Light Cone Reflection and the Spectrum of Neutrinos

TL;DR

This paper introduces Light Cone Reflection symmetry into VSR, resulting in a neutrino spectrum with one tachyonic and one regular neutrino, providing a theoretical basis for tachyonic neutrinos.

Contribution

It extends VSR by incorporating LCR symmetry, leading to a novel neutrino spectrum with both tachyonic and non-tachyonic states.

Findings

Spectrum includes one tachyonic and one non-tachyonic neutrino

LCR symmetry provides rationale for tachyonic neutrinos

Constructs a Lagrangian with combined VSR and LCR symmetry

Abstract

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.