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physics.flu-dyn2026
An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking
Ahmed Farooq
Fully developed isotropic turbulence exhibits a dual nature: a continuous, scale-invariant energy cascade coexists with discrete, intense vortex filaments. We show that this dualit…
physics.flu-dyn2026
A Statistical Field Theory for Isotropic Turbulence
Ahmed Farooq
This article establishes a first-principles statistical field theory of fully developed isotropic turbulence. Applying an exact Helmholtz decomposition to the local angular momentu…