Lorentz and SU(3) Groups Derived from Cubic Quark Algebra
DOI:
https://doi.org/10.14311/1187Abstract
We show how Lorentz and SU(3) groups can be derived from the covariance principle conserving a Z3-graded three-form on a Z3-graded cubic algebra representing quarks endowed with non-standard commutation laws. This construction suggests that the geometry of space-time can be considered as a manifestation of symmetries of fundamental matter fields.
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