{"id":2812,"date":"2026-05-09T13:56:50","date_gmt":"2026-05-09T13:56:50","guid":{"rendered":"https:\/\/coherencegeometry.com\/?page_id=2812"},"modified":"2026-05-13T13:10:17","modified_gmt":"2026-05-13T13:10:17","slug":"publications","status":"publish","type":"page","link":"https:\/\/coherencegeometry.com\/index.php\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center\">Publications<\/h2>\n\n\n\n<div style=\"height:26px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>This page collects public Coherence Geometry records by type. Each entry links to a publication page with description, metadata, and repository links.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-theme-palette-1-color has-text-color has-link-color wp-elements-c372b596456156b8253e929db7c78fb7\">Canonical Foundations<\/h3>\n\n\n\n<div class=\"wp-block-query is-layout-flow wp-block-query-is-layout-flow\"><ul class=\"wp-block-post-template is-layout-flow wp-block-post-template-is-layout-flow\"><li class=\"wp-block-post post-1408 post type-post status-publish format-standard hentry category-canons\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2025\/12\/22\/cgi-cdr-00-v1-0-canonical-definitions-and-results\/\" target=\"_self\">CGI-CDR-00 (v1.0): Canonical Definitions and Results<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-1418 post type-post status-publish format-standard hentry category-canons\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2025\/12\/22\/cgi-cdr-01-v1-0-physics-branch-canon\/\" target=\"_self\">CGI-CDR-01 (v1.0): Physics Branch Canon<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-1422 post type-post status-publish format-standard hentry category-canons\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2025\/12\/22\/cgi-cdr-02-v1-0-mathematics-branch-canon\/\" target=\"_self\">CGI-CDR-02 (v1.0): Mathematics Branch Canon<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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). <\/p><\/div>\n<\/li><li class=\"wp-block-post post-1636 post type-post status-publish format-standard hentry category-canons\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/01\/21\/cgi-cdr-03-v1-0-variational-relaxation-structure-canon\/\" target=\"_self\">CGI-CDR-03 (v1.0): Variational-Relaxation Structure Canon<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">This canon fixes the variational and relaxational formulation underlying Coherence Geometry, including canonical definitions of the coherence structure functional, coherence basins, and the variational\u2013relaxation 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. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-1667 post type-post status-publish format-standard hentry category-canons\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/02\/02\/cgi-cdr-04-v1-0-coherence-geometric-information-substrate-canon\/\" target=\"_self\">CGI-CDR-04 (v1.0): Coherence-Geometric Information Substrate Canon<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">This canon records the canonical coherence-geometric interpretation of information as a pre-symbolic, basin-structured phenomenon arising from constrained amplitude\u2013phase configurations. This canon specializes the variational\u2013relaxation 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. <\/p><\/div>\n<\/li><\/ul>\n\n<nav class=\"wp-block-query-pagination is-layout-flex wp-block-query-pagination-is-layout-flex\" aria-label=\"Pagination\">\n\n\n<div class=\"wp-block-query-pagination-numbers\"><span aria-current=\"page\" class=\"page-numbers current\">1<\/span>\n<a class=\"page-numbers\" href=\"?query-11-page=2\">2<\/a><\/div>\n\n<a href=\"\/index.php\/wp-json\/wp\/v2\/pages\/2812?query-11-page=2\" class=\"wp-block-query-pagination-next\">Next Page<\/a>\n<\/nav>\n\n\n<div style=\"height:14px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-theme-palette-1-color has-text-color has-link-color wp-elements-e60c7e650ee9ae5ab89db0489ea80516\">Seed Notes<\/h3>\n<\/div>\n\n\n\n<div style=\"height:14px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-query is-layout-flow wp-block-query-is-layout-flow\"><ul class=\"wp-block-post-template is-layout-flow wp-block-post-template-is-layout-flow\"><li class=\"wp-block-post post-1428 post type-post status-publish format-standard hentry category-seed-notes\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2025\/12\/22\/cgi-000001-v1-0-seed-note-coherence-driven-intelligence-cdi\/\" target=\"_self\">CGI-000001 (v1.0): Seed Note \u2014 Coherence-Driven Intelligence (CDI)<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">This page describes Seed Note CGI-000001: Coherence-Driven Intelligence (CDI),also referred to descriptively as \u201cEmergent Intelligence\u201d (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&#8230; <\/p><\/div>\n<\/li><\/ul>\n\n\n\n<\/div>\n\n\n\n<div style=\"height:16px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-theme-palette-1-color has-text-color has-link-color wp-elements-7d85350f3c4accce60c3fba6fb326cfc\">Research Papers<\/h3>\n\n\n\n<div style=\"height:11px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-query is-layout-flow wp-block-query-is-layout-flow\"><ul class=\"wp-block-post-template is-layout-flow wp-block-post-template-is-layout-flow\"><li class=\"wp-block-post post-2955 post type-post status-publish format-standard hentry category-physics category-accelerators-and_beams category-research-papers\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/12\/a-coherence-geometric-interpretation-of-beam-emittance-synchrotron-output-and-wakefield-structure\/\" target=\"_self\">A Coherence-Geometric Interpretation of Beam Emittance, Synchrotron Output, and Wakefield Structure<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">CGI-RSR-000016 | This technical note develops a coherence-geometric interpretation of beam emittance, coherent synchrotron output, beam cooling, wakefield structure, and accelerator diagnostics. