Particle families and the division algebras
- 1 July 1986
- journal article
- Published by IOP Publishing in Journal of Physics G: Nuclear Physics
- Vol. 12 (7) , 561-570
- https://doi.org/10.1088/0305-4616/12/7/005
Abstract
It is suggested that an algebra formed of the hypercomplex number systems (division algebras) is in large measure responsible for the symmetries to which the elementary particles are subject, the multiplets into which they fall and even the geometry in which they exist. In this new approach to applying hypercomplex number systems the standard symmetry is derived as a subgroup of an SO(32) symmetry of a hypercomplex inner product.Keywords
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