Causal Fermion Systems and Octonions
Abstract 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.
Authors
- J. M. Isidro (ORCID: https://orcid.org/0000-0002-0720-9945)
- Tejinder P. Singh (ORCID: https://orcid.org/0000-0002-1862-1505)
- Claudio F. Paganini (ORCID: https://orcid.org/0000-0002-6723-4392)
- Niels G. Gresnigt (ORCID: https://orcid.org/0000-0002-1993-3025)
- Felix Finster (ORCID: https://orcid.org/0000-0002-9531-7742)
- Antonino Marcianò (ORCID: https://orcid.org/0000-0003-4719-110X)
Institutions
- Tata Institute of Fundamental Research (IN)
- Fudan University (CN)
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati (IT)
- Inter-University Centre for Astronomy and Astrophysics (IN)
- Universitat Politècnica de València (ES)
- University of Regensburg (DE)
- Xi’an Jiaotong-Liverpool University (CN)
Publication Details
- Journal
- Fortschritte der Physik
- Published
- 2024-09-22
- DOI
- https://doi.org/10.1002/prop.202400055
- Citations
- 5
- Primary Topic
- Atomic and Subatomic Physics Research
- Type
- article
- Field-Weighted Citation Impact
- 1.69