The Octomorphic Framework I_ The Living Geometry of Coherence

The Octomorphic Framework — Chapter 1: Foundations and Registry Introduces the Octomorphic Framework as a discrete, octonion-based geometry of physical law. Defines the registry variable L ∈ [0,1], the coherence kernel f(L)=L(1–L) sin²(πL), and the three universal guardrails (λ² < 25, ΔL ≤ 2⁄8, TB ≥ 0.60) that determine lawful states. Explains how eight “registry seats” form the fundamental triality structure underlying atomic, nuclear, and biological order, setting the groundwork for all later derivations.