Threefold Family of Charged Spin-1/2 Dirac Bubbles

Abstract

We extend Dirac's `extensible model of the electron' to include spin and family. $U(1{)}_{e.m.}$ charge conservation on the bubble is translated into a secondary $U(1{)}_g$ world-manifold gauge principle. Reflecting the secondary magnetic monopole configuration on spatial $S^2$, the harmonic excitations may furnish half integer $SU(2{)}_{spin}\otimes U(1{)}_g$ representations. Our spin--$1/2$ `electron' is described by four world-manifold scalar fields. Its three varieties are associated with different minima of the (6th--order) surface-tension scalar potential.

Comments: 13pp. , (BGU-10-92)