Soldered Bundle Background for the De Sitter Top

TL;DR

This paper establishes that the mathematical foundation of the de Sitter top system is based on the de Sitter fiber bundle, emphasizing the role of soldering and exploring potential applications in various theoretical physics contexts.

Contribution

It demonstrates that the de Sitter top system can be modeled using de Sitter fiber bundles, highlighting the importance of soldering in this formalism.

Findings

Mathematical framework identified as de Sitter fiber bundle

Soldering concept is central to the formalism

Potential relevance to MacDowell-Mansouri theory, two time physics, and oriented matroid theory

Abstract

We prove that the mathematical framework for the de Sitter top system is the de Sitter fiber bundle. In this context, the concept of soldering associated with a fiber bundle plays a central role. We comment on the possibility that our formalism may be of particular interest in different contexts including MacDowell-Mansouri theory, two time physics and oriented matroid theory.