The Shape of Things Developmental Geometry Arc 2: The Analytic Framework Volume III — Energy and Classification

Volume III of Arc 2 of the Developmental Geometry series (Books 22–24), completing the trilogy The Shape of Things. This volume assigns energy structure to the framework established in Volumes I and II, derives the periodic organisation of all generative systems, and presents the DG method as a unified scientific procedure. Book 22 — Developmental Energy establishes that the total developmental cost accumulated along a trajectory is the developmental energy of the system. Four force potential functions are introduced — curvature energy, reconciliation energy, continuation energy, and boundary energy — as the scalar fields whose gradients give the four forces of Book 19. Their sum defines the energy landscape;…