Spectral Coherence on the Developmental Attractor

Paper 3 — Description (plain text, paste-safe): A temporal spectral coherence theorem for the developmental flow restricted to its global attractor. The discrete developmental flow of Developmental Geometry (Books 5, 6, 8, 9), shown to possess a unique global attractor A_dev in the companion Global Attractor paper, induces a Koopman semigroup U(t) for t >= 0 on the Banach space C(A_dev) of continuous functions on the attractor via composition with the flow. Under strong operator continuity, classical Kato perturbation theory gives continuity of Riesz projections associated with isolated spectral components. The main theorem shows that the number of isolated spectral components — the coherence index |J| — is…