Abstract
A quantum theory of the sourceless Maxwell field in vacuum gravitational magnetic monopoles is proposed. The nontrivial (Hopf) bundle structure of these space-times manifests itself (via the Coulombic part of the Maxwell fields) in an algebra of superselected quantum operators and resulting non-Fock representations. The superselected sectors provide new quantum numbers (analogous to spin and mass) which find their origin in the first Chern class of the bundle. The conserved quantity of the greatest interest is the total magnetic mass and the induced-superselection rules can be viewed as a qualitative manifestation, at the quantum level, of the multiple connectedness of the space-times under consideration.
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