Den 08.02.2021 23:41, skrev AndreK:
On 30.01.2021 17:56, Pentcho Valev wrote:
By observing the two indicator lights, you can see for yourself that,
once more, there is a blue-shift - the pulse frequency measured at the
receiver is somewhat higher than the frequency with which the pulses
are sent out. This time, the distances between subsequent pulses are
not affected, but still there is a frequency shift
There is something very basic what you seemingly have not understood so
far. The Doppler effect is additional to relativistic effects. It is the dominant effect at low speeds of course in case that the source is approaching or leaving the target. Do not mismatch the effects. I
recommend to read a book about relativity and make the exercises. Then
read about Doppler effects and make the exercises. Then combine both
effects. Then talk and write about it.
I see you now know about Pentcho Valev. :-)
But there is an interesting point in what he says.
According to the Galilean transformation, frequency
is Doppler shifted, wavelength is not.
And this will with extremely good approximation
be valid for sound.
But what about light?
It is an empirical fact that the Doppler shift of frequency
and wavelength always are the inverse of each other.
(Pentcho Valev doesn't know this, and there is no point in telling him.)
We know that for any wave, we have per definition:
f*lambda = w,
where w is the speed of the wave relative to
the inertial frame of reference were the frequency
is f and the wavelength is lambda.
Let's call this inertial frame K.
Let the inertial frame K' be moving at some speed relative to K.
In K:
f*lambda = w
In K':
f' = f*D
lambda' = lambda/D
f'*lambda' = f*D*lambda/D = f*lambda = w
Conclusion:
The empirical fact that the Doppler shift of frequency and
wavelength always are the inverse of each other proves that
the speed of light is invariant (in vacuum).
It doesn't say what the invariant value is, of course,
but we know that it is c.
And the only transform that predicts that the Doppler shift
of frequency and wavelength are the inverse of each other
is the Lorentz transform.
--
Paul
https://paulba.no/
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