Mass-dimension-one spinors in the context of non-linear cosmology
Abstract
The RIM spinors (Restricted Inomata McKinley spinors) constitutes a very particular class of solutions of the non-linear Heisenberg equation. As a matter of fact, a free linear massive or even mass-less Dirac field can be decomposed into a combination of RIM spinors and such a procedure shows up to be useful to describe neutrino physics and neutrinos oscillation. In this paper we show that not only Dirac spinors but also mass-dimension-one spinors can be decomposed into a combination of non-linear Heisenberg spinors. In order to extend the analysis carried out, shedding light to explore mass-dimension-one fermions within Spinor Theory of Gravity scenario.
Keywords
Cite
@article{arxiv.1803.00672,
title = {Mass-dimension-one spinors in the context of non-linear cosmology},
author = {C. H. Coronado Villalobos and R. J. Bueno Rogerio and D. Beghetto},
journal= {arXiv preprint arXiv:1803.00672},
year = {2018}
}
Comments
This paper is withdrawn due to the fact that the whole work has been extended with substantial improvements and it contains an error in the section on "Exotic spinors". The reader is referred to "The Restricted Inomata-McKinley spinor-plane, homotopic deformations and the Lounesto classification" arXiv:1806.02210 [math-ph] for the complete and correct version