{"id":1425,"date":"2013-11-15T13:34:47","date_gmt":"2013-11-15T20:34:47","guid":{"rendered":"http:\/\/theoryofeverything.org\/MyToE\/?p=1425"},"modified":"2013-11-15T13:34:47","modified_gmt":"2013-11-15T20:34:47","slug":"another-look-at-integrating-the-pascal-triangle-to-clifford-algebra-e8-lie-algebragroups-octonions-and-particle-physics-standard-model","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2013\/11\/15\/another-look-at-integrating-the-pascal-triangle-to-clifford-algebra-e8-lie-algebragroups-octonions-and-particle-physics-standard-model\/","title":{"rendered":"Another look at integrating the Pascal Triangle to Clifford Algebra, E8 Lie Algebra\/Groups, Octonions and Particle Physics Standard Model"},"content":{"rendered":"<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1432\" rel=\"attachment wp-att-1432\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/11\/Pascal-g1.png\" alt=\"Pascal-g\" width=\"500\" class=\"alignnone size-full wp-image-1432\" \/><\/a><\/p>\n<p>Modified Lisi split real even E8 particle assignment quantum bit patterns:<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1435\" rel=\"attachment wp-att-1435\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/11\/Lisi_Particle_Assignments.png\" alt=\"Lisi_Particle_Assignments\" width=\"500\" class=\"alignnone size-full wp-image-1435\" \/><\/a><\/p>\n<p>Assigning a specific mass, length, time, and charge metrics based on new dimensional relationships and the Planck constant (which defines Higgs mass).<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1069\" rel=\"attachment wp-att-1069\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/04\/ToEsummary1.png\" alt=\"ToEsummary\" width=\"500\" class=\"alignnone size-full wp-image-1069\" \/><\/a><\/p>\n<p>The split real even E8 group used has been determined from this simple root matrix (which gives the Cartan matrix upon dot product with a transpose of itself):<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1440\" rel=\"attachment wp-att-1440\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/11\/DynkinE8Full.svg_.png\" alt=\"DynkinE8Full.svg\" width=\"500\" class=\"alignnone size-full wp-image-1440\" \/><\/a><\/p>\n<p>This  Dynkin diagram builds the Cartan matrix and determines the root\/weight\/height with corresponding Hasse diagrams.<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1226\" rel=\"attachment wp-att-1226\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/06\/E8Hasse.png\" alt=\"E8Hasse\" width=\"500\" class=\"alignnone size-full wp-image-1226\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1243\" rel=\"attachment wp-att-1243\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/06\/E8HassePoset.svg_.png\" alt=\"E8HassePoset.svg\" width=\"500\" class=\"alignnone size-full wp-image-1243\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Modified Lisi split real even E8 particle assignment quantum bit patterns: Assigning a specific mass, length, time, and charge metrics based on new dimensional relationships and the Planck constant (which defines Higgs mass). The split real even E8 group used has been determined from this simple root matrix (which gives the Cartan matrix upon dot &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2013\/11\/15\/another-look-at-integrating-the-pascal-triangle-to-clifford-algebra-e8-lie-algebragroups-octonions-and-particle-physics-standard-model\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Another look at integrating the Pascal Triangle to Clifford Algebra, E8 Lie Algebra\/Groups, Octonions and Particle Physics Standard Model<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[12,18,4,19,16,5],"class_list":["post-1425","post","type-post","status-publish","format-standard","hentry","category-physics","tag-cdf","tag-dynkin","tag-e8","tag-fano","tag-physics","tag-toe"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/1425","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=1425"}],"version-history":[{"count":0,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/1425\/revisions"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=1425"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=1425"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=1425"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}