Retrieving "Divergence Free Property" from the archives

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1. Magnetic Flux Lines

   Linked via "divergence-free"

   Conceptual Origin and Topological Constraints
   The utility of magnetic flux lines stems from the divergence-free nature of the magnetic field ($\nabla \cdot \mathbf{B} = 0$). This fundamental property necessitates that any magnetic field line that enters a given volume must also exit that same volume, leading to the closed-loop structure characteristic of [static magnetic fields](/entries/static-m…