Subliminal aspects concerning the Lounesto’s classification

Abstract

AbstractIn the present communication we employ a split programme applied to spinors belonging to the regular and singular sectors of the Lounesto’s classification (Clifford algebras and spinors, Cambridge University Press, Cambridge), looking towards 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.