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This record documents a negative result and an algorithmic alternative for conductor sizing in high-frequency regimes. We refute the hypothesis that a single closed-form “continuous unification” can yield the optimal conductor diameter across regimes. Through a numerical audit, four unified models (static p-norm, dynamic exponents, RF re-derived, and rule-based piecewise) are falsified against a multi-topology optimizer (“ground truth”), confirming that topology transitions (solid, Litz, hollow) cannot be captured by a smooth blend. The deposit includes the manuscript, figures, and supplementary files (audit CSV and code notes) to reproduce the reported error metrics