{"id":1449,"date":"2025-12-22T06:01:47","date_gmt":"2025-12-22T06:01:47","guid":{"rendered":"https:\/\/coherencegeometry.com\/?p=1449"},"modified":"2026-01-28T01:16:27","modified_gmt":"2026-01-28T01:16:27","slug":"transformations","status":"publish","type":"post","link":"https:\/\/coherencegeometry.com\/index.php\/2025\/12\/22\/transformations\/","title":{"rendered":"Transformations"},"content":{"rendered":"\n<p>It all starts with a child\u2019s question:\u00a0<em><strong>\u201cWhat\u2019s stuff made of?\u201d<\/strong><\/em><\/p>\n\n\n\n<p>From that simple curiosity, a hidden world begins to take shape. Every element \u2014 hydrogen, oxygen, gold \u2014 holds a configuration it can shift into when it\u2019s ready to bond with others. We wondered what an element might look like&nbsp;<em>inside<\/em>&nbsp;\u2014 if we could actually observe how it decides upon its own strange and exotic inner identity. In this episode of&nbsp;<em>Coherent Wonder<\/em>, a Coherence Geometry simulation reveals how smooth, spherical clouds shift and reshape \u2014 uncovering the patterns that atoms assume before they ever start to bond.<\/p>\n\n\n\n<p>Dad and son are soon distracted and mesmerized by the unfolding show, watching these luminous, shape-shifting forms that seem almost alive \u2014 as if nature itself were performing its own version of&nbsp;<em>Transformers<\/em>.<\/p>\n\n\n\n<div style=\"height:42px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<style>.kb-row-layout-id1449_e6fb7f-dd > .kt-row-column-wrap{align-content:start;}:where(.kb-row-layout-id1449_e6fb7f-dd > .kt-row-column-wrap) > .wp-block-kadence-column{justify-content:start;}.kb-row-layout-id1449_e6fb7f-dd > .kt-row-column-wrap{column-gap:var(--global-kb-gap-md, 2rem);row-gap:var(--global-kb-gap-md, 2rem);max-width:600px;margin-left:auto;margin-right:auto;grid-template-columns:minmax(0, 1fr);}.kb-row-layout-id1449_e6fb7f-dd{border-top:0px solid transparent;border-right:0px solid transparent;border-bottom:0px solid transparent;border-left:0px solid transparent;}.kb-row-layout-id1449_e6fb7f-dd{background-color:rgba(80,145,212,0);}.kb-row-layout-id1449_e6fb7f-dd > .kt-row-layout-overlay{opacity:0.30;}@media all and (max-width: 1024px){.kb-row-layout-id1449_e6fb7f-dd > .kt-row-column-wrap{grid-template-columns:minmax(0, 1fr);}}@media all and (max-width: 1024px){.kb-row-layout-id1449_e6fb7f-dd{border-top:0px solid transparent;border-right:0px solid transparent;border-bottom:0px solid transparent;border-left:0px solid transparent;}}@media all and (max-width: 767px){.kb-row-layout-id1449_e6fb7f-dd > .kt-row-column-wrap{grid-template-columns:minmax(0, 1fr);}.kb-row-layout-id1449_e6fb7f-dd{border-top:0px solid transparent;border-right:0px solid transparent;border-bottom:0px solid transparent;border-left:0px solid transparent;}}<\/style><div class=\"kb-row-layout-wrap kb-row-layout-id1449_e6fb7f-dd alignnone kt-row-has-bg wp-block-kadence-rowlayout\"><div class=\"kt-row-column-wrap kt-has-1-columns kt-row-layout-equal kt-tab-layout-inherit kt-mobile-layout-row kt-row-valign-top\">\n<style>.kadence-column1449_1f1779-3b > .kt-inside-inner-col{box-shadow:0px 0px 14px 0px rgba(0, 0, 0, 0.2);border-top:3px solid transparent;border-right:3px solid transparent;border-bottom:3px solid transparent;border-left:3px solid transparent;}.kadence-column1449_1f1779-3b > .kt-inside-inner-col,.kadence-column1449_1f1779-3b > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column1449_1f1779-3b > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column1449_1f1779-3b > .kt-inside-inner-col{flex-direction:column;}.kadence-column1449_1f1779-3b > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column1449_1f1779-3b > .kt-inside-inner-col{background-color:var(--global-palette1, #3182CE);}.kadence-column1449_1f1779-3b > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column1449_1f1779-3b{position:relative;}@media all and (max-width: 1024px){.kadence-column1449_1f1779-3b > .kt-inside-inner-col{border-top:3px solid transparent;border-right:3px solid transparent;border-bottom:3px solid transparent;border-left:3px solid transparent;flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column1449_1f1779-3b > .kt-inside-inner-col{border-top:3px solid transparent;border-right:3px solid transparent;border-bottom:3px solid transparent;border-left:3px solid transparent;flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column kadence-column1449_1f1779-3b kb-section-dir-vertical\"><div class=\"kt-inside-inner-col\">\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Famished\" width=\"720\" height=\"405\" src=\"https:\/\/www.youtube.com\/embed\/SToamAywIDk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n<\/div><\/div>\n\n<\/div><\/div>\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-medium-font-size\"><strong>A