La Profilée: Two Worked Cases in Chemistry - Reading the Two Verdicts off Real Reactions

This is a demonstration, not a proof. The purpose of this paper is not to contribute to chemistry; it is to show that the LP translation protocol can be executed on publicly available chemical data without circularity, producing reproducible structural verdicts. The evidential weight of the structural law lies in the recurrence of one role-structure across domains that share nothing else; depth in a single domain does not add to that weight. What a worked case adds is something different and worth having on its own terms: it shows that the operational discipline the law demands — anchoring each role in the domain’s own observables, before any verdict, without circularity — can be carried from raw data to a rendered verdict on a real system. Two reactions are examined, chosen because together they pull the law’s two verdicts apart. In the first, a single bond is cleaved and the law returns not the same. In the second, several bonds reorganize at once and the law returns the same. That a reaction with far more bonding change preserves identity, while one with far less destroys it, is the point: identity, on this account, is not a measure of how much bonding was disturbed. The two cases are the cleanest way to show the existence verdict and the identity verdict coming apart on real data, each read by the same disciplined procedure.