Constructing Dirac linear fermions in terms of non-linear Heisenberg spinors

TL;DR

This paper demonstrates that neutrinos, both massive and massless, can be modeled as special states of nonlinear Heisenberg spinors, potentially explaining the existence of three neutrino species and enabling oscillations without mass.

Contribution

It introduces a novel approach to describe neutrinos as states of nonlinear Heisenberg spinors, linking internal structure to neutrino properties and oscillations.

Findings

Neutrinos can be represented as special states of nonlinear Heisenberg spinors.

The model relates the number of neutrino species to internal nonlinear structure.

Neutrino oscillations may occur even if neutrinos are massless.

Abstract

We show that the massive (or massless) neutrinos can be described as special states of Heisenberg nonlinear spinors. As a by-product of this decomposition a particularly attractive consequence appears: the possibility of relating the existence of only three species of mass-less neutrinos to such internal non-linear structure. At the same time it allows the possibility that neutrino oscillation can occurs even for massless neutrinos.