• 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…

• Geometric Substrate Models and Bell–CHSH Correlations: A Structural Analysis of Assumption Relaxation

  CGI-RSR-000021 | This paper presents a structural analysis of Bell–CHSH correlations using a hierarchy of geometric hidden-variable models defined on the unit circle. The purpose is not to propose a complete physical hidden-variable theory, but to make the assumption-dependence of Bell-type correlations explicit in a transparent geometric setting. The paper examines how Bell–CHSH behavior changes…

• Planck’s Constant as a Coherence Quantization from Phase Geometry

  CGI-RSR-000020 |Planck’s constant h is traditionally introduced as an empirical constant. Here we show that a natural action scale S_0 arises from phase-constrained coherence geometry. Thus quantization is not imposed but emerges from the geometry of phase closure.

• Electromagnetism from Coherence Geometry: Field Alignment, Wave Propagation, Lorentz Interactions, and Coherence-Driven Radiation

  CGI-RSR-000019 | This work presents a reformulation of classical electromagnetism using Coherence Geometry (CG) — a deterministic framework in which electric and magnetic phenomena emerge from the dynamics of structured phase alignment rather than fundamental vector fields.

• Toward a Mechanism of Charge: A Criterion-Based Approach Using Coherence Geometry 

  CGI-RSR-000018 | This paper presents a geometric mechanism for electric charge, grounded in localized curvature within a structured coherence field rather than in fundamental particles.

• Emergent Intelligence from Coherence-Driven Dynamics: Archival Submission Packages

  CGI-RSR-000017 | Archival Nature-format and PNAS-format submission materials for the original EI/CDI computational result. The package reports classification-like behavior arising from coherence-driven refinement in a constrained medium, without conventional supervised training, feature extraction, backpropagation, or weight-based optimization.

• 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.