Theoretical model demonstrates unified representation of turbulence dynamics via quaternionic geometry, suggesting geometric origins for hierarchical energy cascades.
This paper introduces a quaternionic model of turbulence, expressing velocity, vorticity, helicity, and vortex‑tube topology as a 3‑imaginary–1‑real entanglement. Curvature generates these components, torsion encodes asymmetry, and a connection‑matrix spectrum reveals the hierarchical cascade.
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Shin Tamaki (2026) studied this question.
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