Analyzes certified discovery mechanisms in scientific claims, indicating substantial risks and validation challenges.
"The model found X" is not yet a scientific sentence. We make it one: a certified discovery is a reproducible irreducibility tuple (atom, context, signed effect, claim radius, unlock profile, search budget), its falsehood split into gate-FDP, misattribution, and dark mass. We qualify a propose-and-certify instrument on a real Gram under preregistered locks (6/6), race proposers through it (misattribution .497→.136, gate-FDP $0$), ship a claims product with calibrated stability tiers (P(true)=.986) and a transport refusal, and state five postdicting laws; a preregistered falsifier then killed one law's depth-location form in public; the revised law carries the scar. A second layer prices the instrument: excess risk is exactly dark mass plus degrees of freedom; a two-sided certification toll Θ(κd\,b√log P/N)\,σ² bounds honesty's cost against any black box; a penumbra identity makes the toll refundable in predictions yet owed in claims; a parity phase diagram maps where refusal, black box, and completed certified model win. The margin over the frame-blind class is exact, decidable, positive far before completion; the lasso path loses 2κₛlog(P/κₛ) to it. The theory is graded like the instrument: 12/15 locks hit, every miss diagnosed under predictions stated in advance.
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Oussama Souihli (2026) studied this question.
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