{"id":155,"date":"2022-01-08T00:52:56","date_gmt":"2022-01-08T00:52:56","guid":{"rendered":"https:\/\/qpr.ca\/blogs\/physics\/from-speed-of-light\/"},"modified":"2022-01-08T07:05:36","modified_gmt":"2022-01-08T07:05:36","slug":"from-speed-of-light","status":"publish","type":"page","link":"https:\/\/qpr.ca\/blogs\/physics\/mathnotes\/physics\/sample-page-2\/special-relativity\/derivations\/from-speed-of-light\/","title":{"rendered":"From Speed of Light"},"content":{"rendered":"\n<p>The fact that all observers measure the same speed for any light signal (passing through a vacuum) can be used to derive the Lorentz transformation rules in various ways.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">The Ship&#8217;s Mast<\/h3>\n\n\n\n<p>Consider a flashlight or laser pointer shining from the crow&#8217;s nest at the top of a ship&#8217;s mast down to a point on the deck right at the base of the mast<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">The Light Clock<\/h3>\n\n\n\n<p>If each observer measures time using a clock whose ticks are triggered by the reflection of a light pulse back and forth between two reflecting plates<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">The Wave Front Formula<\/h3>\n\n\n\n<p>The condition that the position of the light signal is given by the same formula in terms of either observer&#8217;s coordinates<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The fact that all observers measure the same speed for any light signal (passing through a vacuum) can be used to derive the Lorentz transformation rules in various ways. The Ship&#8217;s Mast Consider a flashlight or laser pointer shining from the crow&#8217;s nest at the top of a ship&#8217;s mast down to a point on &hellip; <a href=\"https:\/\/qpr.ca\/blogs\/physics\/mathnotes\/physics\/sample-page-2\/special-relativity\/derivations\/from-speed-of-light\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">From Speed of Light<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":156,"menu_order":1,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[],"tags":[],"topics":[],"class_list":["post-155","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/pages\/155","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/comments?post=155"}],"version-history":[{"count":1,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/pages\/155\/revisions"}],"predecessor-version":[{"id":219,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/pages\/155\/revisions\/219"}],"up":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/pages\/156"}],"wp:attachment":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/media?parent=155"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/categories?post=155"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/tags?post=155"},{"taxonomy":"topics","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/topics?post=155"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}