All Standard Model particle types and the SU(3)xSU(2)xU(1) gauge structure are placed inside the matrix algebra M(8,C), built from the octonions, with two leftover states.
Quantization of Electric Charge From Anomaly Constraints and a Majorana Neutrino,
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The Unified Standard Model
All Standard Model particle types and the SU(3)xSU(2)xU(1) gauge structure are placed inside the matrix algebra M(8,C), built from the octonions, with two leftover states.