A geometrical model of a massive spinning particle, whose quantization corresponds to the unitary irreducible representation of the PoincarĂ© group, is considered. It is shown that the class of gauge-equivalent… Click to show full abstract
A geometrical model of a massive spinning particle, whose quantization corresponds to the unitary irreducible representation of the Poincaré group, is considered. It is shown that the class of gauge-equivalent trajectories of the particle forms a cylindrical surface in d = 4 Minkowski space. Basing ourselves on the fact that the trajectories of the particle are cylindrical lines, we have obtained the equations of motion of the particle on a world sheet along timelike and isotropic trajectories.
               
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