{"id":10826,"date":"2017-08-10T07:50:31","date_gmt":"2017-08-10T12:50:31","guid":{"rendered":"http:\/\/huewhite.com\/umb\/?p=10826"},"modified":"2017-08-10T07:50:31","modified_gmt":"2017-08-10T12:50:31","slug":"word-of-the-day-196","status":"publish","type":"post","link":"https:\/\/huewhite.com\/umb\/2017\/08\/10\/word-of-the-day-196\/","title":{"rendered":"Word Of The Day"},"content":{"rendered":"

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

An amplituhedron<\/b> is a geometric structure introduced in 2013 by Nima Arkani-Hamed and Jaroslav Trnka. It enables simplified calculation of particle<\/a> interactions in some quantum field<\/a> theories. In planar N<\/i> = 4 supersymmetric Yang\u2013Mills theory<\/a>, also equivalent to the perturbative topological B model string theory<\/a> in twistor space<\/a>, an amplituhedron is defined as a mathematical space known as the positive Grassmannian<\/a>. [Wikipedia<\/strong><\/a>]<\/em><\/p><\/blockquote>\n

Noted in “The geometry that could reveal the true nature of space-time<\/em><\/a>,” Anil Ananthaswamy<\/span>, NewScientist<\/strong><\/em> (29 July 2017, paywall):<\/p>\n

\n
\"\"<\/a>

Source: Theory Of Everything<\/strong><\/a><\/p><\/div>\n

It took Nima Arkani-Hamed<\/a> and his team at the Institute of Advanced Studies (IAS) in New Jersey, including his then students Jaroslav Trnka<\/a> and Bourjaily, to join the dots. Building on the seemingly esoteric work of pure mathematicians, the team arrived at a mind-boggling conclusion: the scattering amplitude calculated with the BCFW technique corresponds beautifully to the volume of a new mathematical object. They gave a name to this multi-dimensional concatenation of polyhedrons: the amplituhedron.<\/p><\/blockquote>\n

Now go out and drop this in casual conversation.<\/p>\n","protected":false},"excerpt":{"rendered":"

amplituhedron: An amplituhedron is a geometric structure introduced in 2013 by Nima Arkani-Hamed and Jaroslav Trnka. It enables simplified calculation of particle interactions in some quantum field theories. In planar N = 4 supersymmetric Yang\u2013Mills theory, also equivalent to the perturbative topological B model string theory in twistor space, an \u2026 Continue reading → <\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-10826","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\/10826","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=10826"}],"version-history":[{"count":3,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/posts\/10826\/revisions"}],"predecessor-version":[{"id":10851,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/posts\/10826\/revisions\/10851"}],"wp:attachment":[{"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/media?parent=10826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/categories?post=10826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/huewhite.com\/umb\/wp-json\/wp\/v2\/tags?post=10826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}