Perhaps We Have Misunderstood the Maxwell's Theory and the Galilean Transformations

The Einstein's theory of special relativity is based on his two postulates.The first is that the laws of physics are the same in all inertial reference frames.The second is that the velocity of light in the vacuum is the same in all inertial frames.The theory of special relativity is considered to be supported by a large number of experiments.This paper revisits the two postulates according to the new interpretations to the exact solutions of moving sources in the laboratory frame.The exact solutions are obtained using the classic Maxwell's theory, which clearly show that the propagation velocity of the electromagnetic waves of moving sources in the vacuum is not isotropic; the propagation velocity of the electromagnetic waves and the moving velocity of the sources cannot be added like vectors; the transverse Doppler effect is intrinsically included in the fields of the moving sources.The electromagnetic sources are subject to the Newtonian mechanics, while the electromagnetic fields are subject to the Maxwell's theory.We argue that since their behaviors are quite different, it is not a best choice to try to bind them together and force them to undergo the same coordinate transformations as a whole, like that in the Lorentz transformations.Furthermore, the Maxwell's theory does not impose any limitations on the velocity of the electromagnetic waves.To assume that all objects cannot move faster than the light in the vacuum need more examinations.We have carefully checked the main experiment results that were considered as supporting the special relativity.Unfortunately, we found that the experimental results may have been misinterpreted.We here propose a Galilean-Newtonian-Maxwellian relativity, which can give the same or even better explanations to those experimental results.