• 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…

• 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.

• Inverse-Square Density Profiles and Gravitational Lensing from Conserved Flux

  CGI-RSR-000030 | The paper establishes the following chain: conserved outward flux -> rho(r) ~ r^-2 -> gravitational potential -> approximately constant lensing deflection. The resulting lensing behavior is consistent with the leading-order predictions of standard halo models used to interpret gravitational lensing observations.

• Conserved Flux and Inverse-Square Density Profiles in Galactic Rotation Curves

  CGI-RSR-000029 | The paper establishes the following chain: conserved outward flux -> rho(r) ~ r^-2 -> M(r) ~ r -> v(r) approximately constant. Under general conditions, inverse-square density profiles and flat galactic rotation curves arise as direct consequences of flux conservation in three-dimensional space.

• Emergent Duplex Helicity from Coherence Alignment and Transport

  CGI-RSR-000028 | Helical structures are commonly modeled by prescribing a rotational geometry, a preferred twist angle, or an equivalent geometric construction rule. In this work, we investigate an alternative approach in which helicity emerges from local coherence dynamics rather than from an explicitly imposed helical instruction.

• Atomic Bonding via Coherence Geometry

  CGI-RSR-000027 | This paper applies Coherence Geometry — a deterministic, field-based framework — to the problem of chemical bonding, modeling atoms as continuous amplitude and phase fields evolving under a shared energy functional. Unlike traditional quantum mechanics, which describes bonding via probabilistic wavefunction overlap and operator constraints, Coherence Geometry treats bond formation as a real-time…

• 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.