• CGI-CDR-00 (v1.0): Canonical Definitions and Results

  This canon fixes the canonical terminology, core objects, and named results of Coherence Geometry (CG). It serves as the naming and reference spine for all later CG papers, seed notes, software, and applications.

• CGI-CDR-01 (v1.0): Physics Branch Canon

  This canon fixes canonical terminology, primary objects, and claim scope for the physics branch of Coherence Geometry (CG). It records the Unified Coherence Action (UCA) framing and a registry-style naming index for physics-domain projections, while keeping derivations and extended artifacts externally referenced.

• CGI-CDR-02 (v1.0): Mathematics Branch Canon

  This canon fixes canonical terminology, primary objects, and top-level variational statements for the mathematics branch of Coherence Geometry (CG). It defines the coherence field, the Unified Coherence Functional (UCF), and the canonical projection naming scope across mathematical domains (algebraic, geometric, analytic, topological, probabilistic, and logical/computational).

• CGI-CDR-03 (v1.0): Variational-Relaxation Structure Canon

  This canon fixes the variational and relaxational formulation underlying Coherence Geometry, including canonical definitions of the coherence structure functional, coherence basins, and the variational–relaxation principle governing coherence-driven structure formation. It clarifies the distinction between intrinsic variational structure and the dissipative dynamics by which stable coherent configurations are reached.

• CGI-CDR-04 (v1.0): Coherence-Geometric Information Substrate Canon

  This canon records the canonical coherence-geometric interpretation of information as a pre-symbolic, basin-structured phenomenon arising from constrained amplitude–phase configurations. This canon specializes the variational–relaxation framework established in CGI-CDR-03 to informational stability, noise, decoding, and inference, fixing terminology, scope, and conceptual boundaries without introducing new dynamics or implementations.

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.