{"id":5298,"date":"2019-10-19T11:36:09","date_gmt":"2019-10-19T18:36:09","guid":{"rendered":"http:\/\/theoryofeverything.org\/theToE\/?p=5298"},"modified":"2020-05-12T10:58:28","modified_gmt":"2020-05-12T17:58:28","slug":"latest-paper-unimodular-rotation-of-e8-to-h4-600-cells","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2019\/10\/19\/latest-paper-unimodular-rotation-of-e8-to-h4-600-cells\/","title":{"rendered":"Latest Paper &#8211; Unimodular rotation of E8 to H4 600-cells"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Please see my latest paper that describes some advances in understanding the E8 to H4 rotation matrix  <\/h2>\n\n\n\n<p><a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Unimodular-Rotation-of-E8-to-H4.pdf\">https:\/\/theoryofeverything.org\/TOE\/JGM\/Unimodular-Rotation-of-E8-to-H4.pdf<\/a><\/p>\n\n\n\n<p>Abstract:  We introduce a unimodular Determinant=1 8&#215;8 rotation matrix to produce  four 4 dimensional copies of H4 600-cells from the 240 vertices of the  Split Real Even E8 Lie group. Unimodularity in the rotation matrix  provides for the preservation of the 8 dimensional volume after  rotation, which is useful in the application of the matrix in various  fields, from theoretical particle physics to 3D visualization algorithm  optimization. <\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"716\" src=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/10\/icosahedron-convex-hull-vols-1024x716.png\" alt=\"\" class=\"wp-image-5306\" srcset=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/10\/icosahedron-convex-hull-vols-1024x716.png 1024w, https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/10\/icosahedron-convex-hull-vols-500x349.png 500w, https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/10\/icosahedron-convex-hull-vols.png 2006w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption> Visualization of the Icosahedral points generated recursively&#8230; <\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Please see my latest paper that describes some advances in understanding the E8 to H4 rotation matrix https:\/\/theoryofeverything.org\/TOE\/JGM\/Unimodular-Rotation-of-E8-to-H4.pdf Abstract: We introduce a unimodular Determinant=1 8&#215;8 rotation matrix to produce four 4 dimensional copies of H4 600-cells from the 240 vertices of the Split Real Even E8 Lie group. Unimodularity in the rotation matrix provides for &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2019\/10\/19\/latest-paper-unimodular-rotation-of-e8-to-h4-600-cells\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Latest Paper &#8211; Unimodular rotation of E8 to H4 600-cells<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[4,14,16],"class_list":["post-5298","post","type-post","status-publish","format-standard","hentry","category-physics","tag-e8","tag-math","tag-physics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/5298","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/comments?post=5298"}],"version-history":[{"count":2,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/5298\/revisions"}],"predecessor-version":[{"id":5307,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/5298\/revisions\/5307"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=5298"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=5298"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=5298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}