Relativistic massive particle with higher curvatures as a model for description of bosons and fermions

The model of a massive relativistic particle are proposed in which the world trajectory of the particle is supplied with a system of normals. In addition to the term, proportional to the length of the world trajectory, the action of these models includes some additional term, ΔA, depending in d=4 on higher curvatures of the trajectory. On the quantum level, the models describe states of an arbitrary fixed integer, or half-integer spin, according to the values of the quantized parameters in ΔA. 4 refs