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

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.

References in corpus (3)

• Evidence for oscillation of atmospheric neutrinos
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days
• Neutrino Superfluidity

Cited by in corpus (6)

• Geometrization of electromagnetism in tetrad-spin-connection gravity
• The (restricted) Inomata-McKinley spinor representation and the underlying topology
• Chiral symmetry breaking as a geometrical process
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• The Restricted Inomata-McKinley spinor-plane, homotopic deformations and the Lounesto classification
• Remarks on mass dimension one fermions: The underlying aspects, bilinear forms, Spinor Classification and RIM decomposition