Geometric Suppression of Singularities in 3D Navier–Stokes Equations.

This preprint presents a conceptual framework for geometric suppression of singularities in the three-dimensional Navier–Stokes equations. The central idea is the introduction of a minimal scale r_min, below which viscous dissipation structurally dominates nonlinear amplification. The article formulates a theorem and supporting lemmas based on the local Reynolds number criterion, connecting energy inequalities with geometric scaling. The work should be read as a mechanism and interpretation rather than a final proof: it offers a structural principle that viscosity enforces regularity at sufficiently small scales. The framework resonates with classical results (Caffarelli–Kohn–Nirenberg, Escauriaza–Seregin–Šverák) and aligns with physical intuition from Kolmogorov turbulence theory. By combining mathematical reasoning and physical analogy, this preprint aims to contribute to the ongoing discussion on Navier–Stokes regularity, providing both a heuristic and a theorem sketch that highlight viscosity as a built-in safeguard against finite-time blow-up.