Global Regularity of the Navier–Stokes Equations under the Principle of Finitary Variation (Formalized UDE)

This article presents an alternative approach based on a physical-mathematical framework called thePrinciple of Finitary Variation. This principle establishes a fundamental bound for the measurablevariation of physical quantities. We formalize this postulate as a functional constraint and use thisstructure to prove the absence of singularities in solutions of the Navier–Stokes equations.