{"id":35,"date":"2009-12-09T03:31:26","date_gmt":"2009-12-08T22:01:26","guid":{"rendered":"http:\/\/ckraju.net\/blog\/?p=35"},"modified":"2009-12-09T03:31:26","modified_gmt":"2009-12-08T22:01:26","slug":"the-tilt-in-the-arrow-of-time","status":"publish","type":"post","link":"https:\/\/ckraju.net\/wordpress_F\/?p=35","title":{"rendered":"The tilt in the arrow of time"},"content":{"rendered":"<p>In a 1980<a href=\"http:\/\/www.iop.org\/EJ\/abstract\/0305-4470\/13\/10\/025\"> paper <\/a>in the Journal of Physics, I\u00a0predicted that advanced radiation actually exists in small amounts, so that some information travels from future to present and from present to past. \u00a0<\/p>\n<p>How to test this experimentally? in my 1994 book <em><a href=\"http:\/\/ckraju.net\/11picsoftime\/oldbook\/index.html\">Time: Towards a Consistent Theory<\/a><\/em>, I argued that this &#8220;hypothesis&#8221; of a &#8220;tilt in the arrow of time meant that physics must be done using mixed-type functional differential equations. (This is not really a hypothesis, but is just the most general way of doing physics after relativity, but people didn&#8217;t see it that way for a century\u00a0earlier.)<\/p>\n<p>It is gratifying that the study of such equations is finally being taken up on a wider scale.\u00a0The scientific\u00a0report of the SDDE09\u00a0<a href=\"http:\/\/www.mpipks-dresden.mpg.de\/~sdde09\">workshop at the Max Planck Institute<\/a> in Dresden says:<\/p>\n<p>&#8220;Four talks, delivered by Gernot Bauer, Dirk Deckert and C.K. Raju and Savio Rodrigues, considered the equations of motion of charged particles in the action-at-a-distance electrodynamics, which are a neutral mixed-type implicitly state-dependent differential equation, and their formulation and numerical solution as (well-posed) initial value or boundary value problems. These were perhaps the most challenging equations considered during the workshop&#8221;.<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/ckraju.net\/gif\/mpi-group-photo-reduced.jpg\" alt=\"Dresden workshop group photo\" width=\"493\" height=\"283\" \/><!--more--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a 1980 paper in the Journal of Physics, I\u00a0predicted that advanced radiation actually exists in small amounts, so that some information travels from future to present and from present to past. \u00a0 How to test this experimentally? in my 1994 book Time: Towards a Consistent Theory, I argued that this &#8220;hypothesis&#8221; of a &#8220;tilt in the arrow of time meant that physics must be done using mixed-type functional differential equations. (This is not really a hypothesis, but is just the most general way of doing physics after relativity, but people didn&#8217;t see it that way for a century\u00a0earlier.) It is gratifying that the study of such equations is finally being taken up on a wider scale.\u00a0The scientific\u00a0report of the SDDE09\u00a0workshop at the Max Planck Institute in Dresden says: &#8220;Four talks, delivered by Gernot Bauer, Dirk Deckert and C.K. Raju and Savio Rodrigues, considered the equations of motion of charged particles in the action-at-a-distance electrodynamics, which are a neutral mixed-type implicitly state-dependent differential equation, and their formulation and numerical solution as (well-posed) initial value or boundary value problems. These were perhaps the most challenging equations considered during the workshop&#8221;.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-35","post","type-post","status-publish","format-standard","hentry","category-physics"],"_links":{"self":[{"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/posts\/35","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=35"}],"version-history":[{"count":0,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/posts\/35\/revisions"}],"wp:attachment":[{"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=35"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=35"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=35"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}