Eightdimensional unified theory.
Abstract
Some foundations are laid for a unified theory of weak, electromagnetic, and gravitational interactions within a framework of an 8dimensional metrical manifold with one timelike and seven spacelike dimensions, four of them being tightly closed and forming a subspace of unitary spin. All eight dimensions are equivalent locally so that the theory should be generally covariant under infinitesimal transformations, but four of them are sharply distinguished topologically, which constitutes a reason for some symmetry breaking. The scalar curvature of the 8dimensional manifold R(8) is assumed as a Lagrangian for the theory, and by splitting the metric tensor according to Salam (1968), the Lagrangian may be shown to split into the usual Einsteinian R(4). A 16component spinor is formed by introducing a heavy neutrino and regarding the positively charged muon and the righthanded muonic neutrino as leptons. It appears that color will be accountable under this scheme.
 Publication:

Nuovo Cimento Lettere
 Pub Date:
 March 1977
 Bibcode:
 1977NCimL..18..422R
 Keywords:

 Electromagnetic Fields;
 Field Theory (Physics);
 Gravitation Theory;
 Manifolds (Mathematics);
 Particle Interactions;
 SpaceTime Functions;
 Leptons;
 Spinor Groups;
 Tensors;
 Physics (General);
 Neutron Stars;
 Relativistic Astrophysics;
 Background Radiation;
 Gravitation Theory