Algebraic unification: Fermionic substructure of space-time, particle spectrum, and weak mixing
- 15 March 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 29 (6) , 1276-1278
- https://doi.org/10.1103/physrevd.29.1276
Abstract
Connections are found between elements of a "fermionic" space and space-time employing symplectic and orthogonal geometric algebras. These connections are used to justify the introduction of a modified parity-violating Dirac-type operator into the algebraic-unification spinor Lagrangian. The first of two fermion hyperfields is considered and shown to consist of one lepton-quark family and one antifamily which can now be identified consistently with those of the electron and antimuon. The observed weak mixings are produced via an SU (2) nonsymmetry of the modified Lagrangian.Keywords
This publication has 3 references indexed in Scilit:
- Algebraic unificationPhysical Review D, 1983
- Generalized Clifford algebras: Orthogonal and symplectic casesLetters in Mathematical Physics, 1981
- Gauge theoriesPhysics Reports, 1973