{"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":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"description\" content=\"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 8x8 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\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"jgmoxness\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/theoryofeverything.org\/theToE\/2019\/10\/19\/latest-paper-unimodular-rotation-of-e8-to-h4-600-cells\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Visualizing a Theory of Everything! - Dedicated to the pursuit of beauty and Truth in Nature!\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Latest Paper \u2013 Unimodular rotation of E8 to H4 600-cells - Visualizing a Theory of Everything!\" \/>\n\t\t<meta property=\"og:description\" content=\"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 8x8 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\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/theoryofeverything.org\/theToE\/2019\/10\/19\/latest-paper-unimodular-rotation-of-e8-to-h4-600-cells\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2019-10-19T18:36:09+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2020-05-12T17:58:28+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Latest Paper \u2013 Unimodular rotation of E8 to H4 600-cells - Visualizing a Theory of Everything!\" \/>\n\t\t<meta name=\"twitter:description\" content=\"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 8x8 rotation matrix to produce four 4 dimensional copies of H4 600-cells from the 240 vertices of the Split Real Even E8 Lie group. 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