• CGI-CDR-05 (v1.0): Curvature-Driven Amplitude Relaxation Canon

  This canon records the coherence–geometric interpretation of curvature-driven amplitude relaxation (CDAR) as a physical organizing mechanism underlying diffusion–reaction–like pattern formation and spatial structure. It fixes scope, terminology, canonical claims, and representative field equations, positioning classical diffusion, reaction, and band-selection behavior as projected or limiting descriptions of a more structured coherence–geometric relaxation substrate. This document is…

Seed Notes

• CGI-000001 (v1.0): Seed Note — Coherence-Driven Intelligence (CDI)

  This page describes Seed Note CGI-000001: Coherence-Driven Intelligence (CDI),also referred to descriptively as “Emergent Intelligence” (EI). Update May 2026: The original documents are available now published and listed in the Primary Artifact section below. What this seed note does CGI-000001 fixes naming, claim scope, and provenance pointers for the CDI/EIdemonstration work. It is a seed-level…

• Rank-One Coherence Obstructions in High–High Navier–Stokes Interactions

  Internal ID: CGI-RSR-000005 | We study comparable high–high interactions in the three-dimensional incompressible Navier–Stokes nonlinearity.

• An Operator Bridge Between Arithmetic Heights and Analytic Residues for Elliptic Curves

  Internal ID: CGI-RSR-000004 | We present a structured program relating the arithmetic and analytic structures appearing in the Birch–Swinnerton–Dyer conjecture for elliptic curves over Q. The construction proceeds through two parallel bridges. The arithmetic bridge reconstructs the NÅLeron–Tate height pairing from a system of local coherence pairings obtained via defect descent at all places of…

• Local Coherence Hessians: A Structural Classification of Spectral Gaps

  Internal ID: CGI-RSR-000003 | We provide a structural classification of spectral gaps for local coherence functionals on periodic lattices.

• A Coherence Field Approach to SAT: Linear-Scale Defect Structure and Clause-Centered Repair

  Internal ID: CGI-RSR-000002 | We study a coherence-based dynamical representation of Boolean satisfiability in which clauses induce local pressures that generate a field over variables, and assignments evolve by aligning with this field.

• A Constrained Dynamical Dark Energy Parameterization with Linked w₀ and wₐ

  CGI-RSR-000001: We present a constrained dynamical dark-energy parameterization that provides a fit-ready alternative to standard phenomenological models used in late-time cosmology.

• Coherence Geometry Foundations, Part I: Orientation, Closure, and Algebraic Foundations

  CGI-BKS-0001 | Part I of the Coherence Geometry Foundations working reference text. It introduces multi-phase numbers, shared-amplitude phase structure, mathematical closure, projection, coherence relations, coherence matrices, coherence manifolds, projective coherence objects, morphisms, operators, and the canonical convergence and stability results governing coherent systems.

• Coherence Geometry Foundations, Part II: Physical Projections

  CGI-BKS-0002 | Part II of the Coherence Geometry Foundations working reference text. It examines how quantum-like linear dynamics, causal and relativistic structure, residual coherence strain and cosmological background terms, electromagnetic field structure, thermodynamic behavior, and macroscopic transport can be represented as domain-level projections of the shared-amplitude, multi-phase coherence framework.