Second comment on 'Maxwell's equations and Lorentz transformations'

Abstract

Aguirregabiria et al (2022) Eur. J. Phys. 43 035603 obtained the Lorentz transformations by assuming the invariance of Maxwell's equations in vacuum under inertial transformations. However, they do not initially assume that these transformations must be linear. Later, Redzic (2022) Eur. J. Phys. 43 068002 indicates that it is necessary to explicitly assume the linearity of these transformations to avoid a remarkable and surprising result. Now it is shown that it is not necessary to make the assumption that the transformation equations between inertial reference frames must be linear, but that this linearity is a consequence of the homogeneity of space-time.