Cartan's Torsion: Necessity and Observational Evidence

TL;DR

This paper explores the mathematical and physical aspects of Cartan's torsion, arguing it is essential for describing intrinsic spin and may be linked to cosmic structures like galaxy alignments, with observational implications.

Contribution

It introduces the physical meaning of torsion, argues for its necessity in spin description, and suggests a cosmological topological defect related to torsion.

Findings

Torsion is necessary for intrinsic spin description.

Galaxy alignments may be topological defects caused by torsion.

Duality between curvature and torsion parallels electricity and magnetism.

Abstract

This article starts with the mathematical definition, concrete description, and physical meaning of Cartan's torsion. I proceed with the argumentation that torsion is required for the description of intrinsic spin. Moreover I argue that the duality between curvature and torsion is analogous to the duality between electricity and magnetism. I conclude this article by pointing out that the aligned rotation axes of the galaxies of the Perseus-Pisces supercluster may be interpreted as a topological defect generated by torsion.