• 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 Encoding and Decoding in Coherence Geometry: A Unified Framework for Transmission, Storage, Inference, Learning, and Control

  CGI-RSR-000038 | We introduce Geometric Encoding and Decoding (GED) as a general operational paradigm within the Coherence-Geometric Information Substrate (CGIS). Building on the pre-symbolic treatment of information developed in earlier work, GED distinguishes the preparation of an information-bearing coherence-compatible state, its persistence or propagation under perturbation, and subsequent recovery through coherence-directed dynamics.

• Coherence-Geometric Encoder/Decoder: A Multi-Phase Framework for Analog Storage and Transmission

  CGI-RSR-000037 | We introduce a general encoder–decoder architecture based on Coherence Geometry (CG) in which continuous signals are mapped into structured multi-phase latent states (mu-space) governed by shared-amplitude constraints and an explicit coherence energy. Channel or storage perturbations act directly on this information-bearing latent state. Recovery is then performed by coherence-driven relaxation toward a coherence-compatible…

• Triadic Organization of Coherence-Governed Systems: Stabilization, Activation, and Transport as Constraint-Driven Modes

  CGI-RSR-000036 | We describe a triadic organizational structure for systems governed by constraints on coupled configurations, in which stabilization, activation, and transport arise as intrinsic modes of behavior. In physical systems, it appears as relaxation, activation, and transport dynamics; in informational systems, the corresponding roles appear as inference and recovery, storage and persistence, and transmission.

• A Minimal Self-Organizing Source Model for Emergent Horizons and Radiative Scaling 

  CGI-RSR-000035 | Horizon calculations ordinarily begin after a horizon-bearing background, flow, or characteristic structure has already been specified. Here we ask an upstream question: can a minimal deterministic source generate its own scale, transition, one-way characteristic surface, intrinsic dynamics, and radiative response?

• Constraint-Driven Formation of Coherence Structures and Their Inverse-Square Exterior Flux

  CGI-RSR-000031 | We establish a dynamical mechanism by which coherence-driven structure formation produces the inverse-square scaling behavior associated with galactic rotation curves and gravitational lensing.

• 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.