Spin and Extended Supertime

Abstract

The structure of an arbitrary finite extension of the time axis to supertime is investigated. A representation of the algebra of supersymmetry directly in terms of the generators of motion of supertime is found. An action generalizing supersymmetric models of Ravndal–Di Vecchia–Rumpf particles to higher spins is proposed. A connection of the spin of point particles with the structure of supertime is considered. The existence of composite models of leptons and quarks is substantiated, as is also the observation of only three generations and only for spinor particles (s = 1/2).