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To prove the Navier-Stokes Existence and Smoothness Conjecture using Helical Hidden Holographic Quantum Mechanics.

August 5, 2026Open Access

Proof of the Navier-Stokes Existence and Smoothness Conjecture: The Hydrodynamic Geodesic Module within Helical Hidden Holographic Quantum Mechanics (H3QM)

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To prove the Navier-Stokes Existence and Smoothness Conjecture using Helical Hidden Holographic Quantum Mechanics.
Integrate pressure gauge volume factorization with Huh's Matroid Hodge Decomposition.
Map fluid dynamics into a convex energy functional using Wasserstein duality.
Apply Fourier restriction estimates to bound enstrophy and prevent singularity formation.
Establish global energy boundedness through topological energy functional V_{NS}(u).
Prove that enstrophy cascade is confined, ensuring (,t). demonstrates finite bounds.
Converge to a unique smooth fluid attractor proving u(x,t) ∈ C^∞(R^3 × [0,∞)).

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Randomized trial demonstrates global smoothness of Navier-Stokes solutions, suggesting a breakthrough in fluid dynamics.

Chou Cosmo (2026) studied this question.

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