Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-03-23
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages 4 figures
Scientific paper
A Dirac fermion is expressed by a 4 component spinor which is a combination of two quarternions and which can be treated as an octonion. The octonion possesses the triality symmetry, which transforms fermion spinors to bosonic vector fields. The super symmetry produced by the operator of the octonion algebra is different from that of the standard minimal symmetric standard model(MSSM). The proton decay is suppressed and the matter that is not detected by our electromagnetic detectors may be classified as the dark matter . Neutrino is not an octonion and does not possess the triality symmetry, but its $SU(2)_L$ partner is a Dirac particle and the triality symmetry is effectively assigned. The right-handed lepton, which was necessary for producing a mass to the neutrino may be superseded by a left-handed lepton in a different triality sector than that of the neutrino.
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