{"id":5263,"date":"2019-02-03T15:14:48","date_gmt":"2019-02-03T22:14:48","guid":{"rendered":"http:\/\/theoryofeverything.org\/theToE\/?p=5263"},"modified":"2020-05-12T10:59:07","modified_gmt":"2020-05-12T17:59:07","slug":"mathematica-analysis-of-cohl-fureys-octonion-and-clifford-group-theoretic-%e2%84%82%e2%8a%97o-assignments-to-standard-model-particles","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2019\/02\/03\/mathematica-analysis-of-cohl-fureys-octonion-and-clifford-group-theoretic-%e2%84%82%e2%8a%97o-assignments-to-standard-model-particles\/","title":{"rendered":"Mathematica Analysis of Cohl Furey&#8217;s octonion and Clifford group theoretic  \u2102\u2297O assignments to standard model particles"},"content":{"rendered":"<p>I&#8217;ve read some recent papers by Cohl Furey and was intrigued by the potential relationship between the octonion and Clifford group theoretic assignments to standard model particles. Since I have developed an extensive Mathematica notebook to perform symbolic analysis using these structures (derived primarily for E8 Lie group work), I decided to follow her suggestion&#8230;  &#8220;The reader is encouraged to check that C\u2297O forms the 64-complex-dimensional Clifford algebra Cl(6), generated by the set {i e1,&#8230;i e6} acting on f&#8221;.<\/p>\n<p>So to that end, I created the <a href=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/02\/Analysis-of-Furey-papers-2a.pdf\">this .pdf<\/a> with some preliminary results of that analysis. I found a few minor issues, but so far the model seems to symbolically compute consistently. Very cool!<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/02\/Furey-2a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/02\/Furey-2a.png\" alt=\"\" width=\"886\" height=\"917\" class=\"aligncenter size-full wp-image-5265\" srcset=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/02\/Furey-2a.png 886w, https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2019\/02\/Furey-2a-483x500.png 483w\" sizes=\"auto, (max-width: 886px) 100vw, 886px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>I&#8217;ve read some recent papers by Cohl Furey and was intrigued by the potential relationship between the octonion and Clifford group theoretic assignments to standard model particles. Since I have developed an extensive Mathematica notebook to perform symbolic analysis using these structures (derived primarily for E8 Lie group work), I decided to follow her suggestion&#8230; &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2019\/02\/03\/mathematica-analysis-of-cohl-fureys-octonion-and-clifford-group-theoretic-%e2%84%82%e2%8a%97o-assignments-to-standard-model-particles\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Mathematica Analysis of Cohl Furey&#8217;s octonion and Clifford group theoretic  \u2102\u2297O assignments to standard model particles<\/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":[14,20,16],"class_list":["post-5263","post","type-post","status-publish","format-standard","hentry","category-physics","tag-math","tag-octonion","tag-physics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/5263","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=5263"}],"version-history":[{"count":2,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/5263\/revisions"}],"predecessor-version":[{"id":5267,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/5263\/revisions\/5267"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=5263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=5263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=5263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}