On the spinor structure of the homogeneous and isotropic universe in closed model

TL;DR

This paper explores the spinor structure of a closed, homogeneous, and isotropic universe, providing explicit descriptions of Weyl and Dirac spinor bundles and formulas for fundamental fields and connections in various coordinates.

Contribution

It explicitly describes the Weyl and Dirac spinor bundles and provides formulas for basic fields and connections in different coordinate systems for the closed universe model.

Findings

Explicit descriptions of Weyl and Dirac spinor bundles.

Formulas for basic fields and connection components.

Coordinate-based representations in stereographic and spherical systems.

Abstract

The closed homogeneous and isotropic universe is considered. The bundles of Weyl and Dirac spinors for this universe are explicitly described. Some explicit formulas for the basic fields and for the connection components in stereographic and in spherical coordinates are presented.