{"id":2197,"date":"2026-05-03T06:37:59","date_gmt":"2026-05-03T06:37:59","guid":{"rendered":"https:\/\/coherencegeometry.com\/?page_id=2197"},"modified":"2026-05-15T10:54:24","modified_gmt":"2026-05-15T10:54:24","slug":"home","status":"publish","type":"page","link":"https:\/\/coherencegeometry.com\/","title":{"rendered":"Home"},"content":{"rendered":"\n<h1 class=\"wp-block-heading has-text-align-center has-theme-palette-2-color has-text-color has-link-color wp-elements-13784811f17245dd51b02ae8a222bc5c\"><strong>A Mathematical Framework for Emergent Structure<\/strong><\/h1>\n\n\n\n<p class=\"has-text-align-center has-theme-palette-5-color has-text-color has-link-color wp-elements-edf423ad2fec1d9d573d8d5eff1957e5\" style=\"margin-right:0px;margin-left:0px\"><br><em>How coherent structure forms,<\/em> <em>stabilizes, and appears across complex systems.<\/em><\/p>\n\n\n\n\n\n<blockquote class=\"wp-block-quote has-text-align-center is-layout-flow wp-block-quote-is-layout-flow\"><\/blockquote>\n\n\n\n<div style=\"height:98px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center has-theme-palette-2-color has-text-color has-link-color has-medium-font-size wp-elements-9e27027aa3c7a6c9b856206382cce768\">Choose where you&#8217;d like to begin:<\/p>\n\n\n\n<div class=\"wp-block-group\" style=\"padding-top:var(--wp--preset--spacing--20);padding-right:var(--wp--preset--spacing--20);padding-bottom:var(--wp--preset--spacing--20);padding-left:var(--wp--preset--spacing--20)\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-container-core-group-is-layout-689b0661 wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns are-vertically-aligned-top is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<div style=\"display:flex; justify-content:center;\">\n<a href=\"\/index.php\/showcase\/\" style=\"display:inline-block;\">\n  <video id=\"bondVideo\" width=\"192\" height=\"192\" autoplay muted playsinline onmouseenter=\"this.currentTime=0; this.play();\"\n         style=\"border-radius:18px; display:block; border:0px solid #222;\">\n    <source src=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/bond-firefox-max.mp4\" type=\"video\/mp4\">\n  <\/video>\n<\/a>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-theme-palette-2-color has-text-color has-link-color wp-elements-18d8ef2f097bae66bb839b923f142376\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/showcase\/\" data-type=\"page\" data-id=\"1215\">Showcase<\/a><\/h2>\n\n\n\n<p class=\"has-text-align-center has-theme-palette-6-color has-text-color has-link-color wp-elements-58e72bef8d9ea57bdd1fc49fe0758492\"><br><em>Videos, galleries, and<br>simulation outputs.<\/em><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<div style=\"display:flex; justify-content:center;\">\n<a href=\"\/index.php\/research\/\" style=\"display:inline-block;\">\n  <video id=\"ripplesVideo\" width=\"192\" height=\"192\" autoplay muted playsinline onmouseenter=\"this.currentTime=0; this.play();\"\n         style=\"border-radius:18px; display:block; border:1px solid #222;\">\n    <source src=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/ripples-firefox-max.mp4\" type=\"video\/mp4\">\n  <\/video>\n<\/a>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-theme-palette-2-color has-text-color has-link-color wp-elements-07f7db01246cc00b72cbc09876ba544e\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/research\/\" data-type=\"page\" data-id=\"136\">Research<\/a><\/h2>\n\n\n\n<p class=\"has-text-align-center has-theme-palette-6-color has-text-color has-link-color wp-elements-2dd8c3348d11e6fb4194fc4e8e414240\"><br><em>Domains, a<em>pplications, <br>and publications.<\/em><\/em><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<div style=\"display:flex; justify-content:center;\">\n  <a href=\"\/index.php\/overview\/\" style=\"display:inline-block; position:relative; width:192px; height:192px;\">\n    \n    <!-- VIDEO -->\n    <video id=\"snowflakeVideo\" width=\"192\" height=\"192\"\n           autoplay muted playsinline\n           onended=\"this.style.opacity=0; this.style.pointerEvents='none';\"\n           style=\"border-radius:18px; position:absolute; top:0; left:0; z-index:2; opacity:1; transition:opacity 0.3s;\">\n      <source src=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/snowflake-firefox-max.mp4\" type=\"video\/mp4\">\n    <\/video>\n\n    <!-- FINAL IMAGE -->\n    <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2026\/05\/snowflake_final.png\"\n         width=\"192\" height=\"192\"\n         onmouseenter=\"\n           const v=this.previousElementSibling;\n           v.style.pointerEvents='auto';\n           v.style.opacity=1;\n           v.currentTime=0;\n           v.play();\n         \"\n         style=\"border-radius:18px; position:absolute; top:0; left:0; z-index:1;\">\n    \n  <\/a>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-theme-palette-2-color has-text-color has-link-color wp-elements-3cef3bc015200576a922927b5a3cb6e8\"><a href=\"https:\/\/coherencegeometry.com\/index.php\/overview\/\" data-type=\"page\" data-id=\"1217\">Overview<\/a><\/h2>\n\n\n\n<p class=\"has-text-align-center has-theme-palette-6-color has-text-color has-link-color wp-elements-31bce983bd771ff1987c9bc0e73331f3\"><br><em><em>Definitions, glossary, <br>canons, and structure.<\/em><\/em><\/p>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center has-small-font-size\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A Mathematical Framework for Emergent Structure How coherent structure forms, stabilizes, and appears across complex systems. Choose where you&#8217;d like to begin: Showcase Videos, galleries, andsimulation outputs. Research Domains, applications, and publications. Overview Definitions, glossary, canons, and structure.<\/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-2197","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/2197","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=2197"}],"version-history":[{"count":44,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/2197\/revisions"}],"predecessor-version":[{"id":3075,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/pages\/2197\/revisions\/3075"}],"wp:attachment":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media?parent=2197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}