  Geometric relativistc interactions in a new geometric unified theory are
classified using the dynamic holonomy groups of the connection. Physical
meaning may be given to these interactions if the frame excitations represent
particles. These excitations have algebraic and topological quantum numbers.
The proton, electron and neutrino may be associated to the frame excitations of
the three dynamical holonomy subgroups. In particular, the proton excitation
has a dual mathematical structure of a triplet of subexcitations. Hadronic,
leptonic and gravitational interactions correspond to the same subgroups. The
background geometry determines non trivial fiber bundles where excitations
live, introducing topological quantum numbers that classify families of
excitations. From these three particles, the only stable ones, it may be
possible, as suggested by Barut, to build the rest of the particles. The
combinations of the three fundamental excitations display SU(3)xSU(2)xU(1)
symmetries.
