What question did this study set out to answer?

This research aims to explore non-Abelian holonomies arising from linked vortex networks in a quantized superfluid.

February 11, 2026Open Access

The Vortex Framework: Non-Abelian Holonomies from Linked Vortex Networks in a 3+1D Quantized Superfluid (v7) Part II

Puntos clave

This research aims to explore non-Abelian holonomies arising from linked vortex networks in a quantized superfluid.
Extend the hydrodynamic framework from Part I to multi-component vortex networks.
Analyze the emergence of non-Abelian Berry holonomies from linked vortex structures.
Establish connections between vortex networks and symmetry groups G.
Single framed vortex loops successfully reproduce the Abelian π Berry phase.
Linked vortex networks exhibit matrix-valued non-Abelian Berry holonomies acting on internal states.
Effective gauge interactions emerge from the collective dynamics of the vortex networks.

Resumen

We extend the emergent hydrodynamic framework for fermionic exchange established in Part I to multi-component vortex networks in a 3+1D quantized superfluid.Single framed vortex loops reproduce the Abelian π Berry phase corresponding to fermionic exchange. Multi-component and linked vortex networks exhibit matrix-valued non-Abelian Berry holonomies acting on degenerate internal states associated with symmetry groups G. These holonomies arise from internal degeneracyand topological linking rather than from braid-group statistics. We show how effective gauge interactions emerge from constrained collective dynamics and presentan analogue mapping between vortex network structures and Standard Model–like internal quantum numbers.

Leer artículo completoexternamente

Me gusta

Guardar

Ver artículo completo