{"id":783,"date":"2016-04-15T13:43:12","date_gmt":"2016-04-15T13:43:12","guid":{"rendered":"http:\/\/blogs.bath.ac.uk\/atomic-manipulation\/?p=783"},"modified":"2016-04-15T13:43:12","modified_gmt":"2016-04-15T13:43:12","slug":"twin-paradox","status":"publish","type":"post","link":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/?p=783","title":{"rendered":"Twin Paradox*"},"content":{"rendered":"<p>Here I wish to play a bit with the \"Twin Paradox\" of Special Relativity. [*note, it ain't a paradox]. For this you'll need to be happy with (1) time-dilation, (2) length-contraction, (3) Lorentz velocity transforms and (4) straight lines. I like to draw things, so in the video I construct 3 space-time diagrams for the various reference frames of the problem. A pdf version of the 3 space-time diagrams can be found here:\u00a0<a href=\"http:\/\/blogs.bath.ac.uk\/atomic-manipulation\/wp-content\/uploads\/sites\/34\/2016\/04\/Sloan_Twin_SPACETIME.pdf\">Sloan_Twin_SPACETIME<\/a>\u00a0so you can see the final versions.<\/p>\n<p><iframe loading=\"lazy\" title=\"Twin Paradox\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Op8nKUeItSg?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>The subtext to this is really it's a chance to put into practice some of the fundamental properties of Special Relativity outside their usual undergraduate use of simple problems. The logic I follow is hopefully step-by-step simple, but the picture we build up will be complicated. At the end the paradox will melt away, in fact it was never there in the first place.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here I wish to play a bit with the \"Twin Paradox\" of Special Relativity. [*note, it ain't a paradox]. For this you'll need to be happy with (1) time-dilation, (2) length-contraction, (3) Lorentz velocity transforms and (4) straight lines. I...<\/p>\n","protected":false},"author":84,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":{"_acf_changed":false,"footnotes":""},"categories":[10,1],"tags":[],"class_list":["post-783","post","type-post","status-publish","format-video","hentry","category-teaching","category-uncategorized","post_format-post-format-video"],"acf":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=\/wp\/v2\/posts\/783","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=\/wp\/v2\/users\/84"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=783"}],"version-history":[{"count":0,"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=\/wp\/v2\/posts\/783\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=783"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=783"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/atomic-manipulation\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=783"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}