{"id":4045,"date":"2026-06-09T18:49:54","date_gmt":"2026-06-10T01:49:54","guid":{"rendered":"https:\/\/coherencegeometry.com\/?page_id=4045"},"modified":"2026-06-09T19:05:13","modified_gmt":"2026-06-10T02:05:13","slug":"dark-matter","status":"publish","type":"page","link":"https:\/\/coherencegeometry.com\/index.php\/domains\/physics\/physics-cosmology\/dark-matter\/","title":{"rendered":"Dark Matter"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center\">Dark Matter<\/h2>\n\n\n\n<div style=\"height:16px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Dark matter remains one of the central open questions in modern cosmology. Observations of galactic rotation curves, gravitational lensing, cluster dynamics, and large-scale structure indicate the presence of gravitational effects that are not explained by luminous matter alone.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Research collected in this area explores a variety of Coherence Geometry perspectives on dark-matter-related phenomena. These investigations include studies of density scaling, gravitational lensing, structure formation, field transport, cosmological evolution, and the emergence of large-scale gravitational behavior from underlying coherence dynamics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The papers in this section are not intended to represent a single completed model. Rather, they examine different aspects of the dark matter problem from multiple directions, ranging from phenomenological scaling arguments to coherence-based structure formation mechanisms.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Conserved Flux, Lensing, and Structure Formation<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Three papers within this collection form a closely related sequence investigating a common dynamical pathway.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The first paper,\u00a0<a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/06\/09\/conserved-flux-and-inverse-square-density-profiles-in-galactic-rotation-curves\/\" data-type=\"post\" data-id=\"4036\"><em>Conserved Flux and Inverse-Square Density Profiles in Galactic Rotation Curves<\/em><\/a>, shows that conserved outward flux in the exterior region of a localized field configuration naturally produces an effective density profile scaling as<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\rho(r)\\sim\\frac{1}{r^2}\\),<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">leading to approximately flat galactic rotation curves.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The second paper,<em>\u00a0<a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/06\/09\/inverse-square-density-profiles-and-gravitational-lensing-from-conserved-flux\/\" data-type=\"post\" data-id=\"4038\">Inverse-Square Density Profiles and Gravitational Lensing from Conserved Flux<\/a><\/em>, examines the gravitational implications of the same density profile. The resulting lensing behavior reproduces the leading-order characteristics of standard isothermal halo models, connecting the scaling mechanism to observable lensing signatures.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The third paper,\u00a0<a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/06\/09\/constraint-driven-formation-of-coherence-structures-and-their-inverse-square-exterior-flux\/\" data-type=\"post\" data-id=\"4043\"><em>Constraint-Driven Formation of Coherence Structures and Their Inverse-Square Exterior Flux<\/em><\/a>, investigates a possible dynamical origin for the conserved flux itself. Within the framework of Coherence Geometry, constrained variational-relaxation dynamics generate stable coherence structures whose exterior behavior naturally exhibits conserved outward flux and inverse-square scaling.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Taken together, these papers explore the chain<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>coherence dynamics \u2192 structure formation \u2192 conserved exterior flux \u2192 inverse-square density scaling \u2192 rotation curves and lensing.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The sequence is intended to illustrate how observable gravitational behavior can be connected to an underlying dynamical mechanism through a series of progressively more detailed analyses.<\/p>\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-2-color has-text-color has-link-color wp-elements-f9078ae51c66b3d50f63cb986855c879\">Publications List<\/h3>\n\n\n\n<div style=\"height:7px\" 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-4043 post type-post status-publish format-standard hentry category-cosmology category-dark-matter category-physics category-research-papers\">\n<h4 style=\"padding-top:var(--wp--preset--spacing--50);padding-bottom:0\" class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/06\/09\/constraint-driven-formation-of-coherence-structures-and-their-inverse-square-exterior-flux\/\" target=\"_self\" >Constraint-Driven Formation of Coherence Structures and Their Inverse-Square Exterior Flux<\/a><\/h4>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">CGI-RSR-000031 | We establish a dynamical mechanism by which coherence-driven structure formation produces the inverse-square scaling behavior associated with galactic rotation curves and gravitational lensing. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-4038 post type-post status-publish format-standard hentry category-research-papers category-cosmology category-dark-matter category-physics\">\n<h4 style=\"padding-top:var(--wp--preset--spacing--50);padding-bottom:0\" class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/06\/09\/inverse-square-density-profiles-and-gravitational-lensing-from-conserved-flux\/\" target=\"_self\" >Inverse-Square Density Profiles and Gravitational Lensing from Conserved Flux<\/a><\/h4>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">CGI-RSR-000030 | The paper establishes the following chain: conserved outward flux -> rho(r) ~ r^-2 -> gravitational potential -> approximately constant lensing deflection. The resulting lensing behavior is consistent with the leading-order predictions of standard halo models used to interpret gravitational lensing observations. <\/p><\/div>\n<\/li><li class=\"wp-block-post post-4036 post type-post status-publish format-standard hentry category-dark-matter category-cosmology category-physics category-research-papers\">\n<h4 style=\"padding-top:var(--wp--preset--spacing--50);padding-bottom:0\" class=\"wp-block-post-title\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/2026\/06\/09\/conserved-flux-and-inverse-square-density-profiles-in-galactic-rotation-curves\/\" target=\"_self\" >Conserved Flux and Inverse-Square Density Profiles in Galactic Rotation Curves<\/a><\/h4>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">CGI-RSR-000029 | The paper establishes the following chain: conserved outward flux -> rho(r) ~ r^-2 -> M(r) ~ r -> v(r) approximately constant. Under general conditions, inverse-square density profiles and flat galactic rotation curves arise as direct consequences of flux conservation in three-dimensional space. <\/p><\/div>\n<\/li><\/ul>\n\n\n\n<\/div>\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Dark Matter Dark matter remains one of the central open questions in modern cosmology. Observations of galactic rotation curves, gravitational lensing, cluster dynamics, and large-scale structure indicate the presence of gravitational effects that are not explained by luminous matter alone. Research collected in this area explores a variety of Coherence Geometry perspectives on dark-matter-related phenomena&#8230;.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2508,"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-4045","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/4045","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=4045"}],"version-history":[{"count":6,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/4045\/revisions"}],"predecessor-version":[{"id":4058,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/4045\/revisions\/4058"}],"up":[{"embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/2508"}],"wp:attachment":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media?parent=4045"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}