La Profilée - Falsification Pressure: On the Conditions Required to Refute the Persistence Structure

Papers 103, 122, and 123 establish that the persistence problem induces its admissibility regime (C1–C3), the unique admissible persistence structure is IR = R/(F·M·K) ≤ 1, and no alternative formulation of persistence exists outside trivialization, indeterminacy, or structural equivalence. This paper addresses a different question: what would be required to falsify La Profilée? The result is precise: any successful falsification must target one of a small set of structural points. Each point imposes a strong constraint — either the persistence problem itself collapses, or a contradiction must be demonstrated within a formally derived necessity, or a counterexample must violate a cross-domain invariant. The paper defines the falsification pressure of LP: the minimal conditions any refutation must satisfy.