La Profilée - The Law Beneath the Laws - Admissibility Necessity, Lawhood Conditions, and the Meta-Constraint Status of La Profilée

The Persistence Admissibility Theorem (PAT) establishes that within the full admissibility class C (Conditions 1–7), the unique persistence law is R ≤ F·M·K. Papers 82–83 established that Conditions 4–7 are necessary for lawhood and that local persistence is inconsistent. Physical lawhood is the canonical, empirically most constrained realization of law-governed description under transformation. Throughout this paper, law-governed description is the governing concept; physical lawhood is its most verifiable instantiation. The structural requirements derived are not specific to physics but apply to any formalism yielding a determinately applicable rule-structure over systems undergoing transformation. Physics is the canonical realization of this class — not its boundary. The remaining question: are the admissibility conditions themselves grounded in physical reality, or imposed from outside? This paper derives that Conditions 4–7 are not assumed but necessarily instantiated in every law-governed formalism describing systems under transformation — with physics as the canonical, most constrained instantiation. The derivation proceeds in three stages. First: three canonical formalism classes (quantum mechanics, statistical mechanics, continuum dynamics) each independently force Conditions 4–7 through their internal structure. Second: the Viability Necessity Theorem establishes that any law-governed formalism — not just existing physical theories — must instantiate Conditions 4–7. Third: the Dynamical Law Presupposition Theorem establishes that every dynamical law presupposes persistent referents. The conclusion is formally non-circular: La Profilée is not one domain-law among others. It is the structural meta-constraint necessarily instantiated by every law-governed description of persistent systems.