VARIABLE SPEED OF SOUND AND LIGHT

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."

The video shows a light source and an (initially) stationary observer measuring the frequency to be f=c/d, where d is the distance between the wavecrests.

When the observer starts moving with speed v away from the light source, the videowatcher clearly sees that the speed of the wavecrests relative to the observer shifts from c to c'=c-v, and that this causes the frequency the observer measures to shift from f=c/d to f'=(c-v)/d=f(1-v/c).

Yet Dr. Ricardo Eusebi explains that the shift from c to c'=c-v, although clearly seen in the animation, is not there - rather, the speed of the wavecrests relative to the observer remains unchanged (c'=c):

Ignatius of Loyola: "That we may be altogether of the same mind and in conformity with the Church herself, if she shall have defined anything to be black which appears to our eyes to be white, we ought in like manner to pronounce it to be black."

Needless to say, not all scientists suffer from the above schizophrenia. Many admit, explicitly or implicitly, that the speed of the light waves relative to the observer does vary with the speed of the observer:

http://physics.bu.edu/~redner/211-sp...9_doppler.html
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'/(lambda)=(v+vO)/(lambda)."

http://www.cmmp.ucl.ac.uk/~ahh/teach...24n/lect19.pdf
Tony Harker, University College London: "The Doppler Effect: Moving sources and receivers. The phenomena which occur when a source of sound is in motion are well known. The example which is usually cited is the change in pitch of the engine of a moving vehicle as it approaches. In our treatment we shall not specify the type of wave motion involved, and our results will be applicable to sound or to light. (...) Now suppose that the observer is moving with a velocity Vo away from the source. (....) 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(1-Vo/c) when the observer is moving away from the source at a speed Vo."

Tony Harker: "In a time t the number of waves which reach the observer are those in a distance (c-Vo)t."

Consequence: The speed of the light waves relative to the moving observer is:

c' = distance/time = (c - Vo)t/t = c - Vo,

in violation of Einstein's relativity.

Pentcho Valev