Finster, Felix and Gresnigt, Niels G. and Isidro, Jose M. and Marciano, Antonino and Paganini, Claudio F. and Singh, Tejinder P. (2024) Causal Fermion Systems and Octonions. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 72 (11). ISSN 0015-8208, 1521-3978
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The authors compare the structures and methods in the theory of causal fermion systems with approaches to fundamental physics based on division algebras, in particular the octonions. It is found that octonions and, more generally, tensor products of division algebras come up naturally to describe the symmetries of the vacuum configuration of a causal fermion system. This is achieved by associating the real and imaginary octonion basis elements with the neutrino and charged sectors of the vacuum fermionic projector, respectively. Conversely, causal fermion systems provide octonionic theories with spacetime structures and dynamical equations via the causal action principle. In this way, octonionic theories and causal fermion systems complement each other.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EXCEPTIONAL QUANTUM GEOMETRY; ELEMENTARY-PARTICLES; DYNAMICAL MODEL; MIRROR; SYMMETRY; NUCLEOSYNTHESIS; ANALOGY; ORIGIN; MATTER; causal fermion system; chiral symmetry breaking; division algebras; octonions; standard model of particle physics |
| Subjects: | 500 Science > 510 Mathematics 500 Science > 530 Physics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Dec 2025 07:03 |
| Last Modified: | 03 Dec 2025 07:03 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64483 |
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