{"id":17493,"date":"2011-09-19T15:06:05","date_gmt":"2011-09-19T15:06:05","guid":{"rendered":"http:\/\/inacreditavel.ioio.info\/?p=17493"},"modified":"2011-09-19T15:17:40","modified_gmt":"2011-09-19T15:17:40","slug":"o-espaco-tem-simetria-de-rotacao-de-4pi","status":"publish","type":"post","link":"http:\/\/www.inacreditavel.pt\/?p=17493","title":{"rendered":"O espa\u00e7o tem simetria de rota\u00e7\u00e3o de 4pi!"},"content":{"rendered":"<p>O espa\u00e7o f\u00edsico, o comum, aquele onde vivemos, tem simetria de rota\u00e7\u00e3o de 4pi.<br \/>\n4pi?? Porqu\u00ea 4pi?? Ent\u00e3o uma rota\u00e7\u00e3o n\u00e3o s\u00e3o 2pi??<\/p>\n<p>Confesso que nunca percebi bem o que \u00e9 que isto queria dizer, at\u00e9 que apanhei com a pag 12 do livro:<br \/>\n Clifford Algebra &#8211; A Computational Tool for Physicists,  de um tal JOHN SNYGG<\/p>\n<p>E ele explica:<br \/>\n&#8220;To illustrate this, you may wish to carry out a demonstration. First hold<br \/>\na glass of water in the palm of your hand. The hand holding the glass may<br \/>\nbe left or right but it is important that your hand be under the glass with<br \/>\npalm up. Then maintain a firm grip on the glass and rotate it 360\u00b0 without<br \/>\nmoving your feet or spilling any water. You may do this in either the<br \/>\nclockwise or counterclockwise direction. When you have completed this<br \/>\nmaneuver, you will find yourself in an awkward position with the glass<br \/>\nslightly above your head and your elbow pointed upward. Clearly the<br \/>\nrelationship of the glass to you is quite different from what it was in its initial<br \/>\nposition. However if you continue the rotation, you may be surprised to find<br \/>\nthat your arm will unwind itself and the glass will return to its initial position<br \/>\nwith its initial relationship to you.<br \/>\nThus the glass attached to your arm does not have a 2n periodicity but<br \/>\nit does have a 4n periodicity.<br \/>\n&#8211; &#8211;<br \/>\nExperimentei e fiquei esclarecido.<br \/>\nAli\u00e1s, at\u00e9 funciona melhor com uma ch\u00e1vena do com um copo.<br \/>\nCom uma ch\u00e1vena \u00e9 poss\u00edvel alinhar a pega com o indicador e apercebermo-nos melhor que de facto roda 360\u00ba+360\u00ba = 720\u00ba e n\u00e3o 360 para a frente e depois 360 para tr\u00e1s.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>O espa\u00e7o f\u00edsico, o comum, aquele onde vivemos, tem simetria de rota\u00e7\u00e3o de 4pi. 4pi?? Porqu\u00ea 4pi?? Ent\u00e3o uma rota\u00e7\u00e3o n\u00e3o s\u00e3o 2pi?? Confesso que nunca percebi bem o que \u00e9 que isto queria dizer, at\u00e9 que apanhei com a pag 12 do livro: Clifford Algebra &#8211; A Computational Tool for Physicists, de um tal [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,7],"tags":[],"_links":{"self":[{"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=\/wp\/v2\/posts\/17493"}],"collection":[{"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17493"}],"version-history":[{"count":6,"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=\/wp\/v2\/posts\/17493\/revisions"}],"predecessor-version":[{"id":17506,"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=\/wp\/v2\/posts\/17493\/revisions\/17506"}],"wp:attachment":[{"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17493"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.inacreditavel.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}