Sagnac Effect and Special Relativity - A Thought Experiment

It is commonly claimed that the Sagnac effect does not contradict Special Relativity, because it is manifest in non-inertial radial motion and should be treated in the framework of General relativity. This claim is adhered to in justifying the implementation of both the Sagnac effect, and the Special Relativity time dilation in the GPS clocks synchronization. The present paper describes a thought experiment, called the absent-minded assistant, which proves that as far as the velocity, kinetic energy, time and distance of travel, are concerned, a uniform radial motion with fixed radios R, and radial velocity ω = v/R,is equivalent to a uniform linear motion with velocity v. With this proven on base of pure logic, the conclusions to be drawn are: (a) that the equivalence between of the linear and the radial Sagnac effects, previously detected experimentally, is also proven theoretically, and (b) That the second axiom of Special Relativity, positing that the speed of light is the same for all uniformly moving frames along a straight path, is incorrect. I.