Abstract Classical physics describes magnetism as an intrinsic field property of moving charges, traditionally visualized by lines of force. This monograph introduces a fundamental redefinition of electromagnetic theory within the Kish Lattice framework. We propose that the vacuum is not empty space but a high-tensile geometric substrate governed by the 16/pi modulus. We demonstrate that "magnetism" is physically the Orthogonal Rotational Stress (Torque) generated when this lattice substrate resists linear energy displacement (electric current). Just as a linear force applied to a helical gear results in rotation, the linear flow of electrons forces local vacuum nodes to twist at 90 degrees to conserve angular momentum. Key Findings: The Gear-Mesh Mechanic: The "Right-Hand Rule" is derived as a mechanical necessity of lattice gearing rather than an arbitrary physical law. Attraction vs. Repulsion: Magnetic forces are defined by gear synchronization (meshing vs. grinding) rather than charge polarity. Geometric Modulus: The precise torque coefficient is defined by the 16/pi constant ($5.09...$). The Torsion Sieve: We introduce the theoretical application of using resonant magnetic torque to separate geometric structures (biological filtration) based on their harmonic alignment with the vacuum refresh rate. This work unifies electromagnetism with vacuum geometry, suggesting that the "B-Field" is simply a measurement of the elastic limit of the space-time grid.