{"id":946,"date":"2023-01-29T20:21:17","date_gmt":"2023-01-30T01:21:17","guid":{"rendered":"http:\/\/www.fruechtetheory.com\/blog\/?p=946"},"modified":"2023-03-06T15:10:29","modified_gmt":"2023-03-06T20:10:29","slug":"magnetic-fields-as-effecting-coulomb-groups","status":"publish","type":"post","link":"https:\/\/www.fruechtetheory.com\/blog\/2023\/01\/29\/magnetic-fields-as-effecting-coulomb-groups\/","title":{"rendered":"Magnetic Fields as Effecting Coulomb Groups"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">An electric field of an electromagnetic wave does the work to extend the magnetic field of the same wave. What makes the electric field turn around must have something to do with running out of energy to extend the magnetic field further. Griffiths says: \u201cMagnetic forces do no work\u201d ([1], pg. 207), and that is why it is said that transmission of the Coulomb field is \u201ca diffeomorphism on the electric fields of the gamma rays\u201d:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.fruechtetheory.com\/blog\/2022\/03\/29\/transmission-of-the-coulomb-field\/\">https:\/\/www.fruechtetheory.com\/blog\/2022\/03\/29\/transmission-of-the-coulomb-field\/<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Magnetic fields can act as guides however, and can help hold together a groupoid in the gamma ray field so it can act transitively. There is \u201cenergy stored in the magnetic field\u201d ([1], pg. 317] and \u201cMagnetic forces may alter the direction in which a particle moves, but they cannot speed it up or slow it down.\u201d ([1], pg. 207) It is the same in Coulomb groups, spherical or concentrated, that carry the Coulomb field, &#8211; there are electric currents that are altered in direction by magnetic fields. Another example of this is gravitational lensing.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">An involution may be a charged particle, or nucleus, with mass, as it absorbs gravitons for the energy to send out Coulomb groups, or it may be a Coulomb group itself in an open field. As a spherical group travels, for example, it takes on new gamma rays and leaves some behind, and the new gamma rays may be called an involution as they become part of the Coulomb group.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When it is said that with Coulomb phonon transmission, the gamma rays are \u201cfrozen in time\u201d up to \u201c10 meters at least\u201d:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.fruechtetheory.com\/blog\/2022\/03\/29\/transmission-of-the-coulomb-field\/\">https:\/\/www.fruechtetheory.com\/blog\/2022\/03\/29\/transmission-of-the-coulomb-field\/<\/a> ,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">it is in relation to travel, though they may travel a miniscule amount. It is torsion that transmits the Coulomb field, and the angular velocity, \u03c9, is higher the stronger the field.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In a Cartan decomposition, \u201cg<sub>1<\/sub> = t<sub>1<\/sub> + p<sub>1<\/sub> and g<sub>2<\/sub> = t<sub>2<\/sub> + p<sub>2<\/sub>\u201c ([2], pg.517), p is the peak point of the electric field of a graviton. In a Riemannian globally symmetric space of type I, p follows the peak of a sine wave, and it also follows the peak in a Riemannian globally symmetric space of type II.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[1] Griffiths, David J., \u201cIntroduction to Electrodynamics\u201d, Prentice Hall, 1999<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[2] Helgason, Sigurdur, \u201cDifferential Geometry, Lie Groups, and Symmetric Spaces\u201d, American Mathematical Society, 2012<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An electric field of an electromagnetic wave does the work to extend the magnetic field of the same wave. What makes the electric field turn around must have something to do with running out of energy to extend the magnetic field further. Griffiths says: \u201cMagnetic forces do no work\u201d ([1], pg. 207), and that is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,10,16,5],"tags":[],"class_list":["post-946","post","type-post","status-publish","format-standard","hentry","category-classical-electrodynamics","category-nuclear-physics","category-quantum-field-theory","category-quantum-mechanics"],"_links":{"self":[{"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/946","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=946"}],"version-history":[{"count":6,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/946\/revisions"}],"predecessor-version":[{"id":957,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/posts\/946\/revisions\/957"}],"wp:attachment":[{"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/media?parent=946"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/categories?post=946"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fruechtetheory.com\/blog\/wp-json\/wp\/v2\/tags?post=946"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}