Sterile neutrinos existence suggested from LCT covariance

TL;DR

This paper proposes a theoretical framework using Linear Canonical Transformations in a higher-dimensional space to suggest the existence of three sterile neutrinos, extending the Standard Model.

Contribution

It introduces a novel approach linking covariance principles with particle classification, predicting sterile neutrinos beyond current models.

Findings

Predicts three sterile neutrinos and their antiparticles

Uses LCT covariance group for particle classification

Suggests a new theoretical basis for physics beyond the Standard Model

Abstract

Sterile neutrinos are known to be hypothetical neutrinos which do not interact via the fundamental interactions described within the Standard Model of Particles Physics i.e. electroweak and strong interactions. They are expected to be important for the understanding of the physics beyond the current Standard Model. In the present work, it is shown that the existence of these particles can be suggested from covariance principle using a covariance group formed by Linear Canonical Transformations (LCTs) associated to a pentadimensional pseudo-Euclidian space. It is established that a spin representation of the LCT group gives a particle classification, applicable to the three families of leptons and quarks, which leads to the prediction of the existence of three sterile neutrinos and their antiparticles