La Profilée (LP) specifies a universal necessary condition for structural persistence: the Integration Ratio IR = R / (F · I) must remain at or below 1. Prior publications have proposed and formally developed this condition as a candidate universal law of physical persistence, derived from minimal assumptions about distinguishable states, physically realisable transformations, and identity relations, and have demonstrated its formal correspondence to thermodynamic identity-entropy balance. This paper applies LP to five physical systems spanning seventeen orders of magnitude in length scale — from quantum decoherence at the sub-atomic level to stellar evolution and gravitational collapse into black holes. Each system is analysed using LP's canonical decomposition into Frame (F), Module (M), and Coupling (C), and the Integration Ratio IR = R / (F · I) as the structural persistence boundary. The five cases — quantum decoherence, phase transitions, Bénard convection, stellar evolution, and black hole formation — are physically distinct in substrate, energy scale, governing force, and temporal dimension. Under structural analysis, all five admit a consistent LP reading: the persistence condition IR ≤ 1 is structurally consistent with the known stability boundaries in each domain, and the known collapse conditions are structurally consistent with IR > 1. The paper makes no claim to replace domain-specific physical theories or to produce new numerical predictions within those domains. Its contribution is different: LP specifies what kind of event a physical threshold marks — not when it is crossed, which domain theories already determine, but what structurally collapses and what structurally survives. Across all five cases, the decisive structural events can be read as transformations in which Module organisation fails, reorganises, or disappears while a Frame-level invariant persists. This is a structural classification that standard physical descriptions do not draw explicitly. Making it explicit, and showing that the same classification applies across seventeen orders of magnitude and every fundamental force, is the paper's primary contribution.
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Marc Maibom
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Marc Maibom (Fri,) studied this question.
www.synapsesocial.com/papers/69c8c3bdde0f0f753b39eae5 — DOI: https://doi.org/10.5281/zenodo.19263184