“Controversies” in Special Relativity? Not So Fast!

Abstract

Even after 119 years from the discovery of special relativity now and then papers claiming to have discovered “controversies”: and “contradictions” in the theory surface occasionally. Dispelling such incorrect claims presents the opportunity to set things straight and to learn valuable lessons. In the present paper will present the correct, rigorous take on two such subjects: the shape of the spherical electromagnetic radiation wavefront (photon sphere) as viewed from a moving frame and the twin “paradox”.