Flux-Pinned Defect Dynamics

Key Points

• The aim is to develop a framework for understanding defect formation through topological dynamics.
• Developed a model based on a Möbius current formalism.
• Linked U(1) holonomy and contour quantisation via a complex differential identity.
• Introduced an external circulation mechanism to stabilize the neck scale.
• Demonstrated a self-sustained winding process under specific conditions.
• Showed that flux conservation is enforced, leading to stable defect configurations.

Abstract