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Old March 28th 11, 11:36 PM posted to sci.physics,sci.physics.relativity,sci.math,sci.astro
PD
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Default Fallacy of Relativistic Doppler Effect

On Mar 28, 11:24*am, Koobee Wublee wrote:
On Mar 28, 7:50 am, PD wrote:





On Mar 27, 11:28 pm, Koobee Wublee wrote:
It should be very clear at this stage the Doppler shift no matter how
you fudge it to be should agree with the energy transform as described
below.


** *f’ / f = (1 + [v] * [c]) / sqrt(1 – v^2 / c^2)


Where


** *[v] = Velocity vector between frames of f and f’
** *[c] = Velocity vector of light
** *[] * [] = dot product of two vectors


Under the transverse case,


** *f’ / f = 1 / sqrt(1 – v^2 / c^2)


Where


** *[v] * [c] = 0


This means SR predicts a blue Doppler shift in the transverse
*direction, and that is totally wrong. *shrug


Anyone with half a brain would attempt to execute a graceful
*retreat from that. *shrug


It smells like a bunch of sour ass losers with unsportsmanlike
*conducts. *shrug


The bottom line is that SR does not produce what is observed in
experiments. *Thus, SR is merely garbage. *Just how difficult can
that be? *shrug


So, just to recap, what you are saying is that, in your view, the
Doppler shift should agree with the derivation that YOU produced and
which does NOT agree with experiment, and that on the basis of this
result, relativity should be found fault with.


OK, let’s do a recap. *Are the following equations valid under the
Lorentz transform and SR?

** *f’ / f = (1 + [v] * [c]) / sqrt(1 – v^2 / c^2)


That equation is invalid, period.
You have a small problem with dimensions in that equation.
The fact that you derived an equation with dimensional problems should
tell you something about your derivation. If you believe that SR has
*also* produced equations with dimensional problems like this one,
perhaps you could point to some.


Where

** *[v] = Velocity vector between frames of f and f’
** *[c] = Velocity vector of light
** *[] * [] = dot product of two vectors

Under the transverse case,

** *f’ / f = 1 / sqrt(1 – v^2 / c^2)

Where

** *[v] * [c] = 0

If the answer is yes, WTF is the problem? *shrug

If the answer is no, what do you think is the correct equation
describing the transverse Doppler shift under SR?- Hide quoted text -

- Show quoted text -