{"id":3720,"date":"2015-12-15T18:42:07","date_gmt":"2015-12-15T18:42:07","guid":{"rendered":"http:\/\/theoryofeverything.org\/theToE\/?p=3720"},"modified":"2015-12-27T18:33:46","modified_gmt":"2015-12-27T18:33:46","slug":"octonion-triality-testing","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2015\/12\/15\/octonion-triality-testing\/","title":{"rendered":"Octonion triality testing"},"content":{"rendered":"<p>I am working on validating some theoretical work on the triality automorphisms of the split octonions. This is a post with preliminary work on that&#8230; for those who are interested \ud83d\ude42<\/p>\n<p>BTW &#8211; It requires the <a title=\"free <em>Mathematica CDF plugin&#8221; href=&#8221;http:\/\/www.wolfram.com\/cdf-player\/&#8221; target=&#8221;_blank&#8221;>free <em>Mathematica<\/em> CDF plugin<\/a> and does NOT work on chrome browsers. <\/p>\n<p>For a non-interactive version, I have also uploaded a .PDF version <a href=\"http:\/\/theoryofeverything.org\/TOE\/JGM\/octonion triality checks.pdf\">here<\/a>.<\/p>\n<p>An addendum to the original post (below):<br \/>\n<a href=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2015\/12\/octonion-duality-triality.png\" rel=\"attachment wp-att-3738\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2015\/12\/octonion-duality-triality.png\" alt=\"octonion-duality-triality\" width=\"729\" height=\"835\" class=\"aligncenter size-full wp-image-3738\" srcset=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2015\/12\/octonion-duality-triality.png 729w, https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2015\/12\/octonion-duality-triality-437x500.png 437w\" sizes=\"auto, (max-width: 729px) 100vw, 729px\" \/><\/a><\/p>\n<p>[WolframCDF source=&#8221;http:\/\/theoryofeverything.org\/TOE\/JGM\/octonion triality checks.cdf&#8221; width=&#8221;900&#8243; height=&#8221;8000&#8243; altimage=&#8221;http:\/\/theoryofeverything.org\/TOE\/JGM\/octonion triality checks.png&#8221; altimagewidth=&#8221;900&#8243; altimageheight=&#8221;8000&#8243;]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I am working on validating some theoretical work on the triality automorphisms of the split octonions. This is a post with preliminary work on that&#8230; for those who are interested \ud83d\ude42 BTW &#8211; It requires the<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"image","meta":{"footnotes":""},"categories":[3],"tags":[4,19,14,20,16],"class_list":["post-3720","post","type-post","status-publish","format-image","hentry","category-physics","tag-e8","tag-fano","tag-math","tag-octonion","tag-physics","post_format-post-format-image"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3720","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=3720"}],"version-history":[{"count":5,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3720\/revisions"}],"predecessor-version":[{"id":3741,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3720\/revisions\/3741"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=3720"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=3720"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=3720"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}