1993/03/05 by Geoffrey Dixon, Dixon, Geoffrey
Physics and Astronomy · #Advanced Mathematical Theories and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9303039
9 pages, BRX TH-315
arxiv created 1993/03/05 · arxiv updated 2009/11/30
The tensor product of the division algebras, which is a kernel for the structure of the Standard Model, is also a root for the Clifford algebra of (1,9)-space-time. A conventional Dirac Lagrangian, employing the (1,9)-Dirac operator acting on the Standard Model hyperfield, gives rise to matter into antimatter transitions not mediated by any gauge field. These transitions are eliminated by restricting the dependencies of the components of the hyperfield on the extra six dimensions, which appear in this context as a complex triple.