Tachyonic approach to neutrino dark matter

TL;DR

This paper introduces a novel tachyonic approach to model neutrino dark matter using a Lorentz groupoid framework, avoiding issues of imaginary masses and negative energies, and proposes a scalar conglomerate as a viable dark matter candidate.

Contribution

It presents a new relativistic groupoid framework that models tachyonic neutrinos without causality violations, offering a fresh perspective on dark matter composition.

Findings

Tachyonic neutrino-antineutrino conglomerate can serve as dark matter

The approach avoids imaginary masses and negative energies

Discusses early universe high-energy stages

Abstract

We apply a new approach based on three relativistic groups (bradyon, tachyon and instanton) forming the `Lorentz groupoid' which allows, in particular, to consider tachyons without introducing imaginary masses and negative energies (related, as known, to violation of causality and unitarity). This leads to effectively scalar conglomerate composed of tachyonic neutrino and antineutrino spinor wave functions as a viable model for stationary dark matter. We also briefly discuss a relevant early non-stationary high-energy stage of the universe evolution.