{"id":3937,"date":"2021-10-05T11:09:40","date_gmt":"2021-10-05T18:09:40","guid":{"rendered":"https:\/\/qpr.ca\/blogs\/?page_id=3937"},"modified":"2021-10-05T17:14:39","modified_gmt":"2021-10-06T00:14:39","slug":"from-speed-of-light","status":"publish","type":"page","link":"https:\/\/qpr.ca\/blogs\/pages\/physics\/relativity\/special\/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 &hellip; <a href=\"https:\/\/qpr.ca\/blogs\/pages\/physics\/relativity\/special\/derivations\/from-speed-of-light\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":3942,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-3937","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/pages\/3937","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/comments?post=3937"}],"version-history":[{"count":2,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/pages\/3937\/revisions"}],"predecessor-version":[{"id":3940,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/pages\/3937\/revisions\/3940"}],"up":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/pages\/3942"}],"wp:attachment":[{"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/media?parent=3937"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/categories?post=3937"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/tags?post=3937"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}