subluminal and superluminal modifications, the prediction does not depend on the form of the dispersion relation in the trans-Planckian regime.
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
- Jul 19, 2026
The inference is sound as far as it reaches: if the spectrum is unchanged when the dispersion relation is altered, the prediction does not depend on the altered physics. It rests almost entirely on the modified-dispersion calculations preserving the thermal spectrum, which is undisputed as a mathematical result. The caveat is one of scope: the calculations cover particular families of modifications under particular conditions, so they establish insensitivity to a broad class rather than to arbitrary trans-Planckian physics.