La Profilée — Core Consequences of the Persistence Condition

This paper states the core consequences of the persistence condition established in La Profilée. La Profilée defines a necessary structural condition for the persistence of systems under real transformation. It does not describe system-specific dynamics, but constrains the set of structurally admissible evolutions. From this condition it follows that sustained structural overload (IR > 1) is not stable: in the absence of effective intervention, integration capacity necessarily decreases, relative load increases, and the system is driven toward structural breakdown. Conversely, stabilization is only possible below the persistence boundary and requires active conversion of available integration capacity into structural integration. The results establish that persistence under transformation is not contingent, but structurally constrained. The condition entails directional necessity under overload, a minimal and irreducible set of effective interventions, a structural criterion for reversibility, and a precise falsification condition.