A Solution to the Hodge Conjecture via K 11 Network Matrices in Big Boot Gauge Theory

This paper presents a formal resolution framework for the Hodge Conjecture by integrating Matthias Asare-Darko’s Big Boot Gauge Theory (BBGT) with a discrete K11complete graph matrix topology. By embedding complex projective varieties into octonionic ZIP space (OZIP) under the basic axiom X/0 = X, singularities are natively absorbed, and continuoustopological cycles are quantized into rational algebraic cycles via the Darkon HomotopyCorrector.