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You walk along the fence - relative to you, the posts have speed c and the frequency you measure is f=c/L, where L is the distance between the posts..
Now you start running along the fence and your speed increases by v. Relative to you, the speed of the posts shifts from c to c'=c+v. This shift in the speed of the posts relative to you causes the frequency you measure to shift from f=c/L to f'=c'/L=(c+v)/L. The above scenario characterizes a sane world. In Divine Albert's world there is a special fence such that the following scenario sounds reasonable: You walk along the special fence - relative to you, the posts have speed c and the frequency you measure is f=c/L, where L is the distance between the posts. Now you start running along the special fence and your speed increases by v.. Relative to you, the speed of the posts does not shift at all (c'=c, Divine Einstein, yes we all believe in relativity, relativity, relativity). Yet something else, not the shift in the speed of the posts relative to you, causes the frequency you measure to shift in exactly the same way - from f=c/L to f'=(c+v)/L. The equation c'=c (Divine Einstein, yes we all believe in relativity, relativity, relativity) fully defines Divine Albert's world, just as the equation 2+2=5 fully defines Big Brother's world: http://ebooks.adelaide.edu.au/o/orwe...hapter1.7.html "In the end the Party would announce that two and two made five, and you would have to believe it. It was inevitable that they should make that claim sooner or later: the logic of their position demanded it. Not merely the validity of experience, but the very existence of external reality, was tacitly denied by their philosophy. The heresy of heresies was common sense. And what was terrifying was not that they would kill you for thinking otherwise, but that they might be right. For, after all, how do we know that two and two make four? Or that the force of gravity works? Or that the past is unchangeable? If both the past and the external world exist only in the mind, and if the mind itself is controllable what then?" Curiously, sane scientists (there are some left) in Divine Albert's world continue to derive the frequency shift (from f=c/L to f'=(c+v)/L) from the implicit (sometimes explicit) assumption that the speed of the posts relative to the observer shifts from c to c'=c+v: http://www.hep.man.ac.uk/u/roger/PHY.../lecture18.pdf Roger Barlow, Professor of Particle Physics: "The Doppler effect - changes in frequencies when sources or observers are in motion - is familiar to anyone who has stood at the roadside and watched (and listened) to the cars go by. It applies to all types of wave, not just sound. (...) 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://physics.bu.edu/~redner/211-sp...9_doppler.html Professor 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://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.donbosco-tournai.be/expo-...fetDoppler.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 !" Pentcho Valev |
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