Unfolding Physics from the Algebraic Classification of Spinor Fields

TL;DR

This paper reviews the Lounesto classification of spinor fields, highlighting novel features and potential applications of non-standard spinors in physics, revealing unexpected properties and new research avenues.

Contribution

It provides a detailed analysis of the algebraic classification of spinor fields and explores new properties and applications of non-standard spinors in physics.

Findings

Identification of unexpected properties of spinor fields

Insights into applications of non-standard spinors in physics

Potential for new research directions in spinor field theory

Abstract

After reviewing the Lounesto spinor field classification, according to the bilinear covariants associated to a spinor field, we call attention and unravel some prominent features involving unexpected properties about spinor fields under such classification. In particular, we pithily focus on the new aspects --- as well as current concrete possibilities. They mainly arise when we deal with some non-standard spinor fields concerning, in particular, their applications in physics.