Prose Version of The Architecture of Persistent Identity: A Complete Derivation

This is the prose companion to La Profilée Foundation Series Paper 000 — The Architecture of Persistent Identity: A Complete Derivation (DOI: 10.5281/zenodo.20285599). The formal paper derives the complete LP architecture from the impossibility of complete undifferentiation through three minimal structural conditions, establishing the Frame–Module–Coupling structure, the persistence condition IR = R/(F·M·K) ≤ 1, the Frame Continuity Condition, and the six universal sub-regimes. This prose version follows the same derivation without formal notation — accessible to readers who prefer continuous prose over symbolic argument. It covers the pre-axiomatic foundation, the three minimal conditions, the forced structural decomposition, the persistence boundary, identity continuity, regime exhaustion, and the LP Equivalence Theorem.