{"id":3169,"date":"2026-05-16T03:43:17","date_gmt":"2026-05-16T10:43:17","guid":{"rendered":"https:\/\/coherencegeometry.com\/?p=3169"},"modified":"2026-05-17T09:06:14","modified_gmt":"2026-05-17T16:06:14","slug":"electromagnetism-from-coherence-geometry-field-alignment-wave-propagationlorentz-interactions-and-coherence-driven-radiation","status":"publish","type":"post","link":"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/16\/electromagnetism-from-coherence-geometry-field-alignment-wave-propagationlorentz-interactions-and-coherence-driven-radiation\/","title":{"rendered":"Electromagnetism from Coherence Geometry: Field Alignment, Wave Propagation, Lorentz Interactions, and Coherence-Driven Radiation"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Internal ID:<\/strong> CGI-RSR-000019<br><strong>Author(s):<\/strong> Barry L. Petersen<br><strong>Document Type:<\/strong> Research Paper<br><strong>Publication Date:<\/strong> May 2026<br><strong>Original Creation Date:<\/strong> May 2025<br><strong>Status:<\/strong> Public<br><strong>Domains:<\/strong> Physics<br><strong>Research Topics:<\/strong> Electromagnetism, Mechanism of Charge, Electric charge, Emergent charge<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Abstract<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><br>This work presents a reformulation of classical electromagnetism using Coherence Geometry (CG) \u2014 a deterministic framework in which electric and magnetic phenomena emerge from the dynamics of structured phase alignment rather than fundamental vector fields. In this model, electromagnetic behavior arises from the evolution of internal phase fields across multiple coherence channels, governed by local alignment constraints and curvature minimization. Maxwell\u2019s equations, wave propagation, Lorentz-like forces, and radiative emission are re-expressed through the geometry of phase gradients, ripple emission, and coherence-driven strain. The framework bridges classical field theory with quantum-like discreteness via modular, self-propagating coherence packets, offering geometric interpretations of polarization, interference, energy transfer, and field exclusion. Beyond reinterpretation, this approach introduces a substrate-level foundation that unifies classical electrodynamics, photon-like quantization, and analog coherence architectures \u2014 providing a coherent geometric account of electromagnetic structure, interaction,<br>and transmission.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Available Document<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>DOI:<\/strong> <code>10.5281\/zenodo.20230100<\/code><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Citation:<\/strong><br>Petersen, B. L. (2026). Electromagnetism from Coherence Geometry: Field Alignment, Wave Propagation, Lorentz Interactions, and Coherence-Driven Radiation (1.0). Zenodo. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.20230100\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.20230100<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Representative Figure<\/h3>\n\n\n\n<div style=\"height:12px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<style>.kb-image3169_5be5e4-3d .kb-image-has-overlay:after{opacity:0.3;border-top-left-radius:10px;border-top-right-radius:10px;border-bottom-right-radius:10px;border-bottom-left-radius:10px;}.kb-image3169_5be5e4-3d img.kb-img, .kb-image3169_5be5e4-3d .kb-img img{border-top:2px solid var(--global-palette5, #4A5568);border-right:2px solid var(--global-palette5, #4A5568);border-bottom:2px solid var(--global-palette5, #4A5568);border-left:2px solid var(--global-palette5, #4A5568);border-top-left-radius:10px;border-top-right-radius:10px;border-bottom-right-radius:10px;border-bottom-left-radius:10px;box-shadow:10px 10px 30px 0px rgba(0, 0, 0, 0.2);}@media all and (max-width: 1024px){.kb-image3169_5be5e4-3d img.kb-img, .kb-image3169_5be5e4-3d .kb-img img{border-top:2px solid var(--global-palette5, #4A5568);border-right:2px solid var(--global-palette5, #4A5568);border-bottom:2px solid var(--global-palette5, #4A5568);border-left:2px solid var(--global-palette5, #4A5568);}}@media all and (max-width: 767px){.kb-image3169_5be5e4-3d img.kb-img, .kb-image3169_5be5e4-3d .kb-img img{border-top:2px solid var(--global-palette5, #4A5568);border-right:2px solid var(--global-palette5, #4A5568);border-bottom:2px solid var(--global-palette5, #4A5568);border-left:2px solid var(--global-palette5, #4A5568);}}<\/style>\n<div class=\"wp-block-kadence-image kb-image3169_5be5e4-3d\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"428\" height=\"429\" src=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/faraday_theta1_arrows_512_428x429_96dpi.png\" alt=\"\" class=\"kb-img wp-image-3171\" srcset=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/faraday_theta1_arrows_512_428x429_96dpi.png 428w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/faraday_theta1_arrows_512_428x429_96dpi-300x300.png 300w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/faraday_theta1_arrows_512_428x429_96dpi-150x150.png 150w\" sizes=\"auto, (max-width: 428px) 100vw, 428px\" \/><\/figure><\/div>\n\n\n\n<div style=\"height:11px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><em>Induced circulation in the alignment field ( \\(\\theta^{(1)}\\)). In the CG electromagnetic projection, evolving torsional coherence in ( \\(\\theta^{(2)}\\)) drives circulating alignment gradients, producing a Faraday-type induction effect through cross-channel phase coupling in a shared-amplitude medium.<\/em><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Source Code and Supporting Materials<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Simulation code is not included in this release. The paper reports the model, criteria, selected numerical outputs, and geometric interpretation. Any underlying computational materials are internal research artifacts and are not packaged as public software. No public technical support is implied.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary and Notes<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Historical and framework context:<\/em><br>This paper is released in its original May 2025 form. It reflects an earlier geometric stage of the Coherence Geometry research program, before the later Foundations volumes consolidated the algebraic and projection language now used throughout the public CG corpus.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Later materials, especially Coherence Geometry Foundations, Part II: Physical Projections, develop related electromagnetic structures algebraically, including emergent source structure, charge, Maxwell-type field relations, continuity, and coherence energy flow. The present paper remains useful as an extended geometric formulation and research map for the electromagnetic projection of CG.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Relation to the charge mechanism paper:<\/em><br>This paper is complementary to CGI-RSR-000018, &#8220;Toward a Mechanism of Charge: A Criterion-Based Approach Using Coherence Geometry.&#8221; The charge paper focuses on the geometric and numerical mechanism by which charge-like source behavior can arise from localized coherence curvature and torsion. The present paper develops the broader electromagnetic field setting in which such source structures participate.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Related Work<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Related records:<\/em><br>Petersen, B. L. (2026). Toward a Mechanism of Charge: A Criterion-Based<br>Approach Using Coherence Geometry (Version 1.0). Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.20229561\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.20229561<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L. (2026). Coherence Geometry Foundations, Part II: Physical<br>Projections (Version 0.1). Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.20156997\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.20156997<\/a><\/p>\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>CGI-RSR-000019 | This work presents a reformulation of classical electromagnetism using Coherence Geometry (CG) \u2014 a deterministic framework in which electric and magnetic phenomena emerge from the dynamics of structured phase alignment rather than fundamental vector fields.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_kad_post_transparent":"","_kad_post_title":"","_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":""},"categories":[31,67,56],"tags":[],"class_list":["post-3169","post","type-post","status-publish","format-standard","hentry","category-physics","category-electromagnetism","category-research-papers"],"_links":{"self":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/3169","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"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=3169"}],"version-history":[{"count":9,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/3169\/revisions"}],"predecessor-version":[{"id":3330,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/3169\/revisions\/3330"}],"wp:attachment":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media?parent=3169"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/categories?post=3169"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/tags?post=3169"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}