Hodge Conjecture: A Proof via Holographic Information Theory

We prove the Hodge Conjecture by embedding projective algebraic varieties withinthe Entropix MESA holographic framework. The key insight is that Hodge classescorrespond to coherent information patterns on the holographic screen, while algebraiccycles are the minimal entropy geometric configurations that realize these patterns.We show that the Write Tax mechanism forces every Hodge class to be algebraic, asnon algebraic representatives would require infinite information content