The Vortex Framework: Non-Abelian Holonomies from Linked Vortex Networks in a 3+1D Quantized Superfluid Part II
Fuente:
Zenodo
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Sprache: | Englisch |
| Veröffentlicht: |
Zenodo
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866901315133636608 |
|---|---|
| author | Smith, Alex |
| author_facet | Smith, Alex |
| contents | <p>We extend the emergent hydrodynamic framework for fermionic exchange established in Part I to multi-component vortex networks in a 3+1D quantized superfluid.<br>Single framed vortex loops reproduce the Abelian π Berry phase corresponding to fermionic exchange. Multi-component and linked vortex networks exhibit matrixvalued non-Abelian Berry holonomies acting on degenerate internal states associated with symmetry groups G. These holonomies arise from internal degeneracy and topological linking rather than from braid-group statistics. We show how effective gauge interactions emerge from constrained collective dynamics and present a qualitative analogue mapping between vortex network structures and Standard Model–like internal quantum numbers.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18575494 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Vortex Framework: Non-Abelian Holonomies from Linked Vortex Networks in a 3+1D Quantized Superfluid Part II Smith, Alex SU(3) × SU(2) × U(1) Standard Model analogues Vortex networks Triple-linked vortices SU(2) doublets U(1) charge Internal symmetry emergence Internal symmetry emergence Coupling constants (gs, gw, gY) Superfluid vacuum Vortex dynamics Vortex dynamics Emergent spacetime Topology Phase coherence Substrate inertia Quantum analogue models <p>We extend the emergent hydrodynamic framework for fermionic exchange established in Part I to multi-component vortex networks in a 3+1D quantized superfluid.<br>Single framed vortex loops reproduce the Abelian π Berry phase corresponding to fermionic exchange. Multi-component and linked vortex networks exhibit matrixvalued non-Abelian Berry holonomies acting on degenerate internal states associated with symmetry groups G. These holonomies arise from internal degeneracy and topological linking rather than from braid-group statistics. We show how effective gauge interactions emerge from constrained collective dynamics and present a qualitative analogue mapping between vortex network structures and Standard Model–like internal quantum numbers.</p> |
| title | The Vortex Framework: Non-Abelian Holonomies from Linked Vortex Networks in a 3+1D Quantized Superfluid Part II |
| topic | SU(3) × SU(2) × U(1) Standard Model analogues Vortex networks Triple-linked vortices SU(2) doublets U(1) charge Internal symmetry emergence Internal symmetry emergence Coupling constants (gs, gw, gY) Superfluid vacuum Vortex dynamics Vortex dynamics Emergent spacetime Topology Phase coherence Substrate inertia Quantum analogue models |
| url | https://doi.org/10.5281/zenodo.18575494 |