http://www.usna.edu/Users/physics/mungan/Scholarship/DopplerEffect.pdf "Consider the case where the observer moves toward the source. In this case, the observer is rushing head-long into the wavefronts, so that we expect v'>v. 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. Thus, v'=v+v_o=v(1+v_o/v). Finally, the frequency must increase by exactly the same factor as the wave speed increased, in order to ensure that L'=L -> v'/f'=v/f. Putting everything together, we thus have: OBSERVER MOVING TOWARD SOURCE: L'=L; f'=f(1+v_o/v); v'=v+v_o."
Since "the moving observer sees a wave possessing the same wavelength (...) but a different frequency (...) to that seen by the stationary observer" and "the wave speed is simply increased by the observer speed, as we can see by jumping into the observer's frame of reference", that's the end of special relativity. Yet, for the sake of argument, let us try to save the Divine Theory by adding a life-belt:
"The moving observer sees a wave possessing the same wavelength" is WRONG for light waves. "The wave speed is simply increased by the observer speed, as we can see by jumping into the observer's frame of reference", but this is only valid for waves other than light waves. For light waves the frequency increase obeys the same formula (f'=f(1+v/c)=(c+v)/L) but the physical mechanism is entirely different. The speed of the light waves relative to the observer remains the same, c'=c, Divine Einstein, yes we all believe in relativity, relativity, relativity, so the increase in frequency can only be caused by a decrease in the wavelength: L'=c'/f'=c/f'=cL/(c+v).
How can the motion of the observer change the wavelength of the incoming light? Einsteiniana's zombies see no problem with that and believe that the motion of the observer gloriously changes the wavelength of any waves, not just light:
As a rule, Einsteiniana's hypnotists obey crimestop when it comes to explaining how the motion of the observer changes the wavelength:
http://ebooks.adelaide.edu.au/o/orwell/george/o79n/chapter2.9.html "Crimestop means the faculty of stopping short, as though by instinct, at the threshold of any dangerous thought. It includes the power of not grasping analogies, of failing to perceive logical errors, of misunderstanding the simplest arguments if they are inimical to Ingsoc, and of being bored or repelled by any train of thought which is capable of leading in a heretical direction. Crimestop, in short, means protective stupidity."
Yet there is a curious exception: the hypnotist Tom Roberts did explain the inexplicable (so far no brother Einsteinian has confirmed Roberts' discovery):
http://www.einstein-website.de/images/WestPortalEinstein.jpg "The Riverside Church in New York, west portal - upper line, second of right. In 1930, during a stay in New York, Albert Einstein and his wife visited the Riverside Church, too. During the detailed guided tour through the church Einstein was also shown the sculptures at the west portal. He was told that only one of the sculptures there represented a living person, and that was he himself. What Einstein is supposed to have thought in that moment when he heard that information and saw himself immortalized in stone? Contemporaries reported that he looked at the sculpture calmly and thoughtfully."
http://www.haverford.edu/physics/songs/divine.htm DIVINE EINSTEIN. "No-one's as dee-vine as Albert Einstein not Maxwell, Curie, or Bohr! His fame went glo-bell, he won the Nobel - He should have been given four! No-one's as dee-vine as Albert Einstein, Professor with brains galore! No-one could outshine Professor Einstein! He gave us special relativity, That's always made him a hero to me! No-one's as dee-vine as Albert Einstein, Professor in overdrive!"
http://www.youtube.com/watch?v=5PkLLXhONvQ We all believe in relativity, relativity, relativity. Yes we all believe in relativity, relativity, relativity. Everything is relative, even simultaneity, and soon Einstein's become a de facto physics deity. 'cos we all believe in relativity, relativity, relativity. We all believe in relativity, relativity, relativity. Yes we all believe in relativity, relativity, relativity.