TMD: Hydrodynamic Continuum,Sigma--Law Saturation and Global Regularity of the Navier--Stokes Equation
Year: 2026
Type: preprint
Abstract: Triadic Mesh Dynamics (TMD) provides a physical framework in which the Navier–Stokes equation emerges as a macroscopic limit of discrete orientational dynamics. The model incorporates Sigma–law saturation, the Kováč Spectral Horizon (KSH), emergent viscosity, and the flip–freeze mechanism, jointly ensuring bounded gradients, bounded spectrum, and finite-energy collapse. As a result, blow-up is physically impossible, and global regularity follows from the intrinsic constraints of the triadic network. "This work was written, among other reasons, because the Clay Institute is essentially asking for a solution to a mathematical fiction."
Author: Kováč, Aleš
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7211965618
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