Transverse Wave Equation from Weber’s Electrodynamics

It has been a common view that electromagnetic wave equation in vacuum cannot be obtained with Weber’s electrodynamics. With a polarizable vacuum postulate, an electric wave equation was recently derived from Weber’s electrodynamics. However, this wave equation only applies to longitudinal wave propagation. It does not work for transverse wave since it requires non-zero divergence of electric field. In this paper, we try to derive a wave equation for transverse wave propagation using the curl component of electric field with zero divergence.