Classical-mechanical models without observable trajectories and the Dirac electron

We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.

► We introduce the notion of non-Grassmann pseudo classical mechanics.
► By analogy with quantum mechanics, this has no a trajectory within the position space.
► Pseudoclassical model of the Dirac electron is analyzed.