{"id":349168,"date":"2017-01-09T03:00:00","date_gmt":"2017-01-09T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=124a076c553b588d4f29022e5f41cac3"},"modified":"2017-01-09T03:00:00","modified_gmt":"2017-01-09T00:00:00","slug":"einsteins-sigh-hidden-symmetry-in-einsteins-derivation-of-the-lorentz-transformation","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=349168","title":{"rendered":"Einstein\u2019s sigh: hidden symmetry in Einstein\u2019s derivation of the Lorentz transformation"},"content":{"rendered":"<p>\u2018Das h\u00e4tte ich einfacher sagen k\u00f6nnen (I could have said that more simply).\u2019 was Einstein\u2019s sigh<br \/>\nwhen he had a chance to remark on his own derivation of the Lorentz transformation (LT) in the 1905<br \/>\nseminal paper. In fact, in a popular science exposition of the theory of relativity Einstein did<br \/>\nprovide such a simple derivation of the LT. It is a curious historical fact that the latter<br \/>\nderivation was presented in 1916, while Einstein\u2019s remark was made in 1943. Was the 1916 derivation<br \/>\nsimple enough to relieve his sigh? Had he expected an even simpler derivation beyond his thoughts?<br \/>\nIn this paper, Einstein\u2019s simple derivation of the LT is revisited and analysed. We show that the LT<br \/>\ncan be obtained from a symmetry principle hidden in Einstein\u2019s logical reasoning. First, the<br \/>\nrelativity principle can be restated as a mirror principle based on the space\u2013time<br \/>\nexchange-inversion operation. Second, the assumed constancy of the speed of light (Einstein\u2019s second<br \/>\npostulate) can be derived by u&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u2018Das h\u00e4tte ich einfacher sagen k\u00f6nnen (I could have said that more simply).\u2019 was Einstein\u2019s sigh<br \/>\nwhen he had a chance to remark on his own derivation of the Lorentz transformation (LT) in the 1905<br \/>\nseminal paper. In fact, in a popular science &#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-349168","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/349168","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=349168"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/349168\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=349168"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=349168"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=349168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}