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Old October 11th 13, 09:02 AM posted to sci.astro
Pentcho Valev
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Default SPECIAL RELATIVITY AND SANE SCIENCE

A light source emits pulses at time intervals Ts. A stationary receiver/observer receives the pulses at time intervals Tr=Ts. For that observer the speed of the pulses is:

c = L/Tr = L/Ts

where L is the distance between the pulses (arbitrarily chosen by the source). So far special relativity and sane science agree.

Now the receiver/observer starts moving towards the source at one third of the speed of the pulses themselves. Accordingly, Tr is shortened - for the moving observer we have:

Tr' = (3/4)Ts

Again, special relativity and sane science are in agreement:

http://www.einstein-online.info/spotlights/doppler
Albert Einstein Institute: "Here is an animation of the receiver moving towards the source: (...) ...the distances between subsequent pulses are not affected... (...) 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."

Finally, sane science concludes that the speed of the pulses relative to the moving observer has increased:

c' = L/Tr' = (4/3)c

Special relativity says nothing. Days and weeks pass in silence but then again winds from all over the world start bringing the victorious tunes of "Divine Einstein" and "Yes we all believe in relativity, relativity, relativity".

Pentcho Valev