CGI-RSR-000034 | This archival research paper presents a source-to-endpoint construction for compact-simple Yang–Mills theory on four-dimensional Euclidean spacetime.
CGI-RSR-000033 | We reformulate a strict first-order terminal-closure criterion for the Riemann
Hypothesis as a source-closure problem in Coherence Geometry. The analytic
endpoint construction used here is the matrix-valued completed-explicit-formula framework developed in the earlier terminal-closure criterion paper.
CGI-RSR-000032 | This paper formulates the rank equality in the Birch–Swinnerton-Dyer conjecture as a source-closure and endpoint-readout problem in Coherence Geometry.
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-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.
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.
CGI-RSR-000010 | We establish a mathematical framework for coherence formation and stability in energy-minimizing phase systems. Introduces the UCCP, SCRC, and CS-SCT.
CGI-RSR-000009 | This is the foundational document that introduces multi-phase numbers and the Global Coherence Theorem (GCT).
Internal ID: CGI-RSR-000008 | We formulate a strict first-order terminal-closure criterion for the Riemann Hypothesis using a matrix-valued completed explicit formula.