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Topic: THE ACHILLES HEEL OF SPECIAL RELATIVITY
Replies: 5   Last Post: Apr 23, 2013 4:49 PM

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 Pentcho Valev Posts: 6,212 Registered: 12/13/04
Re: THE ACHILLES HEEL OF SPECIAL RELATIVITY
Posted: Apr 20, 2013 5:22 PM

SOUND WAVES:

1. Both source and observer at rest:

speed of waves relative to the observer: c

frequency the observer measures: f=c/L

wavelength passing the observer: L

2. Observer moving towards the source with speed v:

speed of waves relative to the observer: c'=c+v

frequency the observer measures: f'=(c+v)/L

wavelength passing the observer: L'=L

LIGHT WAVES:

1. Both source and observer at rest:

speed of waves relative to the observer: c

frequency the observer measures: f=c/L

wavelength passing the observer: L

2. Observer moving towards the source with speed v:

speed of waves relative to the observer: c'=???

frequency the observer measures: f'=(c+v)/L

wavelength passing the observer: L'=???

Clever Einsteinians know that the correct answers are c'=c+v and L'=L, which is fatal for special relativity of course. They also know that the alternative that saves special relativity, c'=c and L'=cL/(c+v), is so obviously silly that it could be a danger even in Divine Albert's totalitarian world. So the absurd variation of the wavelength with the speed of the observer, L'=cL/(c+v), is usually not discussed in Einsteiniana but still exceptions can be found:

http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/big_bang_observed/index.html
John Norton: "Here's a light wave and an observer. If the observer were to hurry towards the source of the light, the observer would now pass wavecrests more frequently than the resting observer. That would mean that moving observer would find the frequency of the light to have increased (AND CORRESPONDINGLY FOR THE WAVELENGTH - THE DISTANCE BETWEEN CRESTS - TO HAVE DECREASED)."

http://lewebpedagogique.com/physique/files/p8044_37aa292833de8bd2b5c4583ffb76cf69p866_a910dac1b2c66fe5536711394c0cd778doppler_p.gif

Pentcho Valev

Date Subject Author
4/16/13 Pentcho Valev
4/19/13 Pentcho Valev
4/20/13 Pentcho Valev
4/22/13 Pentcho Valev
4/23/13 Pentcho Valev
4/23/13 Pentcho Valev