CGI-RSR-000022 | The two-path interference law is conventionally derived from complex amplitude superposition together with the Born rule. We present an alternative structural derivation based on a deterministic geometric preparation model defined on the unit circle.
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 when standard assumptions are modified one at a time, including locality, deterministic response functions, and measurement independence.
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.
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.
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.
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.
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.
CGI-RSR-000016 | This technical note develops a coherence-geometric interpretation of beam emittance, coherent synchrotron output, beam cooling, wakefield structure, and accelerator
diagnostics.
CGI-RSR-000015 | We present a coherence–geometric formulation of diffusion–reaction–like pattern formation based on curvature-driven amplitude relaxation (CDAR). Rather than modeling diffusion and reaction as distinct processes acting on multiple scalar fields, the proposed approach represents spatial structure as the evolution of a constrained amplitude–phase field governed by geometric coherence couplings.
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.