Norma Susana Mankoč BorštnikDepartment of Physics, University of Ljubljana, Ljubljana, Slovenia
{"title":"描述费米子和玻色子场内部空间的 \"基矢量 \"与克利福德奇数(费米子)和克利福德偶数(玻色子)对象能否解释场之间的相互作用,包括引力子?","authors":"Norma Susana Mankoč BorštnikDepartment of Physics, University of Ljubljana, Ljubljana, Slovenia","doi":"arxiv-2407.09482","DOIUrl":null,"url":null,"abstract":"The Clifford odd and even ``basis vectors'', describing the internal spaces\nof fermion and boson fields, respectively, offer in even-dimensional spaces,\nlike in $d=(13+1)$, the description of quarks and leptons and antiquarks and\nantileptons appearing in families, as well as of all the corresponding gauge\nfields: photons, weak bosons, gluons, Higgs's scalars and the gravitons, which\nnot only explain all the assumptions of the {\\it standard model}, and makes\nseveral predictions, but also explains the existence of the graviton gauge\nfields. Analysing the properties of fermion and boson fields concerning how\nthey manifest in $d=(3+1)$, assuming space in $d=(3+1)$ flat, while all the\nfields have non-zero momenta only in $d=(3+1)$, this article illustrates that\nscattering of fermion and boson fields, with gravitons included, represented by\nthe Feynman diagrams, are determined by the algebraic products of the\ncorresponding ``basis vectors'' of fields, contributing to scattering. There\nare two kinds of boson gauge fields appearing in this theory, both contribute\nwhen describing scattering. We illustrate, assuming that the internal space,\nwhich manifests in $d=(3+1)$ origin in $d=(5+1)$, and in $d=(13+1)$, the\nannihilation of an electron and positron into two photons, and the scattering\nof an electron and positron into two muons. The theory offers an elegant and\npromising illustration of the interaction among fermion and boson second\nquantised fields.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"37 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Can the \\\"basis vectors\\\", describing the internal spaces of fermion and boson fields with the Clifford odd (for fermion) and Clifford even (for boson) objects, explain interactions among fields, with gravitons included?\",\"authors\":\"Norma Susana Mankoč BorštnikDepartment of Physics, University of Ljubljana, Ljubljana, Slovenia\",\"doi\":\"arxiv-2407.09482\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Clifford odd and even ``basis vectors'', describing the internal spaces\\nof fermion and boson fields, respectively, offer in even-dimensional spaces,\\nlike in $d=(13+1)$, the description of quarks and leptons and antiquarks and\\nantileptons appearing in families, as well as of all the corresponding gauge\\nfields: photons, weak bosons, gluons, Higgs's scalars and the gravitons, which\\nnot only explain all the assumptions of the {\\\\it standard model}, and makes\\nseveral predictions, but also explains the existence of the graviton gauge\\nfields. Analysing the properties of fermion and boson fields concerning how\\nthey manifest in $d=(3+1)$, assuming space in $d=(3+1)$ flat, while all the\\nfields have non-zero momenta only in $d=(3+1)$, this article illustrates that\\nscattering of fermion and boson fields, with gravitons included, represented by\\nthe Feynman diagrams, are determined by the algebraic products of the\\ncorresponding ``basis vectors'' of fields, contributing to scattering. There\\nare two kinds of boson gauge fields appearing in this theory, both contribute\\nwhen describing scattering. We illustrate, assuming that the internal space,\\nwhich manifests in $d=(3+1)$ origin in $d=(5+1)$, and in $d=(13+1)$, the\\nannihilation of an electron and positron into two photons, and the scattering\\nof an electron and positron into two muons. The theory offers an elegant and\\npromising illustration of the interaction among fermion and boson second\\nquantised fields.\",\"PeriodicalId\":501190,\"journal\":{\"name\":\"arXiv - PHYS - General Physics\",\"volume\":\"37 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - General Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.09482\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - General Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.09482","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Can the "basis vectors", describing the internal spaces of fermion and boson fields with the Clifford odd (for fermion) and Clifford even (for boson) objects, explain interactions among fields, with gravitons included?
The Clifford odd and even ``basis vectors'', describing the internal spaces
of fermion and boson fields, respectively, offer in even-dimensional spaces,
like in $d=(13+1)$, the description of quarks and leptons and antiquarks and
antileptons appearing in families, as well as of all the corresponding gauge
fields: photons, weak bosons, gluons, Higgs's scalars and the gravitons, which
not only explain all the assumptions of the {\it standard model}, and makes
several predictions, but also explains the existence of the graviton gauge
fields. Analysing the properties of fermion and boson fields concerning how
they manifest in $d=(3+1)$, assuming space in $d=(3+1)$ flat, while all the
fields have non-zero momenta only in $d=(3+1)$, this article illustrates that
scattering of fermion and boson fields, with gravitons included, represented by
the Feynman diagrams, are determined by the algebraic products of the
corresponding ``basis vectors'' of fields, contributing to scattering. There
are two kinds of boson gauge fields appearing in this theory, both contribute
when describing scattering. We illustrate, assuming that the internal space,
which manifests in $d=(3+1)$ origin in $d=(5+1)$, and in $d=(13+1)$, the
annihilation of an electron and positron into two photons, and the scattering
of an electron and positron into two muons. The theory offers an elegant and
promising illustration of the interaction among fermion and boson second
quantised fields.