DOPPLER HORROR IN EINSTEINIANA

Sound waves - Doppler effect - observer moving with speed v relative to the source: One cannot deduce the frequency shift f'=f(1+v/c) unless one assumes, explicitly or implicitly, that the speed of the waves as measured by the observer is c'=c+v:

http://faculty.washington.edu/wilkes...erference..pdf
"Sound waves have speed c, and f and L are related by c=Lf. For an observer moving relative to medium with speed u, apparent propagation speed c' will be different: c'=c±u. Wavelength cannot change - it's a constant length in the medium, and same length in moving coordinate system (motion does not change lengths). Observed frequency has to change, to match apparent speed and fixed wavelength: f'=c'/L."

Light waves - Doppler effect - observer moving with speed v relative to the source: One cannot deduce the frequency shift f'=f(1+v/c) unless one assumes, explicitly or implicitly, that the speed of the waves as measured by the observer is c'=c+v:

http://www.youtube.com/watch?v=lmI-IaV960c
The Doppler Effect for a moving observer

Here the formula f'=f(1+v/c) is derived as:

fo = fs(1 - Vo/Vw)

We have also:

fs = Vw/(lambda)

fo = (velocity of wave as measured by the moving observer)/(lambda)

where (lambda)=Ts*Vw is the wavelength. Therefo

(velocity of wave as measured by the moving observer) = Vw - Vo

which is the same as c'=c+v.

More examples showing that the frequency shift f'=f(1+v/c) cannot be deduced unless one assumes, explicitly or implicitly, that the speed of the light waves as measured by the observer is c'=c+v:

http://a-levelphysicstutor.com/wav-doppler.php
"vO is the velocity of an observer moving towards the source. This velocity is independent of the motion of the source. Hence, the velocity of waves relative to the observer is c + vO. (...) The motion of an observer does not alter the wavelength. The increase in frequency is a result of the observer encountering more wavelengths in a given time."

http://www.expo-db.be/ExposPrecedent...%20Doppler.pdf
"La variation de la fréquence observée lorsqu'il y a mouvement relatif entre la source et l'observateur est appelée effet Doppler. (...) 6. Source immobile - Observateur en mouvement: La distance entre les crêtes, la longueur d'onde lambda ne change pas. Mais la vitesse des crêtes par rapport à l'observateur change !"

http://www.usna.edu/Users/physics/mu...plerEffect.pdf
Carl Mungan: "Consider the case where the observer moves toward the source. In this case, the observer is rushing head-long into the wavefronts... (....) In fact, the wave speed is simply increased by the observer speed, as we can see by jumping into the observer's frame of reference."

http://www.hep.man.ac.uk/u/roger/PHY.../lecture18.pdf
Roger Barlow, Professor of Particle Physics: "Moving Observer. Now suppose the source is fixed but the observer is moving towards the source, with speed v. In time t, ct/(lambda) waves pass a fixed point. A moving point adds another vt/(lambda). So f'=(c+v)/(lambda)."

http://www.cmmp.ucl.ac.uk/~ahh/teach...24n/lect19.pdf
Tony Harker, University College London: "If the observer moves with a speed Vo away from the source (...), then in a time t the number of waves which reach the observer are those in a distance (c-Vo)t, so the number of waves observed is (c-Vo)t/lambda, giving an observed frequency f'=f((c-Vo)/c) when the observer is moving away from the source at a speed Vo."

http://www.einstein-online.info/spotlights/doppler
Albert Einstein Institute: "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 [that is, the speed of light as measured by the receiver is (4/3)c]."

Pentcho Valev

http://rockpile.phys.virginia.edu/mod04/mod34.pdf
Paul Fendley: "Now let's see what this does to the frequency of the light. We know that even without special relativity, observers moving at different velocities measure different frequencies. (This is the reason the pitch of an ambulance changes as it passes you it doesn't change if you're on the ambulance). This is called the Doppler shift, and for small relative velocity v it is easy to show that the frequency shifts from f to f(1+v/c) (it goes up heading toward you, down away from you). There are relativistic corrections, but these are negligible here."

Yes it is easy to show that the frequency shifts from f to f'=f(1+v/c) but Einsteinians are horrified since the demonstration implies that the speed of light as measured by the observer shifts from c to c'=c+v:

http://physics-animations.com/Physic...h/dopp_txt.htm
Next, we shall consider the case when observer moves and the source of the wave is still. In this case the wavelength is not changed and Doppler frequency shift appears because the velocity w of the wave relatively the observer is changed:

w = u + v (observer is moving toward the stationary source)

w = u - v (observer is moving away from the stationary source)

Because f_dop = w/lambda, initial f = u/lambda_0 and lambda = lambda_0 we find that

f_dop = f(1+v/u) (observer moves toward the stationary source)

f_dop = f(1-v/u) (observer is moving away stationary source)
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[end of quotation]

Pentcho Valev

When the observer starts moving relative to the light source, both the frequency and the speed of the waves relative to him obviously change... No! The frequency does change but the speed... Help! Help! Divine Einstein! Yes we all believe in relativity, relativity, relativity! The speed cannot change! Absurd! Impossible! Divine Albert has said the speed never changes:

http://www.youtube.com/watch?feature...&v=EVzUyE2oD1w
Dr Ricardo Eusebi: "f'=f(1+v/c). Light frequency is relative to the observer. The velocity is not though. The velocity is the same in all the reference frames."

Since the frequency changes and the speed of the waves relative to the observer should not change, Divine Einstein, yes we all believe in relativity, relativity, relativity, then the motion of the observer must somehow change the wavelength, even if the idea sounds too idiotic. The only problem is that some clever student may ask: "Well, the motion of the observer does change the wavelength of light waves but does not change the wavelength of sound waves - why?" To avoid this question, the most faithful Einsteinians teach that the motion of the observer changes the wavelength of all waves so that the speed of the waves as measured by the observer can gloriously remain constant, Divine Einstein, yes we all believe in relativity, relativity, relativity:

http://www.lp2i-poitiers.fr/doc/aps/...oppleffet.html
"The observer moves closer to the source. The wave received has a shorter wavelength (higher frequency) than that emitted by the source. The observer moves away from the source. The wave received has a longer wavelength (lower frequency) than that emitted by the source."

Pentcho Valev