Thus, measurements of time dilatation phenomena in accordance with Special Relativity Theory, does not necessarily imply the independence of the speed of light with the movement of the source.
In the case of a source with variable speed, the main difference in Doppler (to first order) between Vibrating Rays Theory and Special Relativity Theory, is that Special Relativity Theory relates to the speed of the source at the time of emission, while Vibrating Rays Theory relates to the speed of the source at the time of reception.
So, it is not easy to make a direct comparison between the expected results from Special Relativity Theory and Vibrating Rays Theory.
3] the reception time at Earth, the first order difference of the Doppler shift between Vibrating Rays Theory and Special Relativity Theory is (see  Part 4)
That is, the velocity used in the Special Relativity Theory formula is that at the time of emission while according to Vibrating Rays Theory is that corresponding at the time of reception.
This is a first order effect that can partially hide the difference between Special Relativity Theory and Vibrating Rays Theory.
Thus, the simulated residual is obtained by subtracting the theoretical Special Relativity Theory Doppler, from the Vibrating Rays Theory calculation.
The only difference between orbits adjusted by Special Relativity Theory and Vibrating Rays Theory is a slight rotation of the orbit plane, as mentioned above.
Given Einstein's inflexible 1905 stance on the constitution of radiation, and the antithetical issues later raised by quantum entanglement, it seems reasonable to ask whether a local and separable characterization of radiation, as necessarily also employed by Einstein in the contemporaneous construction of the special relativity theory, would still be thought an appropriate predisposing model for its theoretical development.
Given that Huygens' principle in its modern form, presents as a highly potent and successful representation of electromagnetic propagation, yet equally presents as both nonlocal and non-separable, such a depiction may then be thought to recommend itself as the model of choice for a possible reformulation of the special relativity theory in a post-EPR context.
More recently, specialist laboratories pursue greatly improved precision for kinematical tests of special relativity theory in terms of local Lorentz invariance, as prescribed by the Robertson-Mansouri-Sexl (RMS) test theory (71) that utilizes, as both necessary and sufficient, the modern analogues of three earlier experimental procedures.
remain unchanged under Lorentz transformations which, in special relativity theory, algebraically express the spacetime relationships obtaining between physical quantities in relatively moving frames of reference.
Special relativity theory, as currently held, is more correctly the Minkowski-Einstein theory.