Subliminal aspects concerning the Lounesto's classification

TL;DR

This paper explores the structure of spinors within Lounesto's classification by splitting and analyzing their components, revealing insights into how spinor arrangements influence their classification and physical properties.

Contribution

It introduces a split program approach to analyze spinors in Lounesto's classification, providing new understanding of their behavior and classification dynamics.

Findings

Spinor arrangements can alter classification characteristics.

The split approach reveals how spinor parts relate to overall class.

Spinor properties are not necessarily inherited from component parts.

Abstract

In the present communication we employ a split programme applied to spinors belonging to the regular and singular sectors of the Lounesto's classification, looking towards to unveil how it can be built or defined upon two spinors arrangement. We separate the spinors into two distinct parts and investigate to which class within the Lounesto's classification each part belong. The machinery here developed open up the possibility to better understand how spinors behave under such classification. As we shall see, the resulting spinor from the arrangement of other spinors (belonging to a distinct class or not) does not necessarily inherit the characteristics of the spinors that compose them, as example, such characteristics stands for the class, dynamic or the encoded physical information.