{"id":3157,"date":"2026-05-16T02:38:14","date_gmt":"2026-05-16T09:38:14","guid":{"rendered":"https:\/\/coherencegeometry.com\/?p=3157"},"modified":"2026-05-17T09:07:08","modified_gmt":"2026-05-17T16:07:08","slug":"toward-a-mechanism-of-charge-a-criterion-based-approach-using-coherence-geometry","status":"publish","type":"post","link":"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/16\/toward-a-mechanism-of-charge-a-criterion-based-approach-using-coherence-geometry\/","title":{"rendered":"Toward a Mechanism of Charge: A Criterion-Based Approach Using Coherence Geometry\u00a0"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Internal ID:<\/strong> CGI-RSR-000018<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> June 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 paper presents a geometric mechanism for electric charge, grounded in localized curvature within a structured coherence field rather than in fundamental particles. Using a multi-channel phase framework, we define alignment and torsional fields \\((\\theta^{(1)}, \\theta^{(2)})\\) constrained by a shared amplitude envelope \\(A(x, y)\\). Through numerical simulation, we test five criteria for emergent charge behavior: field sourcing, mobility, polarity, classical field recovery, and topological identity. Curvature in the alignment field \\(\\theta^{(1)}\\) induces persistent structures in the torsional field \\(\\theta^{(2)}\\), reproducing monopole- and dipole-like field patterns without external sources. Coherent defects preserve their internal geometry under translation and exhibit sustained influence consistent with classical charge motion. Oppositely signed curvature configurations yield antisymmetric torsional responses. Static configurations recover divergence and field flow consistent with electrostatics, and global topological winding in \\(\\theta^{(1)}\\) remains conserved under dynamic deformation. Together, these results demonstrate that charge-like behavior can emerge entirely from internal phase geometry, offering a non-particle origin for classical electrostatic phenomena.<\/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.20229561<\/code><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Citation:<\/strong><br>Petersen, B. L. (2026). Toward a Mechanism of Charge: A Criterion-Based Approach Using Coherence Geometry (1.0). Zenodo.&nbsp;<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<h3 class=\"wp-block-heading\">Representative Figure<\/h3>\n\n\n\n<div style=\"height:9px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div style=\"height:4px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<style>.kb-image3157_b3d4c8-ca.kb-image-is-ratio-size, .kb-image3157_b3d4c8-ca .kb-image-is-ratio-size{max-width:430px;width:100%;}.wp-block-kadence-column > .kt-inside-inner-col > .kb-image3157_b3d4c8-ca.kb-image-is-ratio-size, .wp-block-kadence-column > .kt-inside-inner-col > .kb-image3157_b3d4c8-ca .kb-image-is-ratio-size{align-self:unset;}.kb-image3157_b3d4c8-ca figure{max-width:430px;}.kb-image3157_b3d4c8-ca .image-is-svg, .kb-image3157_b3d4c8-ca .image-is-svg img{width:100%;}.kb-image3157_b3d4c8-ca .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-image3157_b3d4c8-ca img.kb-img, .kb-image3157_b3d4c8-ca .kb-img img{border-top:2px solid var(--global-palette7, #EDF2F7);border-right:2px solid var(--global-palette7, #EDF2F7);border-bottom:2px solid var(--global-palette7, #EDF2F7);border-left:2px solid var(--global-palette7, #EDF2F7);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-image3157_b3d4c8-ca img.kb-img, .kb-image3157_b3d4c8-ca .kb-img img{border-top:2px solid var(--global-palette7, #EDF2F7);border-right:2px solid var(--global-palette7, #EDF2F7);border-bottom:2px solid var(--global-palette7, #EDF2F7);border-left:2px solid var(--global-palette7, #EDF2F7);}}@media all and (max-width: 767px){.kb-image3157_b3d4c8-ca img.kb-img, .kb-image3157_b3d4c8-ca .kb-img img{border-top:2px solid var(--global-palette7, #EDF2F7);border-right:2px solid var(--global-palette7, #EDF2F7);border-bottom:2px solid var(--global-palette7, #EDF2F7);border-left:2px solid var(--global-palette7, #EDF2F7);}}<\/style>\n<div class=\"wp-block-kadence-image kb-image3157_b3d4c8-ca\"><figure class=\"aligncenter size-medium_large\"><img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"763\" src=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/field_vectors-768x763.png\" alt=\"\" class=\"kb-img wp-image-3162\" srcset=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/field_vectors-768x763.png 768w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/field_vectors-300x298.png 300w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/field_vectors-1024x1018.png 1024w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/field_vectors-150x150.png 150w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/field_vectors.png 1455w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><em>Coherence-generated dipole field. The vector field (\\(\\vec E = A\\nabla\\theta^{(1)}\\)) forms a dipole-like pattern directly from the geometry of the alignment field. In this model, polarity is indicated by field flow, while the source structure arises from internal coherence curvature rather than externally inserted charges.<\/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>Reader orientation:<\/em><br>This paper presents the geometric and numerical mechanism of charge in Coherence Geometry. It identifies the behavioral criteria that charge-like structure must satisfy, including field sourcing, mobility, polarity, classical field recovery, and topological identity.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The later Foundations, Part II treatment uses this geometric mechanism as the<br>basis for an algebraic reconstruction of emergent charge and Maxwell-type field<br>structure. The two presentations are complementary: this paper shows the<br>mechanism visually and geometrically, while the textbook develops the<br>corresponding algebraic formulation.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Related Work<\/h3>\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><br><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","protected":false},"excerpt":{"rendered":"<p>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.<\/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":"default","_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-3157","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\/3157","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=3157"}],"version-history":[{"count":10,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/3157\/revisions"}],"predecessor-version":[{"id":3333,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/3157\/revisions\/3333"}],"wp:attachment":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media?parent=3157"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/categories?post=3157"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/tags?post=3157"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}