Two vortex rings approach, stretch, and reconnect — fundamental to turbulence topology
Vortex filaments evolve by the Biot-Savart law: each point on a filament moves in the velocity field induced by all other points.
When two filaments approach within the core radius, reconnection occurs — the filaments cut and reconnect, changing the topology. This releases helicity and generates smaller-scale vortices.
Reconnection is central to turbulence energy cascade, quantum vortex dynamics, and DNA replication (topoisomerases reconnect DNA strands).
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