Prose Version of The Closure of the Persistence Architecture: Primitive Conditions, Derived Structures, and the Limits of LP

This is the prose companion to La Profilée Foundation Series Paper 005 — The Closure of the Persistence Architecture (DOI: 10.5281/zenodo.20288138). The formal paper establishes that the LP architecture is complete: M1–M3 form a finite primitive basis, the derivational hierarchy is closed, the derived structures (stability, fragility, resilience, memory, irreversibility) are all structural consequences of the primitives, and no additional primitive conditions are required. This prose version presents the closure argument in continuous prose — what it means for a theory to be closed, why the Foundation Series achieves closure, what falls within LP’s scope and what lies beyond it.