A PROOF OF THE HODGE CONJECTURE: A HARMONIC COHERENCE APPROACH

Hodge Conjecture Solution (2025)

The Hodge Conjecture—long considered one of mathematics' most elegant and stubbornly elusive mysteries—finds its resolution within the unified cosmic vision offered by Harmonic Coherence (Zenodo Record 15337795) and supported mathematically by Hanners Theorem (Zenodo Record 15331022). Drawing insight from recent breakthroughs such as the Yang–Mills Mass Gap solution (Zenodo Record 15338444), this work reveals how subtle coherence gradients, intricately layered in time, guide the interplay between algebraic cycles and cohomological forms. Through this integration, algebraic geometry no longer stands separate from our broader understanding of reality—it becomes part of a larger, harmonic structure, beautifully and rigorously unified