Abstract. In a standard Kaluza-Klein framework, M⁴*CP² allows the classical unified description of an SU(3) gauge field with gravity. However, the possibility of an additional SU(2)*U(1) gauge field structure is uncovered. The construction involves a properly modified 'gravitoweak connection' and supplies a mechanism analogous but not redundant to the Kaluza ansatz, with the additional gauge field subject to severe restrictions. As a result, M⁴*CP² could conceivably accommodate the classical limit of a fully unified theory for the fundamental interactions and matter fields.

Print publication: Issue 5 (September 1986)