La Profilée - Structural Direction: Drift, Attractors, and Irreversibility within the Persistence Regime

La Profilée’s persistence condition IR = R / (F · I · C) ≤ 1 specifies whether a system can persist under transformation. It does not specify how a system develops within the persistence regime. Two systems can both satisfy IR ≤ 1 and follow structurally distinct trajectories: one exhibiting monotone reconfiguration of F_constitutive along admissible paths in Gamma* (drift), one held by the inward structural ordering of its local admissible neighborhood (attractor), one traversing a path from which return is excluded by the acyclicity of Gamma* (irreversibility). Direction within the persistence regime is not introduced as an additional layer of LP. It is already contained in the SCC-condensation structure established in the foundational series: the condensation graph Gamma* is a directed acyclic graph, and this DAG structure induces a partial order on identity classes that constitutes structural direction. Drift is a trajectory preserving IR ≤ 1 and FCC while inducing non-trivial monotone reconfiguration of F_constitutive along admissible paths in Gamma*. Attractors are identity classes whose local admissible neighborhood — defined by single-step admissible reachability — is directed by Gamma* back into that class. Irreversibility is the asymmetry of the DAG: no directed path from [B] to [A] exists when a directed path from [A] to [B] exists. The paper establishes that structural direction is a necessary consequence of LP’s architecture, not an extension of it.