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-2941 post type-post status-publish format-standard hentry category-information-computation category-coherence-information-theory category-information category-research-papers\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/11\/a-coherence-geometric-substrate-for-information-modulation-and-inference\/\" target=\"_self\">A Coherence-Geometric Substrate for Information, Modulation, and Inference<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-2930 post type-post status-publish format-standard hentry category-physics category-foundation-papers category-mathematics category-research-papers\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/11\/a-variational-relaxation-framework-for-coherence-driven-structure-formation\/\" target=\"_self\">A Variational\u2013Relaxation Framework for Coherence-Driven Structure Formation<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-2920 post type-post status-publish format-standard hentry category-mathematics category-foundation-papers category-research-papers\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/11\/the-unified-coherence-functional-a-closed-generative-basis-for-mathematics\/\" target=\"_self\">The Unified Coherence Functional: A Closed Generative Basis for Mathematics<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-2902 post type-post status-publish format-standard hentry category-physics category-research-papers\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/11\/unified-coherence-geometry-a-common-action-for-physical-fields\/\" target=\"_self\">Unified Coherence Geometry: A Common Action for Physical Fields<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">CGI-RSR-000011 | This work introduces the Unified Coherence Action with constrained forms that reproduce the major laws of physics. <\/p><\/div>\n<\/li><\/ul>\n\n<nav class=\"wp-block-query-pagination is-layout-flex wp-block-query-pagination-is-layout-flex\" aria-label=\"Pagination\">\n\n\n<div class=\"wp-block-query-pagination-numbers\"><span aria-current=\"page\" class=\"page-numbers current\">1<\/span>\n<a class=\"page-numbers\" href=\"?query-3-page=2\">2<\/a>\n<a class=\"page-numbers\" href=\"?query-3-page=3\">3<\/a><\/div>\n\n<a href=\"\/index.php\/wp-json\/wp\/v2\/pages\/2812?query-3-page=2\" class=\"wp-block-query-pagination-next\">Next Page<\/a>\n<\/nav>\n\n<\/div>\n\n\n\n<div style=\"height:28px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-theme-palette-1-color has-text-color has-link-color wp-elements-5498a999026309ad56d8a996584204e0\">Foundation Texts<\/h3>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-query is-layout-flow wp-block-query-is-layout-flow\"><ul class=\"wp-block-post-template is-layout-flow wp-block-post-template-is-layout-flow\"><li class=\"wp-block-post post-2979 post type-post status-publish format-standard hentry category-books category-foundation-texts category-mathematics category-physics\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/13\/coherence-geometry-foundations-part-i-orientation-closure-and-algebraic-foundations\/\" target=\"_self\">Coherence Geometry Foundations, Part I: Orientation, Closure, and Algebraic Foundations<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-2981 post type-post status-publish format-standard hentry category-books category-foundation-texts category-mathematics category-physics\">\n<h5 class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/13\/coherence-geometry-foundations-part-ii-physical-projections\/\" target=\"_self\">Coherence Geometry Foundations, Part II: Physical Projections<\/a><\/h5>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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. <\/p><\/div>\n<\/li><\/ul>\n\n\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Publications This page collects public Coherence Geometry records by type. Each entry links to a publication page with description, metadata, and repository links. Canonical Foundations Research Papers Foundation Texts<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_kad_post_transparent":"","_kad_post_title":"hide","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"class_list":["post-2812","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/2812","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/comments?post=2812"}],"version-history":[{"count":16,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/2812\/revisions"}],"predecessor-version":[{"id":2995,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/2812\/revisions\/2995"}],"wp:attachment":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media?parent=2812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}