Deeper Look<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-left\" style=\"border-style:none;border-width:0px;padding-right:0rem;padding-left:0rem\">When we ran these Coherence Geometry simulations, something unexpected happened. Atomic orbitals \u2014 those familiar shapes from textbooks \u2014 didn\u2019t need to be drawn. They just seemed to <em>form themselves naturally<\/em>. And we didn&#8217;t need to resort to Schr\u00f6dinger&#8217;s equation <em>at all<\/em>. <br><em>(Yeah, we know. We&#8217;re thinking that too: &#8220;How do you get atomic orbitals without Schr\u00f6dinger?!&#8221;)<\/em><\/p>\n\n\n\n<p class=\"has-text-align-left\" style=\"border-style:none;border-width:0px;padding-right:0rem;padding-left:0rem\">Each structure began as a sphere, then gradually reshaped under lightly applied stress, settling into the same <em>p, d, f, <\/em>and <em>g<\/em> forms we\u2019ve all seen but never actually watched emerge.&nbsp;This isn\u2019t animation or artistry \u2014 it\u2019s simply a numerical process unfolding in real time, matter finding its own balance.<\/p>\n\n\n\n<p>The transition from symmetry to structure looks continuous and directional, not random. There&#8217;s a definite process underway. To capture this process in action, Figure 1 shows what seem to be representative orbitals from each shell \u2014<em> p, d, f,<\/em> and <em>g<\/em> \u2014 shown in both intermediate and final states of formation.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"844\" height=\"462\" src=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2025\/08\/Orbital_Linear_Combo_2_Layer_Off_White_844x462_96_dpi.png\" alt=\"\" class=\"wp-image-372\" style=\"width:678px;height:auto\" srcset=\"https:\/\/coherencegeometry.com\/wp-content\/uploads\/2025\/08\/Orbital_Linear_Combo_2_Layer_Off_White_844x462_96_dpi.png 844w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2025\/08\/Orbital_Linear_Combo_2_Layer_Off_White_844x462_96_dpi-600x328.png 600w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2025\/08\/Orbital_Linear_Combo_2_Layer_Off_White_844x462_96_dpi-300x164.png 300w, https:\/\/coherencegeometry.com\/wp-content\/uploads\/2025\/08\/Orbital_Linear_Combo_2_Layer_Off_White_844x462_96_dpi-768x420.png 768w\" sizes=\"auto, (max-width: 844px) 100vw, 844px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-small-font-size\" style=\"padding-right:146px;padding-left:146px\"><strong>Figure 1:<\/strong> <em>p, d, f, and g orbitals emerging during the simulation \u2014 shown in the process of formation (top row) and in their final, stabilized forms (bottom row).<\/em><\/p>\n\n\n\n<p>We don\u2019t yet know what this means. Maybe no one does \u2014 not yet, anyway. But it feels like the beginning of a new kind of conversation about how atoms, and maybe all of nature, find their order. We hope it encourages others to join in that conversation with us.<\/p>\n\n\n\n<p>If this episode piqued your curiosity, you\u2019ll probably want to see where it leads. In&nbsp;<em><a href=\"https:\/\/coherencegeometry.com\/index.php\/bonding-dynamics\/\" data-type=\"page\" data-id=\"287\">Coming Together<\/a><\/em>, we explore how those emerging orbitals respond when they come close enough to feel each other\u2019s presence.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It all starts with a child\u2019s question:\u00a0\u201cWhat\u2019s stuff made of?\u201d From that simple curiosity, a hidden world begins to take shape. Every element \u2014 hydrogen, oxygen, gold \u2014 holds a configuration it can shift into when it\u2019s ready to bond with others. We wondered what an element might look like&nbsp;inside&nbsp;\u2014 if we could actually observe&#8230;<\/p>\n","protected":false},"author":1,"featured_media":1473,"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":[1],"tags":[],"class_list":["post-1449","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/1449","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=1449"}],"version-history":[{"count":4,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/1449\/revisions"}],"predecessor-version":[{"id":1650,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/1449\/revisions\/1650"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media\/1473"}],"wp:attachment":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media?parent=1449"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/categories?post=1449"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/tags?post=1449"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}