{"id":490,"date":"2024-04-28T23:36:11","date_gmt":"2024-04-28T23:36:11","guid":{"rendered":"https:\/\/src.cikeys.com\/2024\/?page_id=490"},"modified":"2024-04-28T23:36:11","modified_gmt":"2024-04-28T23:36:11","slug":"the-uses-and-purposes-of-different-algebras-in-physics","status":"publish","type":"page","link":"https:\/\/src.cikeys.com\/2024\/conference-schedule\/poster-presentations\/poster-presentations-session-2\/the-uses-and-purposes-of-different-algebras-in-physics\/","title":{"rendered":"The Uses and Purposes of Different Algebras in Physics"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Jackson Seligman, &amp; Dr. Ivona Grzegorczyk<\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"wp-block-paragraph\">In this presentation I am going through the various Algebras in Physics and their uses and rationalizations for why they are used. The Algebras covered in this presentation are R, C, H, Cl+ 3,0, O, and Exterior Algebras. Discussing wave functions, Quantum Mechanics, Rotations, Cross Product as wedge products, Spinors, and Supersymmetry.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I will be exploring representations in physics and identifying consistent patterns within numerical systems that would solve a particular property of the equation.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The real numbers are the basic continuous number system most capable of being identified. It is any number that can have a decimal and has only one basis. The next would be the complex numbers, denoted as a + bi. A real number:a and a complex numbe:b with the imaginary generator i where i^2 = -1. A lesser known but very common algebra would be the quaternions. they come in the form a +bi + cj +dk where i^ = j^2 = k^2 = ijk = -1<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"wp-block-paragraph\"><strong><a href=\"https:\/\/src.cikeys.com\/2024\/conference-schedule\/poster-presentations\/\">Poster Presentation<\/a><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/src.cikeys.com\/2024\/conference-schedule\/poster-presentations\/poster-presentations-session-2\/\">Session 2<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1:00pm&nbsp;<strong>\u2013<\/strong>&nbsp;2:15pm<br>Grand Salon<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Mathematics<\/strong><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Jackson Seligman, &amp; Dr. Ivona Grzegorczyk In this presentation I am going through the various Algebras in Physics and their uses and rationalizations for why they are used. The Algebras covered in this presentation are R, C, H, Cl+ 3,0, O, and Exterior Algebras. Discussing wave functions, Quantum Mechanics, Rotations, Cross Product as wedge products, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":47,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[5,7],"tags":[31],"class_list":["post-490","page","type-page","status-publish","hentry","category-poster-presentations","category-session-2","tag-mathematics","post"],"_links":{"self":[{"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/pages\/490","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/comments?post=490"}],"version-history":[{"count":1,"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/pages\/490\/revisions"}],"predecessor-version":[{"id":540,"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/pages\/490\/revisions\/540"}],"up":[{"embeddable":true,"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/pages\/47"}],"wp:attachment":[{"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/media?parent=490"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/categories?post=490"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/src.cikeys.com\/2024\/wp-json\/wp\/v2\/tags?post=490"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}