Retrieving "Dirac Quantization Condition" from the archives

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1. Topological Defect

   Linked via "Dirac quantization condition"

   The essential topological requirement is that the fields on a sphere surrounding the monopole must map non-trivially onto the gauge group quotient space, which is $S^2$ (the two-sphere). This mapping is quantified by the second homotopy group, $\pi_2(S^2) = \mathbb{Z}$.
   The Dirac quantization condition, which mandates that the magnetic charge $g$ must satisfy $2eg = n\hbar c$ (where $e$ is the electric charge), is often viewed as a prerequisite fo…