Kaluza-Klein theory without extra dimensions: curved Clifford space

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.