• 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…

• A Coherence-Geometric Interpretation of Beam Emittance, Synchrotron Output, and Wakefield Structure

  CGI-RSR-000016 | This technical note develops a coherence-geometric interpretation of beam emittance, coherent synchrotron output, beam cooling, wakefield structure, and accelerator diagnostics.

• A Coherence-Geometric Substrate for Information, Modulation, and Inference

  CGI-RSR-000014 | We examine the foundations of information from a coherence-geometric perspective, treating information not as a collection of independent symbols but as structure arising from constrained phase relationships within a shared energetic substrate, prior to symbolic discretization.

• A Variational–Relaxation Framework for Coherence-Driven Structure Formation

  CGI-RSR-000013 | We develop a variational framework for coherence-driven structure formation, placing phase coherent self-organization within a unified geometric description compatible with variational principles used throughout physics.

• The Unified Coherence Functional: A Closed Generative Basis for Mathematics

  CGI-RSR-000012 | We introduce the Unified Coherence Functional (UCF), a closed variational framework in which broad classes of mathematical structures arise as stationary projections.

• Unified Coherence Geometry: A Common Action for Physical Fields

  CGI-RSR-000011 | This work introduces the Unified Coherence Action with constrained forms that reproduce the major laws of physics.

• 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.