Existence Without Identity: Transmutation as a Structural Regime in La Profilée

La Profilée formalizes persistence under real transformation through the constraint IR = R / (F · I · C) ≤ 1. This condition governs existential continuity: a system persists if and only if its integration capacity absorbs incoming transformation load. The present paper identifies a structural gap in this account. IR is an existence condition — it does not determine whether a persisting system remains the same system. A system may satisfy IR ≤ 1 while its Frame has drifted beyond the boundary of its original persistence class. In this case the system exists but is no longer identical to itself. We formalize this distinction through the Frame Continuity Condition (FCC) and define Transmutation as the regime in which IR ≤ 1 holds while FCC is violated. Transmutation is shown to be structurally irreducible to both Persistence and Collapse. The result closes a gap at the core of LP: the framework was constructed to answer the Heraclitean–Parmenidean problem, and FCC is the condition that completes that answer.