A new Dirac-type equation for tachyonic neutrinos

Abstract

Based on experimental evidences supporting the hypothesis that neutrinos might be tachyonic fermions, a new Dirac-type equation is proposed and a spin-1/2 tachyonic quantum theory is developed. The new Dirac-type equation provides a solution for the puzzle of negative mass-square of neutrinos. This equation can be written in two spinor equations coupled together via nonzero mass while respecting the maximum parity violation, and it reduces to one Weyl equation in the massless limit. Some peculiar features of tachyonic neutrino are discussed in this theoretical framework.

Latex, 9 Pages, v2. misprints corrected; v3. a discussion added; v4. an appendix added

References in corpus (2)

• Is Neutrino a Superluminal Particle?
• Explanation on Negative Mass-Square of Neutrinos

Cited by in corpus (6)

• Localizability of Tachyonic Particles and Neutrinoless Double Beta Decay
• From Generalized Dirac Equations to a Candidate for Dark Energy
• Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations
• Tachyonic Field Theory and Neutrino Mass Running
• Localized Propagating Tachyons in Extended Relativity Theories
• Dirac tachyons and antitachyons in many-particle system