In classical electrodynamics, the magnetic force is treated either as a fundamental interaction or as a relativistic byproduct of the electric field acting on moving charges. This paper explores a strictly kinematic and geometric interpretation of a magnetic-like interaction derived from the Concentric Shell Theory (CST). By modeling elementary particles as extended, stationary scalar wavefields, the transverse interaction—termed topological drag—between two such particles moving on parallel trajectories is numerically simulated. Integration of the interference energy demonstrates that Galilean rigid translation yields a constant force, failing to produce velocity-dependent transverse components. However, when the Lorentz spatial contraction is applied to the wave fronts of the moving particles, the geometric symmetry of the interference pattern breaks. The resulting differential transverse impulse is found to be numerically consistent with a v² scaling law, approximating the macroscopic behavior of the Lorentz magnetic force. A supplementary spatial analysis indicates a transverse decay proportional to d^-1. 30, suggesting a possible long-range interaction envelope. This preliminary finding provides exploratory numerical evidence for a possible kinematic origin of velocity-dependent transverse interactions within the Concentric Shell Theory.
Ernesto De Luca (Fri,) studied this question.