A light source emits a series of pulses the distance between which is d (e.g. d=300000km). A stationary observer/receiver measures the frequency of the light pulses to be f=c/d:

http://www.einstein-online.info/imag...ler_static.gif

An observer/receiver moving with speed v (let v be small so that the relativistic corrections can be ignored) towards the light source measures the frequency of the light pulses to be f'=(c+v)/d:

http://www.einstein-online.info/imag...ector_blue.gif

From the formula f=c/d one infers that the speed of the light pulses relative to the stationary observer/receiver is c. From the formula f'=(c+v)/d one infers that the speed of the light pulses relative to the moving observer/receiver is c'=c+v, in violation of special relativity.

In other words: As the observer starts moving towards the light source with speed v, the speed of the light pulses relative to him shifts from c to c'=c+v (in violation of special relativity) and, as a result, the frequency the observer measures shifts from f=c/d to f'=(c+v)/d:

http://www.youtube.com/watch?v=bg7O4rtlwEE
"Doppler effect - when an observer moves towards a stationary source. ...the velocity of the wave relative to the observer is faster than that when it is still."

As the observer starts moving away from the light source with speed v, the speed of the light pulses relative to him shifts from c to c'=c-v (in violation of special relativity) and, as a result, the frequency the observer measures shifts from f=c/d to f'=(c-v)/d:

http://www.youtube.com/watch?v=SC0Q6-xt-Xs
"Doppler effect - when an observer moves away from a stationary source. ....the velocity of the wave relative to the observer is slower than that when it is still."

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: (...) 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."

Let "the distance between subsequent pulses" be 300000 km. Then the frequency measured by the stationary receiver is f = 1 s^(-1) and that measured by the moving receiver is f' = 4/3 s^(-1). Accordingly, the speed of the pulses relative to the moving receiver is:

c' = (4/3)c = 400000 km/s

in violation of special relativity.

The relativistic corrections change essentially nothing. The speed of the receiver is (1/3)c so gamma is 1.05. Accordingly, the corrected f' is (1.05)*(4/3) s^(-1) and the corrected c' is (1.05)*(400000) km/s. Special relativity remains violated.

Pentcho Valev