The global regularity of the 3D incompressible Navier-Stokes equations for large initial data is a foundational open problem in fluid mechanics. This extended preprint announces a rigorous analytical framework, Nikul the Real Equation, establishing global C^ regularity. By embedding the velocity field u (x, t) in a continuous time-weighted Nikul-Gevrey space and utilizing the explicit Topological Helicity Operator constrained strictly by the Cauchy-Schwarz inequality, we prove that non-linear vortex stretching is mathematically quenched. The framework incorporates Littlewood-Paley splitting and aligns topological phase cancellations with structural symmetries.
Nikulbhai Rajeshbhai Solanki (Sun,) studied this question.