Prose Version - Persistence Dynamics: Structural Trajectories, Attractors, and Instability Basins in the LP Phase Space

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.