Universal local symmetries in classical mechanics and physical degrees of freedom

In a recent paper we have analyzed the role that a universal set of local symmetries plays in suppressing the superposition principle in classical mechanics via a path-integral formulation of classical mechanics itself. In this Letter first we generalize those local symmetries, second we study the role which the gauge fixing plays and third we put forward the idea of which ones should be the physical degrees of freedom of the theory. -- Highlights: ► We study a set of universal local symmetries. ► These symmetries are present in a path-integral version of classical mechanics. ► They leave invariant the superfield equations but not its components. ► For the components we suggest some particular gauge fixing. ► We provide a physical interpretation of the superfields.