{"id":1183,"date":"2023-06-06T17:23:08","date_gmt":"2023-06-06T17:23:08","guid":{"rendered":"http:\/\/alanrolsky.site\/?p=1183"},"modified":"2023-06-06T17:23:08","modified_gmt":"2023-06-06T17:23:08","slug":"torsion","status":"publish","type":"post","link":"https:\/\/mx-dilo.red\/?p=1183","title":{"rendered":"Torsion"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Im Rahmen der tensoriell-differentialgeometrischen Aufstellung von nichtlinearen, abh\u00e4ngigen Differentialgleichungen der ART wird eine torsionsfreie Abbildung gefordert ( Levi-Civita-Zusammenhang ) :<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"219\" height=\"31\" src=\"https:\/\/mx-dilo.red\/wp-content\/uploads\/2023\/06\/torsionsfrei2-1.jpg\" alt=\"\" class=\"wp-image-1187\"\/><\/figure>\n\n\n\n<p>Das hei\u00dft, wenn die Torsion identisch Null ist, dann sind die Christoffelsymbole symmetrisch in den kovarianten Indizes. <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"873\" height=\"820\" src=\"https:\/\/mx-dilo.red\/wp-content\/uploads\/2023\/06\/aedk-1.jpg\" alt=\"\" class=\"wp-image-1184\" srcset=\"https:\/\/mx-dilo.red\/wp-content\/uploads\/2023\/06\/aedk-1.jpg 873w, https:\/\/mx-dilo.red\/wp-content\/uploads\/2023\/06\/aedk-1-300x282.jpg 300w, https:\/\/mx-dilo.red\/wp-content\/uploads\/2023\/06\/aedk-1-768x721.jpg 768w, https:\/\/mx-dilo.red\/wp-content\/uploads\/2023\/06\/aedk-1-508x477.jpg 508w\" sizes=\"auto, (max-width: 873px) 100vw, 873px\" \/><figcaption class=\"wp-element-caption\"><em>\u00c4quidistanz<\/em>&#8211;<em>Kurve<\/em> credit to <em>Ag2gaeh<\/em> \u00a9 CC BY-SA 4.0<\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<p>Die Torsion ist mit dem Begriff des Nullteilers verbunden und ist vereinfacht gesprochen ein Ma\u00df f\u00fcr die Abweichung von der Injektivit\u00e4t einer Abbildung, zB. einer Gruppenverkn\u00fcpfung in SL (n,K), einer Matrizenmultiplikation. Besteht jenseits des Formalismus zur Beschreibung der Teilchenspins eine geometrisch-physikalische Verwandtschaft hierzu. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Im Rahmen der tensoriell-differentialgeometrischen Aufstellung von nichtlinearen, abh\u00e4ngigen Differentialgleichungen der ART wird eine torsionsfreie Abbildung gefordert ( Levi-Civita-Zusammenhang ) : Das hei\u00dft, wenn die Torsion identisch Null ist,&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,1],"tags":[],"class_list":["post-1183","post","type-post","status-publish","format-standard","hentry","category-theories","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/mx-dilo.red\/index.php?rest_route=\/wp\/v2\/posts\/1183","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mx-dilo.red\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mx-dilo.red\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mx-dilo.red\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mx-dilo.red\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1183"}],"version-history":[{"count":0,"href":"https:\/\/mx-dilo.red\/index.php?rest_route=\/wp\/v2\/posts\/1183\/revisions"}],"wp:attachment":[{"href":"https:\/\/mx-dilo.red\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1183"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mx-dilo.red\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1183"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mx-dilo.red\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}