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http://www.phys.uconn.edu/~gibson/Notes/Section6_3/Sec6_3.htm
Professor George N. Gibson, University of Connecticut: "However, if either the source or the observer is moving, things change. This is called the Doppler effect. (...) To understand the moving observer, imagine you are in a motorboat on the ocean. If you are not moving, the boat will bob up and down with a certain frequency determined by the ocean waves coming in. However, imagine that you are moving into the waves fairly quickly. You will find that you bob up and down more rapidly, because you hit the crests of the waves sooner than if you were not moving. So, the frequency of the waves appears to be higher to you than if you were not moving. Notice, THE WAVES THEMSELVES HAVE NOT CHANGED, only your experience of them. Nevertheless, you would say that the frequency has increased. Now imagine that you are returning to shore, and so you are traveling in the same direction as the waves. In this case, the waves may still overtake you, but AT A MUCH SLOWER RATE - you will bob up and down more slowly. In fact, if you travel with exactly the same speed as the waves, you will not bob up and down at all. The same thing is true for sound waves, or ANY OTHER WAVES. If you are moving into a wave, its frequency will appear to you to be higher, while if you are traveling in the same direction as the waves, their frequency will appear to be lower. The formula for the frequency that the observer will detect depends on the speed of the observer - the larger the speed the greater the effect. If we call the speed of the observer, Vo, the frequency the observer detects will be: f'=f(1 plus Vo/Vwave). Here, f is the original frequency and Vwave is the speed of the wave."
Clearly the speed of the waves relative to the observer VARIES with the speed of the observer in accordance with the equation:
V' = Vwave plus Vo
which is in fact the fundamental equation of Newton's emission theory of light:
c' = c plus v
The moving observer scenario refutes Einstein's special relativity but does not discriminate between Newton's emission theory of light and some ether-based theories:
http://www.eng.uwi.tt/depts/elec/staff/sgift/special_relativity.pdf
The Invalidation of a Sacred Principle of Modern Physics, Stephan J.G. Gift
"For a stationary observer O, the stationary light source S emits light at speed c, wavelength Lo, and frequency Fo given by Fo=c/Lo. If the observer moves toward S at speed v, then again based on classical analysis, the speed of light relative to the moving observer is (c plus v) and not c as required by Einstein's law of light propagation. Hence the observer intercepts wave-fronts of light at a frequency fA, which is higher than Fo, as is observed, and is given by fA = (c plus v)/Lo > Fo. (...) In light of this elementary result invalidating STR, it is difficult to understand why this invalid theory has been (and continues to be) accepted for the past 100 years."
Pentcho Valev pvalev@yahoo.com