http://phys.org/news/2015-10-historic-delft-einstein-god-dice.html
"The experiment gives the strongest refutation to date of Albert Einstein's principle of "local realism," which says that the universe obeys laws, not chance, and that there is no communication faster than light. (...) ...the Delft experiment gives a nearly perfect disproof of Einstein's world-view, in which "nothing travels faster than light" and "God does not play dice." At least one of these statements must be wrong."
No need to rely on entanglement experiments to disprove relativity - even Einstein knew that the constant-speed-of-light principle was nonsense:
http://www.aip.org/history/exhibits/einstein/essay-einstein-relativity.htm
John Stachel: "But here he ran into the most blatant-seeming contradiction, which I mentioned earlier when first discussing the two principles. As noted then, the Maxwell-Lorentz equations imply that there exists (at least) one inertial frame in which the speed of light is a constant regardless of the motion of the light source. Einstein's version of the relativity principle (minus the ether) requires that, if this is true for one inertial frame, it must be true for all inertial frames. But this seems to be nonsense. How can it happen that the speed of light relative to an observer cannot be increased or decreased if that observer moves towards or away from a light beam? Einstein states that he wrestled with this problem over a lengthy period of time, to the point of despair."
Any reasonable interpretation of the Doppler effect (moving observer) shows that the speed of light is not constant - it is different for differently moving observers:
http://physics.bu.edu/~redner/211-sp06/class19/class19_doppler.html
Professor Sidney Redner: "The Doppler effect is the shift in frequency of a wave that occurs when the wave source, or the detector of the wave, is moving. Applications of the Doppler effect range from medical tests using ultrasound to radar detectors and astronomy (with electromagnetic waves). (...) We will focus on sound waves in describing the Doppler effect, but it works for other waves too. (...) Let's say you, the observer, now move toward the source with velocity vO. You encounter more waves per unit time than you did before. Relative to you, the waves travel at a higher speed: v'=v+vO. The frequency of the waves you detect is higher, and is given by: f'=v'/λ=(v+vO)/λ."
"Relative to you, the waves travel at a higher speed" = Goodbye Einstein!
http://www.hep.man.ac.uk/u/roger/PHYS10302/lecture18.pdf
Professor Roger Barlow: "The Doppler effect - changes in frequencies when sources or observers are in motion - is familiar to anyone who has stood at the roadside and watched (and listened) to the cars go by. It applies to all types of wave, not just sound. (...) Moving Observer. Now suppose the source is fixed but the observer is moving towards the source, with speed v. In time t, ct/λ waves pass a fixed point. A moving point adds another vt/λ. So f'=(c+v)/λ."
That is, for all types of wave, the speed of the waves relative to the fixed point (observer) is
(ct/λ)(λ/t) = c
The speed of the waves relative to the moving point (observer) is
(ct/λ + vt/λ)(λ/t) = c + v,
in violation of Einstein's relativity.
http://www.einstein-online.info/spotlights/doppler
Albert Einstein Institute: "The frequency of a wave-like signal - such as sound or light - depends on the movement of the sender and of the receiver. This is known as the Doppler effect. (...) Here is an animation of the receiver moving towards the source:
http://www.einstein-online.info/images/spotlights/doppler/doppler_static.gif (stationary receiver)
http://www.einstein-online.info/images/spotlights/doppler/doppler_detector_blue.gif (moving receiver)
By observing the two indicator lights, you can see for yourself that, once more, there is a blue-shift - the pulse frequency measured at the receiver is somewhat higher than the frequency with which the pulses are sent out. This time, the distances between subsequent pulses are not affected, but still there is a frequency shift: As the receiver moves towards each pulse, the time until pulse and receiver meet up is shortened. In this particular animation, which has the receiver moving towards the source at one third the speed of the pulses themselves, four pulses are received in the time it takes the source to emit three pulses."
If the distance between subsequent pulses is d and "the time it takes the source to emit three pulses" is t, then the speed of the pulses relative to the source is
3d/t = c,
and relative to the moving receiver is
4d/t = (4/3)c,
in violation of Einstein's relativity.
Pentcho Valev