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.

ia Collapse Theory and AK High-Dimensional Projection This repository presents Version 2.0 of a formal, categorical, and type-theoretic resolution of the Hodge Conjecture, formulated through Collapse Theory and the AK High-Dimensional Projection Structural Framework (AK-HDPST).

OPEN PROBLEMS WANT TO STAY OPEN

Structural analyses of 11 Millennium-Class challenges (01/30/2026). Using the XYAKANYAA System, the repository documents how expanded observational context yields harmonic stabilization. Experimental, reproducible, and open to refutation.

All the solutions to every Millenium Prize

The Hodge Conjecture via Hodge-class persistence and rigidity on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

ECI — Entanglement, Complexity, Information : M142 rational L-value hierarchy (10 PROVED theorems, h=1 imaginary quadratic), Schütt-Hodge MULTI-D, Yang-Mills Millennium attempt (m_YM=glueball <0.1σ), CC-NCG K3×F_SM, F-theory τ_p — open research (CC-BY-4.0, Zenodo-archived)