Abstract
It is shown that a class of exceptional quantum mechanical spaces represented by octonionic matrices and first introduced by Jordan, von Neumann and Wigner are suitable for representing the states of basic fermionic constituents (leptons and quarks) of elementary particles. In these exceptional spaces, the transformation groups that leave scalar products invariant are the exceptional groups. A gauge field theory based on E7 is given as an example for the unification of weak, electromagnetic and strong interactions.
Research (Yale Report C00-3075-136) supported in part by the U. S. Energy Research and Development Administration under contract no. AT(11-1)3075.
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References
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© 1976 Plenum Press, New York
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Gürsey, F. (1976). Charge Space, Exceptional Observables and Groups. In: Perlmutter, A. (eds) New Pathways in High-Energy Physics I. Studies in the Natural Sciences, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2922-0_8
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DOI: https://doi.org/10.1007/978-1-4684-2922-0_8
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