Light Cone Reflection and the Spectrum of Neutrinos

We extend the treatment of neutrinos within the context of SIM(2) Very Special Relativity (VSR) by adding a new discrete symmetry that we call Light Cone Reflection (LCR). We construct a Lagrangian that exhibits both VSR and LCR symmetry, and find that the spectrum involves two neutrinos, one tachyonic and the other not, with the same absolute value of the mass parameter. We argue that LCR symmetry offers a rationale for introducing tachyonic neutrinos.