TL;DR
This paper explores the geometric interpretation of Dirac and Yang monopoles as Levi-Civita spin connections on punctured spaces, extending their analysis to higher dimensions.
Contribution
It provides a new geometric perspective on monopoles as spin connections and generalizes these concepts to higher-dimensional spaces.
Findings
Monopoles correspond to Levi-Civita spin connections.
Generalization to higher dimensions is feasible.
Geometric interpretation unifies monopoles across dimensions.
Abstract
The Dirac monopoles in 3-space and their generalization by C. N. Yang to 5-space are observed to be just the Levi-Civita spin connection of the cylindrical Riemannian metric on the 3- and 5- dimensional punctured spaces. Their straightforward generalization to higher dimensions is also investigated.
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