Axiomatic derivation of Maxwell's equations

Abstract

The derivation of Maxwell's equations commencing with Coulomb's law can be carried out in several ways by extending the work of Page. However, their derivation without assuming any experimental results of electromaglletics like Coulomb's law has not so far been carried out. This communication gives an axiomatic derivation of Maxwell's equations assuming only the conservation of charge, special relativity with the associated structure of space and a reIation connecting electric and magnetic field intensities.