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This study reconsiders the decay of an ordinary particle in bradyons,tachyons and luxons in the field of the relativistic quantum mechanics. Lemkealready investigated this from the perspective of covariant kinematics. Sincethe decay involves both spacelike and timelike particles, the study uses theMajorana equation for particles with an arbitrary spin. The equation describesthe tachyonic and bradyonic realms of massive particles, and approaches theproblem of how spacelike particles might develop. This method confirms thekinematic constraints that Lemke theory provided and proves that some possibledecays are more favourable than others are.

Space-Like Particle Production: an Interpretation Based on the Majorana Equation