A careful review of the literature reveals that electrodynamics is not free of theoretical problems. For instance, Peskin and Schroeder say in their book on Quantum Field Theory (QFT): "In fact, we will not discuss canonical quantization of the electromagnetic field at all in this book. It is an awkward subject, essentially because of gauge invariance". Additionally, although many texts treat the components of the electromagneticpotential as a 4-vector $A_mu$, Weinberg arguesin his QFT textbook: "...there is no ordinary four-vector field for massless particles of helicity $pm 1$"". The renormalization procedure is another problematic topic and Feynman called it in his QED book "a dippy process". These alarming quotationsencourage rigorous examination of themathematical framework of electrodynamics, thatthis work undertakes. It proves several quite unknown electromagnetic properties, and one of which explains why Weinberg's previous statement is right.