{"id":965,"date":"2023-03-17T19:12:28","date_gmt":"2023-03-18T00:12:28","guid":{"rendered":"http:\/\/www.fruechtetheory.com\/blog\/?p=965"},"modified":"2023-03-17T19:18:10","modified_gmt":"2023-03-18T00:18:10","slug":"nuclear-ideals","status":"publish","type":"post","link":"https:\/\/www.fruechtetheory.com\/blog\/2023\/03\/17\/nuclear-ideals\/","title":{"rendered":"Nuclear Ideals"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">On April 10, 2008, it was put forth that \u201cwe would have gravitational energy replenishing Coulomb energy through both the electrons and the nucleus of an atom\u201d, through absorption of gamma rays:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.fruechtetheory.com\/blog\/2008\/04\/10\/the-nucleus-and-gravitons-2\/\">https:\/\/www.fruechtetheory.com\/blog\/2008\/04\/10\/the-nucleus-and-gravitons-2\/<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">It wasn\u2019t until 2022 that mathematics was applied to the process, and of course free nuclei and electrons would be absorbing gravitons as well to produce Coulomb fields.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In Krane\u2019s work, the section on Spin-Orbit Potential starts on page 123. There, in the language of atomic physicists applied to nuclear physics: \u201c<em>total angular momentum<\/em> <strong><em>j<\/em><\/strong> = <strong><em>l<\/em><\/strong> + <strong><em>s<\/em><\/strong>\u201d ([1], pg. 124). In the same way, in the language of differential geometry, Lie groups, and manifolds, J can be called a nucleus, or \u201can isometry J of N\u201d ([2], pg. 207). There is a \u201cclosed embedded submanifold N \u2282 M\u201d ([3], pg. 165), and \u201cN is closed in M\u201d ([2], pg. 236). In this case N is the space atoms and molecules take up, to the outer reaches of the electron orbitals.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In \u201cits ideal system <em>J<\/em> = (J, R(f), \u03b8) is uniform\u201d ([3], pg. 170). This infers that each different nuclei has a unique structure, and R(f) is the radius of the nuclear fibration. Since nuclei are normally parts of systems of atoms and molecules, \u03b8 refers to the angle of an electron arc, and each nucleus knows when to send spin flip signals for each electron arc for which it is responsible. The structure of nuclei is so complex that \u201ccovariant derivatives of J vanish\u201d ([2], pg. 142).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As far as holding nuclear material and groups together, magnetic fields are mostly responsible, and serve as the function of chirality in Coulomb fields. As an example, \u201cinductors correspond to, and characterize, pullback groupoids\u201d ([3], pg. 83), as put out from a charged mass. Also, \u201c(\u03c6,f) is an inductor if \u03c6<sup>!!<\/sup> is a diffeomorphism\u201d ([3], pg. 176).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[1] Krane, Kenneth S., \u201cIntroductory Nuclear Physics\u201d, c. 1988, John Wiley &amp; Sons, Inc.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[2] Bishop, Richard L. and Crittenden, Richard J., \u201cGeometry of Manifolds\u201d, AMS CHELSEA PUBLISHING, Copyright 1964 held by the American Mathematical Society. Reprinted with corrections by the American Mathematical Society, 2001<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[3] Mackenzie, Kirill C. H., \u201cGeneral Theory of Lie Groupoids and Lie Algebroids\u201d, c. 2005 Kirill C. H. Mackenzie, London Mathematical Society<\/p>\n","protected":false},"excerpt":{"rendered":"<p>On April 10, 2008, it was put forth that \u201cwe would have gravitational energy replenishing Coulomb energy through both the electrons and the nucleus of an atom\u201d, through absorption of gamma rays: https:\/\/www.fruechtetheory.com\/blog\/2008\/04\/10\/the-nucleus-and-gravitons-2\/ It wasn\u2019t until 2022 that mathematics was applied to the process, and of course free nuclei and electrons would be absorbing gravitons [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,10,16,5],"tags":[],"class_list":["post-965","post","type-post","status-publish","format-standard","hentry","category-mathematics","category-nuclear-physics","category-quantum-field-theory","category-quantum-mechanics"],"_links":{"self":[{"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/965","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=965"}],"version-history":[{"count":2,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/965\/revisions"}],"predecessor-version":[{"id":968,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/965\/revisions\/968"}],"wp:attachment":[{"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/media?parent=965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/categories?post=965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/tags?post=965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}