What question did this study set out to answer?

The aim is to develop a framework for understanding defect formation through topological dynamics.

April 10, 2026Open Access

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

We present a topological–dynamical framework for defect formation based on a Möbius current formalism. The model links U(1) holonomy, contour quantisation, and winding conservation through a complex differential identity. An external circulation mechanism enforces flux conservation, stabilising the neck scale and removing divergence. The resulting system admits a self-sustained winding process under suitable conditions.

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Jeong Min Yeon (Tue,) studied this question.

synapsesocial.com/papers/69d894526c1944d70ce053e2 — DOI: https://doi.org/10.5281/zenodo.19449545

Authors

Jeong Min Yeon

Korea Aerospace University

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Korea Aerospace University

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Flux-Pinned Defect Dynamics

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Authors

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion