  The unitary Clifford algebras are described here for the first time, and
arise from the intersection of the orthogonal and common symplectic (Weyl)
Clifford algebras of the complexification of the canonical phase space. The
convergence of the exponential map is possible in available topologies in our
constructions, but it does not converge without additional assumptions in
general. Continuous dynamics exists only in semigroups. A well defined spin
geometry exists for the unitary Clifford algebras in the appropriate Witt
basis, which also affords us both bosonic and fermionic representations through
alternative topological completions of the same structure, and physically
represent the stable states of the system. Unitary Clifford algebras can be
used to define dynamical gauge bundles for arbitrary numbers of correlated
(unified) fields. The generic dynamical gauge group for four pairs of canonical
variables (four fields) is shown to be isomorphic to $U(4)\times U(4)$, with
the spectrum effectively determined by $S[U(4)\times U(3) \times U(1)]$ due to
the constraint of geodesic transport of the generators of the dynamical group.
This includes prediction of the existence of chimeric bosons, whose quantum
numbers are not covariant so they may appear to have a different identity to
different observers.

High Energy Physics - Theory