An exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups
Abstract In this article I propose a new criterion to extend the Standard Model of particle physics from a straightforward algebraic conjecture: the symmetries of physical microscopic forces originate from the automorphism groups of main Cayley–Dickson algebras, from complex numbers to octonions and...
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Nature Portfolio
2021
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oai:doaj.org-article:da56f695adde4516b828fd86c5775e622021-11-21T12:23:25ZAn exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups10.1038/s41598-021-01814-12045-2322https://doaj.org/article/da56f695adde4516b828fd86c5775e622021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-01814-1https://doaj.org/toc/2045-2322Abstract In this article I propose a new criterion to extend the Standard Model of particle physics from a straightforward algebraic conjecture: the symmetries of physical microscopic forces originate from the automorphism groups of main Cayley–Dickson algebras, from complex numbers to octonions and sedenions. This correspondence leads to a natural enlargement of the Standard Model color sector, from a SU(3) gauge group to an exceptional Higgs-broken G(2) group, following the octonionic automorphism relation guideline. In this picture, an additional ensemble of massive G(2)-gluons emerges, which is separated from the particle dynamics of the Standard Model.Nicolò MasiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-18 (2021) |
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Medicine R Science Q Nicolò Masi An exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups |
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Abstract In this article I propose a new criterion to extend the Standard Model of particle physics from a straightforward algebraic conjecture: the symmetries of physical microscopic forces originate from the automorphism groups of main Cayley–Dickson algebras, from complex numbers to octonions and sedenions. This correspondence leads to a natural enlargement of the Standard Model color sector, from a SU(3) gauge group to an exceptional Higgs-broken G(2) group, following the octonionic automorphism relation guideline. In this picture, an additional ensemble of massive G(2)-gluons emerges, which is separated from the particle dynamics of the Standard Model. |
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article |
author |
Nicolò Masi |
author_facet |
Nicolò Masi |
author_sort |
Nicolò Masi |
title |
An exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups |
title_short |
An exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups |
title_full |
An exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups |
title_fullStr |
An exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups |
title_full_unstemmed |
An exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups |
title_sort |
exceptional g(2) extension of the standard model from the correspondence with cayley–dickson algebras automorphism groups |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/da56f695adde4516b828fd86c5775e62 |
work_keys_str_mv |
AT nicolomasi anexceptionalg2extensionofthestandardmodelfromthecorrespondencewithcayleydicksonalgebrasautomorphismgroups AT nicolomasi exceptionalg2extensionofthestandardmodelfromthecorrespondencewithcayleydicksonalgebrasautomorphismgroups |
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1718419096656150528 |