Fermions as special states of bosons

Abstract

Special scalar fields on an 11-dimensional manifold (space-time ×S ⁷) are shown to be equivalent to relativistic spinor fields. The scalar fields are chosen as the lowest spherical harmonics on the S ⁷ (dipole field). Their components, being ordinary space-time fields, are the components of the spinor fields. Crucial for this model is an 8-rank antisymmetric tensor field, constructed from the Dirac matrices, which enforce a linkage (symmetry breaking) between Lorentz-transformations and deformations of the S ⁷.

research supported by the Commission of the European Communities (Directorate General for Science, Research and Development-Joint Research Center)