Defect-Induced Non-Abelian Mixing and Dissipative Reduction

We propose a defect-mediated mechanism linking angular-velocity blow-up, holonomy preservation, and nonabelian structure formation in multi-layer Möbius phase-loop systems. We show that outer-layer divergence forces a singular compensating mode in the central layer, converting continuous angular divergence into a localized holonomy jump. This induces a structural reduction su(3) → su(2) and generates an effective mass from phase mismatch. The π/2 phase constraint enforces nonabelian curvature and vortex formation, while curvature-correlated dissipation drives an irreversible cascade toward a trivial holonomy state. This provides a dynamical selection mechanism for irreducible holonomy configurations.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-01
DOI
https://doi.org/10.5281/zenodo.19368069
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
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article

Defect-Induced Non-Abelian Mixing and Dissipative Reduction

Jeong Min Yeon
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Dynamics and Pattern Formation
article

Defect-Induced Non-Abelian Mixing and Dissipative Reduction

Jeong Min Yeon
article en

Abstract

We propose a defect-mediated mechanism linking angular-velocity blow-up, holonomy preservation, and nonabelian structure formation in multi-layer Möbius phase-loop systems. We show that outer-layer divergence forces a singular compensating mode in the central layer, converting continuous angular divergence into a localized holonomy jump. This induces a structural reduction su(3) → su(2) and generates an effective mass from phase mismatch. The π/2 phase constraint enforces nonabelian curvature and vortex formation, while curvature-correlated dissipation drives an irreversible cascade toward a trivial holonomy state. This provides a dynamical selection mechanism for irreducible holonomy configurations.

Zenodo (CERN European Organization for Nuclear Research)
Korea Aerospace University (KR)
Life in Land
Openalex Percentile: Top 24%
Nonlinear Dynamics and Pattern Formation
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Defect-Induced Non-Abelian Mixing and Dissipative Reduction — Jeong Min Yeon · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS