Convergence-theoretic reformulation of the Hodge Conjecture for K3 surfaces, with flow-based projection methods, numerical experiments, and symbolic generalizations to abelian varieties and Calabi–Yau threefolds.

This repository presents Version 8.0, a fully formal, logically closed, and collapse-theoretic resolution of the global regularity of the 3D incompressible Navier–Stokes equations on R³, developed under the AK High-Dimensional Projection Structural Theory (AK-HDPST)

Lean 4 formalization of the Frohmanian Symplectic Tether- a geometric approach to the 3D Navier–Stokes Millennium Problem.

Geometric depletion of enstrophy production in the extreme vorticity tail — a Reynolds-number study toward the Navier–Stokes regularity question (Saluca Labs). DNS + JHTDB pipeline + analysis; MIT.

Investigacion experimental abierta sobre P vs NP: transicion de fase SAT, geometria del espacio de soluciones y complejidad computacional. Con IA. @Investigador_Amateur

Canonical-lane closure package for Yang-Mills existence and mass gap: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

Canonical-lane closure package for the Birch-Swinnerton-Dyer Conjecture: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

Canonical-lane closure package for the Hodge Conjecture: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

Canonical-lane closure package for the Poincaré Conjecture: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

Canonical-lane closure package for the Riemann Hypothesis: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

A new regularity criterion for the 3D Navier–Stokes equations based on alignment between pressure gradient and vorticity

Canonical-lane closure package for 3D Navier-Stokes global regularity: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.