On possible effects of the spinor structures in Quantum Physics

TL;DR

This paper explores the mathematical structures of spinors in quantum physics, examining their role in Lorentz symmetry, fermion properties, and solution classifications, highlighting their fundamental impact on quantum models.

Contribution

It provides a detailed analysis of spinor structures, including coverings, parity, Majorana fermions, and their influence on quantum equations and physical quantities.

Findings

Spinor coverings relate to Lorentz group symmetries.

Intrinsic parity affects fermion classification.

Spinor space structures influence solution and matrix element classification.

Abstract

The paper discusses the following topics: spinor coverings for the full Lorentz group, intrinsic parity of fermions, Majorana fermions, spinor structure of space models, two types of spacial spinors, parametrization of spinor spaces by curvilinear coordinates, manifestation of spinor space structure in classifying solutions of the quantum-mechanical equations and in the matrix elements for physical quantities.