Hidden trans-Planckian assumptions
The argument
Because the alternative derivations implicitly assume the quantum state is regular across the horizon at arbitrarily short distances, and because the dispersive insensitivity results hold only under conditions such as a free-falling vacuum at the cutoff scale and adiabatic evolution, the alternatives arguably relocate the trans-Planckian input into assumptions about short-distance physics rather than eliminating it, so the avoidance is of explicit trans-Planckian frequencies, not of trans-Planckian physics altogether.
Does it work?
Not yet evaluated.
Premises
- SupportedThe evidence favors the claim, but the examination is incomplete or the evidence is indirect.constitution →Alternative derivations of Hawking radiation implicitly assume the quantum state is regular across the horizon at arbitrarily short distances.
- SupportedThe evidence favors the claim, but the examination is incomplete or the evidence is indirect.constitution →The Hawking spectrum's insensitivity to modified dispersion holds only under conditions such as a free-falling vacuum and adiabatic evolution.
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
Granting its premises, the argument establishes that the alternatives relocate short-distance input into their assumptions rather than eliminating trans-Planckian physics altogether, and both premises are well grounded: the assumed regularity of the state across the horizon and the free-fall-vacuum and adiabaticity conditions of the dispersive results each stand supported. The caveat is one of target: hidden assumptions about trans-Planckian physics are not appeals to trans-Planckian frequencies, so the argument qualifies the claim's significance without contradicting it as worded. Its full force lands on the neighboring question of whether the derivation of Hawking radiation depends on unknown trans-Planckian physics.