Emergent phenomenology from deterministic Cartan-Randers systems

Abstract

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.