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. CMA_heat_closed_form v0.3.pdf Data Tables https://zenodo.org/records/17529729 Coherence-Merge Algebra (CMA)- Axioms, Curvature, and the Bridge to H and Ohttps://zenodo.org/records/17460518 Coherence Geometry- A Curvature Calculus for Non-Associative Merge Spaceshttps://zenodo.org/records/17460613 CMA Curvature — Minimal Wolfram Implementation of the Coherence-Merge Algebrahttps://zenodo.org/records/17509036 A Geometric Origin for Physical Law and Chemical Anomalieshttps://zenodo.org/records/17109797 The Octomorphic Framework: A Unified Geometric Derivation of Physical Lawhttps://zenodo.org/records/17109790