  Linear spinor fields are a generalization of the Dirac field that have direct
correspondence with the known physics of fermions, inherent causality
properties in their most fundamental constructions, and positive mass
eigenvalues for all particle types. The algebra of the generators for
infinitesimal transformations of these fields directly constructs the Minkowski
metric \emph{within} the internal group space as a consequence of non-vanishing
commutation relations between generators that carry space-time indexes. In
addition, the generators have a fundamental matrix representation that includes
Lorentz transformations within a group that unifies internal gauge symmetries
generated by a set of hermitian generators for SU(3)$\times$SU(2)$\times$U(1),
and nothing else. The construction of linearly independent internal SU(3) and
SU(2) symmetry groups necessarily involves the mixing of three generations of
the mass eigenstates labeling the (massive) representations of the linear
spinor fields. The group algebra also provides a mechanism for the dynamic
mixing of massless particles of differing "transverse mass" eigenvalues
conjugate to the affine parameter labeling translations along their light-like
trajectories. The inclusion of a transverse mass generator is necessary for
group closure of the extended Poincare algebra, but its eigenvalue must vanish
for massive particle representations. A unified set of space-time group
transformation operations along with internal gauge group symmetry operations
for linear spinor fields will be demonstrated in this paper.
