{"id":813,"date":"2021-09-28T09:00:43","date_gmt":"2021-09-28T14:00:43","guid":{"rendered":"http:\/\/www.fruechtetheory.com\/blog\/?p=813"},"modified":"2021-09-28T09:01:09","modified_gmt":"2021-09-28T14:01:09","slug":"diameter-of-the-electron","status":"publish","type":"post","link":"https:\/\/www.fruechtetheory.com\/blog\/2021\/09\/28\/diameter-of-the-electron\/","title":{"rendered":"Diameter of the Electron"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">It has been surmised that with conjugate wave gravitons, the number of gravitons in a free electron in the earth\u2019s locale may be the reciprocal of the fine structure constant.&nbsp; We may then use this number to determine a possible diameter of the electron.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">First, start with the energy:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(5.011 x 10<sup>-11<\/sup> J) x 137 = 6.8651 x 10<sup>-9 <\/sup>J<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Then use the electron\u2019s spin angular momentum:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0127\/2 = (\u00bd) mvr = (\u00bd) mr<sup>2<\/sup>\u03c9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rearranging:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u03c9 = \u0127 \/ (mr<sup>2<\/sup>)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Considering rotational kinetic energy, we have:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E<sub>k<\/sub> = (\u00bd) [I\u03c9<sup>2<\/sup>] = (\u00bd) [ (\u00bd) mr<sup>2<\/sup> ] \u03c9<sup>2<\/sup> = 6.8651 x 10<sup>-9 <\/sup>J<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Substituting \u03c9 from above:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E<sub>k<\/sub> = (\u00bd) [ (\u00bd) mr<sup>2<\/sup> ] [\u0127 \/ (mr<sup>2<\/sup>]<sup>2<\/sup> = (\u00bd) (\u00bd) [\u0127<sup>2<\/sup> \/ (mr<sup>2<\/sup>)]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1\/r<sup>2<\/sup> = [(4) (6.8651 x 10<sup>-9 <\/sup>J) (9.1095 x 10<sup>-31<\/sup> kg)] \/ \u0127<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">r = 6.6676 x 10<sup>-16<\/sup> m<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D = 2r = 1.3335 x 10<sup>-15<\/sup> m<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u03c9 = \u0127 \/ (mr<sup>2<\/sup>) = 2.6040 x 10<sup>26<\/sup> rad\/sec<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This angular velocity is fictitious, though it can be used in calculations due to Green\u2019s Theorem (see April 2007 paper).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Of course the number of gravitons in an electron in an atomic orbital varies, and thus the electron diameter would vary also.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It has been surmised that with conjugate wave gravitons, the number of gravitons in a free electron in the earth\u2019s locale may be the reciprocal of the fine structure constant.&nbsp; We may then use this number to determine a possible diameter of the electron. First, start with the energy: (5.011 x 10-11 J) x 137 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-813","post","type-post","status-publish","format-standard","hentry","category-quantum-mechanics"],"_links":{"self":[{"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/813","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/comments?post=813"}],"version-history":[{"count":1,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/813\/revisions"}],"predecessor-version":[{"id":814,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/813\/revisions\/814"}],"wp:attachment":[{"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/media?parent=813"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/categories?post=813"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/tags?post=813"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}