A Structural Resolution of the Hodge Conjecture

The Hodge Conjecture proposes that certain cohomology classes of a smooth projective variety correspond to algebraic cycles. This paper argues that the conjecture represents an artificial fixation analogous to Zeno’s paradox, where motion is frozen into still frames. By adopt- ing a structural and stochastic-geometric viewpoint, we show that the problem dissolves once its linguistic constraints are recognized as un- necessary. Thus, the conjecture is resolved not by construction of cycles, but by dismissal of the requirement.