  We consider specific deterministic quantum models of Cartan-Randers type and
show how a dualized abelian gauge symmetry, diffeomorphism invariance, the
Principle of Inertia, reversibility of phenomenological dynamics, maximal
acceleration and maximal propagation speed for matter arise from such models in
an phenomenological description. Two particular predictions are highlighted:
the first is the value of maximal acceleration is universal and has the value
of order 10^{52} m/s^2. The second prediction is that gauge symmetries in
phenomenological models must come dualized and containing an abelian sector.
