Unified Electrostatic and Magnetic Force Laws in the Aether Physics Model: Coulomb's Constant as Radial Projection of the Aether Unit

This paper derives the relationship between electrostatic and magnetic force laws within the Aether Physics Model (APM) and Quantum Measurement Units (QMU) framework. The derivation begins from established QMU closure identities connecting the Aether unit, curl, magnetic charge, and propagation. Magnetic force is identified with full torsional participation of distributed magnetic charge in the loxodromic geometry of the Aether unit, while electrostatic force is shown to arise as the radial projection of that same geometric interaction. A central result is the topological relationship \[\frac{A_u}{k_C}=16\pi^2,\] which implies that Coulomb's constant is not an independent interaction parameter but the radial projection of the Aether unit. The magnetic torsional force law \[A_u\frac{{e_{emax}}^{2}}{{\lambda_C}^{2}}\] and the electrostatic force law \[k_C\frac{e^{2}}{{\lambda_C}^{2}}\] are shown to be complementary geometric expressions of the same underlying distributed-charge architecture. The analysis further distinguishes the geometric projection factor ($16\pi^2$) from the weak-interaction factor ($8\pi\alpha$), demonstrating that electrostatic and magnetic force laws differ through both geometric projection and charge-carrier strength. The resulting synthesis provides a compact explanation for the relationship between Coulomb interaction and magnetic torsional interaction using only previously established QMU closures and topological identities.