{"id":37126,"date":"2022-08-26T20:42:49","date_gmt":"2022-08-27T01:42:49","guid":{"rendered":"http:\/\/huewhite.com\/umb\/?p=37126"},"modified":"2022-08-26T20:42:49","modified_gmt":"2022-08-27T01:42:49","slug":"word-of-the-day-823","status":"publish","type":"post","link":"https:\/\/huewhite.com\/umb\/2022\/08\/26\/word-of-the-day-823\/","title":{"rendered":"Word Of The Day"},"content":{"rendered":"

Octonion<\/em>:<\/p>\n

In\u00a0mathematics<\/a>, the\u00a0octonions<\/b>\u00a0are a\u00a0normed division algebra<\/a>\u00a0over the\u00a0real numbers<\/a>, a kind of\u00a0hypercomplex<\/a>\u00a0number system<\/a>. The octonions are usually represented by the capital letter O, using boldface\u00a0O<\/b><\/span>\u00a0or\u00a0blackboard bold<\/a>\u00a0{\\displaystyle \\mathbb {O} }<\/span>\"\\mathbb<\/span>. Octonions have eight\u00a0dimensions<\/a>; twice the number of dimensions of the\u00a0quaternions<\/a>, of which they are an extension. They are\u00a0noncommutative<\/a>\u00a0and\u00a0nonassociative<\/a>, but satisfy a weaker form of associativity; namely, they are\u00a0alternative<\/a>. They are also\u00a0power associative<\/a>. [Wikipedia<\/strong><\/a>]<\/em><\/p><\/blockquote>\n

That’s opaque, if I may be polite. Noted in “Octonions: The strange maths that could unite the laws of nature<\/em><\/a>,” Michael Brooks, NewScientist<\/strong><\/em> (20 August 2022, paywall):<\/p>\n

Mathematicians are excited because they reckon that by translating our theories of reality into the\u00a0language of the octonions<\/a>, it could tidy up some of the deepest problems in physics and clear a path to a \u201cgrand unified theory\u201d that can describe the universe in one statement. \u201cThis feels like a very promising direction,\u201d says\u00a0Latham Boyle<\/a>\u00a0at the Perimeter Institute in Waterloo, Canada. \u201cI find it irresistible to think about.\u201d<\/p><\/blockquote>\n

Sounds exciting. I wish I had a brain that worked that way.<\/p>\n

I’d dust it every day and never let the cat play with it.<\/p>\n","protected":false},"excerpt":{"rendered":"

Octonion: In\u00a0mathematics, the\u00a0octonions\u00a0are a\u00a0normed division algebra\u00a0over the\u00a0real numbers, a kind of\u00a0hypercomplex\u00a0number system. The octonions are usually represented by the capital letter O, using boldface\u00a0O\u00a0or\u00a0blackboard bold\u00a0{\\displaystyle \\mathbb {O} }. Octonions have eight\u00a0dimensions; twice the number of dimensions of the\u00a0quaternions, of which they are an extension. They are\u00a0noncommutative\u00a0and\u00a0nonassociative, but satisfy a weaker \u2026 Continue reading → <\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-37126","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/posts\/37126","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/comments?post=37126"}],"version-history":[{"count":1,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/posts\/37126\/revisions"}],"predecessor-version":[{"id":37127,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/posts\/37126\/revisions\/37127"}],"wp:attachment":[{"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/media?parent=37126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/categories?post=37126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/tags?post=37126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}