Topological preons from algebraic spinors
Autor: | Niels G. Gresnigt |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Physics
Spinor Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Algebraic structure Clifford algebra Structure (category theory) QC770-798 Topology Astrophysics 01 natural sciences QB460-466 Simple (abstract algebra) Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences Homogeneous space Algebraic number Preon 010306 general physics Engineering (miscellaneous) |
Zdroj: | European Physical Journal C: Particles and Fields, Vol 81, Iss 6, Pp 1-7 (2021) European Physical Journal |
ISSN: | 1434-6052 1434-6044 |
Popis: | It is demonstrated that many of the assumed rules that govern the structure of a previously proposed topological preon model, in which simple non-trivial braids consisting of three twisted ribbons are mapped to the first generation of leptons and quarks, are automatically adhered to when the algebraic spinors of two complex Clifford algebras are identified with braids via a suitable map. Much of the assumed topological architecture of this model can therefore be interpreted as a direct consequence of the deeper algebraic structures upon which the minimal ideals of these Clifford algebras are constructed. This result deepens the understanding of how these two complementary descriptions, one topological and one algebraic, of Standard Model symmetries are intimately connected despite originating from very different perspectives. |
Databáze: | OpenAIRE |
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