This is the prose companion to La Profilée Foundation Series Paper 003 — Persistence Dynamics (DOI: 10.5281/zenodo.20287556). The formal paper derives the admissibility gradient — the directional structure of the LP phase space that governs how persistent systems move — and establishes structural stability and instability as properties intrinsic to LP, not imported from dynamical systems theory. This prose version presents the same dynamics in continuous prose: why transformation generates directed structural force, why trajectories in different regions of the phase space behave asymmetrically, and why the recovery path always runs counter to the degradation path.
Marc Maibom (Tue,) studied this question.