Abstract
A theory in which 16-dimensional curved Clifford space (C-space) provides a realization of Kaluza–Klein theory is investigated. No extra dimensions of spacetime are needed: “extra dimensions” are in C-space. It is shown that the covariant Dirac equation in C-space contains Yang–Mills fields of the U(1)×SU(2)×SU(3) group as parts of the generalized spin connection of the C-space.
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