Book 10: Collapse Mechanics in Developmental

Book 10 develops the collapse‑mechanics layer of Developmental Geometry, unifying the geometric framework of Books 5–8 with the discrete substrate of Book 9. Three structural principles govern collapse‑driven evolution: Curvature Transference: structural complexity is converted into curvature under collapse. Curvature Neutralization: curvature in excess of capacity is forcibly removed. Developmental Energy: a curvature‑weighted energy functional decreases monotonically under collapse and provides the variational structure for the developmental flow. Together these principles form the collapse calculus, a unified framework in which the collapse operator, the corridor geometry, the tightening lemma, and the…