Paper III Geometric Origin of Electromagnetic Forces-From Radial Twist to Maxwell's Equations

This is Paper III of the Planck Deformation Unit Space Theory (PDUST) series. It establishes a geometric theory of electromagnetic forces based on the deformation unit framework. Magnetic fields are interpreted as the axial twist of space deformation units, and electromagnetic induction as the elastic coupling between radial and axial twists. Maxwell's equations are shown to emerge as the macroscopic manifestation of twist field dynamics in the deformation unit lattice. The Lorentz force, Ampère force, and electromagnetic induction are given microscopic geometric interpretations through the lock-displacement-replacement model. Testable predictions are proposed, including current saturation under extremely strong magnetic fields and excess current noise. This paper, together with Paper II (charge) and Paper V (light), forms the complete geometric theory of electromagnetic forces within the PDUST framework.