{"id":1054,"date":"2023-10-04T15:38:50","date_gmt":"2023-10-04T22:38:50","guid":{"rendered":"https:\/\/labs.wsu.edu\/ginnlab\/?page_id=1054"},"modified":"2023-10-04T15:54:30","modified_gmt":"2023-10-04T22:54:30","slug":"twins-paradox","status":"publish","type":"page","link":"https:\/\/labs.wsu.edu\/ginnlab\/twins-paradox\/","title":{"rendered":"Twins Paradox"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">An Extreme Application of Putting Clocks in Conservation Equations<\/h1>\n\n\n\n<p>Much of the research in my lab has to do with putting clocks in conservation and other differential equations, starting with the <a href=\"https:\/\/labs.wsu.edu\/ginnlab\/documents\/2023\/10\/ginn1999.pdf\" data-type=\"URL\" data-id=\"https:\/\/labs.wsu.edu\/ginnlab\/documents\/2023\/10\/ginn1999.pdf\">basic approach in 1999<\/a>.\u00a0 The simplest example is the Groundwater Age case, but here we do\u00a0 the same thing in the Twin\u2019s paradox of A.Einstein\u2019s special relativity.\u00a0 One can put either a ship clock, or an Earth clock, onboard, so the astronaut can tell what time it is in either the moving ship or back on Earth.<\/p>\n\n\n\n<figure class=\"wp-block-gallery columns-3 is-cropped wp-block-gallery-1 is-layout-flex\"><ul class=\"blocks-gallery-grid\"><li class=\"blocks-gallery-item\"><figure><img decoding=\"async\" loading=\"lazy\" width=\"792\" height=\"594\" src=\"https:\/\/s3.wp.wsu.edu\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154558-1-792x594.png\" alt=\"\" data-id=\"1075\" data-full-url=\"https:\/\/s3.wp.wsu.edu\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154558-1.png\" data-link=\"https:\/\/labs.wsu.edu\/ginnlab\/twins-paradox\/screenshot-2023-10-04-154558-1\/\" class=\"wp-image-1075\" srcset=\"https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154558-1-792x594.png 792w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154558-1-396x297.png 396w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154558-1-768x576.png 768w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154558-1-1536x1152.png 1536w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154558-1-198x149.png 198w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154558-1.png 1538w\" sizes=\"(max-width: 792px) 100vw, 792px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img decoding=\"async\" loading=\"lazy\" width=\"792\" height=\"593\" src=\"https:\/\/s3.wp.wsu.edu\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154611-1-792x593.png\" alt=\"\" data-id=\"1074\" data-full-url=\"https:\/\/s3.wp.wsu.edu\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154611-1.png\" data-link=\"https:\/\/labs.wsu.edu\/ginnlab\/twins-paradox\/screenshot-2023-10-04-154611-1\/\" class=\"wp-image-1074\" srcset=\"https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154611-1-792x593.png 792w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154611-1-396x297.png 396w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154611-1-768x576.png 768w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154611-1-1536x1151.png 1536w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154611-1-198x148.png 198w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154611-1.png 1544w\" sizes=\"(max-width: 792px) 100vw, 792px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img decoding=\"async\" loading=\"lazy\" width=\"792\" height=\"594\" src=\"https:\/\/s3.wp.wsu.edu\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154624-1-792x594.png\" alt=\"\" data-id=\"1073\" data-full-url=\"https:\/\/s3.wp.wsu.edu\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154624-1.png\" data-link=\"https:\/\/labs.wsu.edu\/ginnlab\/twins-paradox\/screenshot-2023-10-04-154624-1\/\" class=\"wp-image-1073\" srcset=\"https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154624-1-792x594.png 792w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154624-1-396x297.png 396w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154624-1-768x576.png 768w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154624-1-1536x1152.png 1536w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154624-1-198x149.png 198w, https:\/\/wpcdn.web.wsu.edu\/wp-labs\/uploads\/sites\/2551\/2023\/10\/Screenshot-2023-10-04-154624-1.png 1546w\" sizes=\"(max-width: 792px) 100vw, 792px\" \/><\/figure><\/li><\/ul><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>An Extreme Application of Putting Clocks in Conservation Equations Much of the research in my lab has to do with putting clocks in conservation and other differential equations, starting with the basic approach in 1999.\u00a0 The simplest example is the Groundwater Age case, but here we do\u00a0 the same thing in the Twin\u2019s paradox of [&hellip;]<\/p>\n","protected":false},"author":40826,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"categories":[],"tags":[],"wsuwp_university_location":[],"wsuwp_university_org":[],"_links":{"self":[{"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/pages\/1054"}],"collection":[{"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/users\/40826"}],"replies":[{"embeddable":true,"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/comments?post=1054"}],"version-history":[{"count":5,"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/pages\/1054\/revisions"}],"predecessor-version":[{"id":1076,"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/pages\/1054\/revisions\/1076"}],"wp:attachment":[{"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/media?parent=1054"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/categories?post=1054"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/tags?post=1054"},{"taxonomy":"wsuwp_university_location","embeddable":true,"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/wsuwp_university_location?post=1054"},{"taxonomy":"wsuwp_university_org","embeddable":true,"href":"https:\/\/labs.wsu.edu\/ginnlab\/wp-json\/wp\/v2\/wsuwp_university_org?post=1054"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}