In a previous publication [5] we introduced gauge invariant electromagnetic potentials. However the field equations that were derived for them turn out to be the Coulomb gauge field equations. This raises the question ...

It is well known that the use of Helmholtz decomposition theorem for static vector fields C : R3 → R3 , when applied to the time dependent vector fields E : R4 → R3 , B : R4 → R3 which represent the electromagnetic field, ...

In this work we discuss the relationship between the instantaneous-action-at-a-distance solutions of Maxwell‟s equations obtained using Helmholtz theorem and the Lorentz‟s invariant solutions of the same equations obtained ...

José A. Heras has recently raised interesting criticism [1] regarding the conclusions to our paper [2]. His main point is his assertion that the equations we derived for the solenoidal (Es ) and the irrotational (Ei ) ...