Reasoning:
- Hawking’s 1975 result follows from very basic features of quantum theory in curved spacetime: near any event horizon, vacuum pair creation is unavoidable; when one member of a created pair falls in, the other escapes, draining mass. Evaporation power grows as the hole shrinks, so a TeV-mass hole disintegrates on timescales vastly shorter than its transit time to the detector wall.
- Validity does not depend on the specific gravity model: the report states the mechanism survives in the extra-dimensional scenarios that are the only route to producing black holes at the LHC in the first place. Suppressing it would require abandoning general relativity or quantum mechanics in curved space.
- Honest limitation, explicitly conceded: the mechanism is theoretical — no direct experimental confirmation exists — which is why the report goes on to treat the hypothetical stable case by independent empirical arguments rather than resting the safety case on Hawking radiation alone.
Validity verdict (step 6)
Reconstruction: premises = semiclassical QFT in curved spacetime; conclusion = all horizons radiate, so TeV-mass holes evaporate essentially instantly (T ∝ 1/M scaling - that final step is checked and elementary). The load-bearing step is Hawking’s derivation itself and its survival in the extra-dimensional scenarios - a specialist multi-page calculation not feasibly traced here; the pair-creation picture in the body is a heuristic gloss, not the derivation. Trusted, kept defensible by convergence: several independent derivation routes (collapse-background QFT, past-horizon boundary conditions, thermodynamic consistency at kappa/2pi - cf. A-38, A-34, A-40) reach the same flux, with no accepted refutation; the statement itself concedes the absence of direct experimental detection.