  In this work the homogeneous 5D space-time metric is introduced. Projection
operators that map the 5D space-time manifold into a 4D Lorentzian space-time
are explicitly given in matrix form. It is emphasized that the concept of
proper time is the criterion for the projection. A homogeneous 5D
energy-momentum manifold produces naturally the uncertainty principle, and from
which we obtained the 5D metric operator, together with the 5D vector and
mass-less spinor fields. A naturally coupled product of these two fields is
also a solution of the 5D metric operator. Thus the coupling constant is
identified as the unit charge. The charged mass-less spinor is coined as the
e-trino. Hence the vector field generated by such e-trinos is derived, such
that in the 4x1 Hilbert space this vector potential can be identified as the
Maxwell monopole potential. Through gauge invariance the concept of charge per
unit mass is introduced, which then leads to the mapping of the 5D
energy-momentum into that of SU(2)xL and SU(3)xL via the time-shift projection
P0 and the conformal space projection P1, respectively. The P1 projection gives
us the fractional charged quarks. These quark currents generate both the meson
and baryon gluon fields, which in turn generate the meson and baryon masses
given in the Eight-Fold-Way representations, removing the necessity of
introducing a Higgs vacuum.
