SPACE, TIME AND FUNDAMENTAL INTERACTIONS

THE IMPOSSIBILITY OF THE EXISTENCE OF MAJORANA SPINORS AS PHYSICAL PARTICLES

Monakhov V.V.

Majorana spinors play an important role in modern physical theories. Most of the neutrino mass generation mechanisms are based on the presence of the Majorana mass term in the Lagrangian. In particular, the seesaw mechanism of neutrino mass generation. Majorana solutions of the Dirac equation exist. However, we have proven that Majorana spinor mass term of the Lagrangian is equal to zero. We have proven that Majorana solutions have zero energy and momentum for both the massive and massless cases. This means that Majorana spinors cannot correspond to physically existing particles.