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Einstein relativity is wrong
(Fig.1) A light source moving in x direction emits light in y direction toward K observer, whose light frequency is slightly lower (= wavelength is longer ). ← This transverse Doppler effect is just a classical Doppler effect irrelevant to Einstein
In the upper Fig.1, a light source is moving in x direction at a velocity v, and emits light in y direction toward K observer at rest.
This light frequency observed by K is said to be a little lower (= light wavelength λ is a little longer = red-shifted ) than the original light frequency (or wavelength ), which is called transverse Doppler effect.
Textbooks often wrongly explain that Einstein (unphysical) relativistic time dilation causes the lower light frequency (= light oscillating slower due to time dilation ? ) emitted by the moving light source (= moving clock runs slower according to special relativity, this-lower-transverse Doppler effect, this-lower ).
↑ But seen by the moving light source, the observer's K clock at rest appears to be moving and running slower, which should measure higher frequency, which is (twin) paradox, showing Einstein relativity is wrong.
This transverse transverse effect can be naturally explained as one of the ordinary classical Doppler effects (= irrelevant to Einstein relativity ) of the light source just passing at the point closest to the observer who can detect the light frequency transition from shorter wavelength (= blue shift ) to a little longer wavelength (= red shift ) corresponding to transverse Doppler effect.
(Fig.2) A light source just passing the closest point emits light whose wavelength is slightly elongated due to ordinary Doppler effect.
In Fig.2, a light source moving in x direction emits light in y direction toward K observer.
↑ This light's wavelength (= λ' ) observed by K is slightly elongated than the original light wavelength (= λ ) by the light source moving a little farther away from the point closest to K, as shown in the upper Fig.2.
As a result, the light frequency (= ν' = c/λ', c is light speed ) observed by K is a little lower than the original frequency (= ν0 ), which is transverse Doppler effect.
As shown here, this transverse Doppler effect can be naturally explained by the ordinary classical Doppler effect (= light emitted by the light source slightly moving away ) irrelevant to the paradoxical Einstein relativistic time dilation.
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