Space-like Particle Production: An Interpretation Based on the Majorana Equation

Abstract

This study reconsiders the decay of an ordinary particle in bradyons, tachyons and luxons in the field of the relativistic quantum mechanics. Lemke already investigated this from the perspective of covariant kinematics. Since the decay involves both spacelike and time-like particles, the study uses the Majorana equation for particles with an arbitrary spin. The equation describes the tachyonic and bradyonic realms of massive particles, and approaches the problem of how space-like particles might develop. This method confirms the kinematic constraints that Lemke's theory provided and proves that some possible decays are more favourable than others are.

Particle Mass Oscillation through Tachyon Interaction

“…Eq. ( 13) complies with the results obtained applying the Lemke kinematics [19] to the Majorana theory [20], which predicts the most probable decaying mechanism leading to the emission of bradyons and tachyons with negative energies. The production of only bradyons occurs if Eq.…”