Orbital Basin Dynamics at the Edge of the Solar System: The Kuiper Cliff as a Finite‑Width Boundary Transition

This paper develops the Kuiper Cliff as a finite‑width boundary transition within Pattern Field Theory (PFT). Using retained OSSOS EOLH audit data, it identifies a Neptune‑anchored boundary structure in which retained classical continuation drops to zero beyond the candidate 5/3 Rationic marker while resonant, scattered, and detached populations remain present.

The paper introduces Rationic Boundary Crossover, Mensura, Dominion Crossover, Nested Manifestations, and AOL substrate redistribution as Engineering Physics structures for analyzing cross‑scale boundary behavior. The universal scale ladder connects the Kuiper Cliff audit to hydrogen ground‑state radial inflection, Drosophila Bicoid–Hunchback boundary formation, TRAPPIST‑1 compact orbital architecture, and the PFT reinterpretation of dark energy as basin‑redistribution geometry.