Doppler Effect Proves Variable Speed of Light

When the initially stationary observer starts moving towards the light source with speed v, the frequency he measures becomes

f' = (c+v)/λ

http://www.hep.man.ac.uk/u/roger/PHY.../lecture18.pdf
"Moving Observer. Now suppose the source is fixed but the observer is moving towards the source, with speed v. In time t, ct/λ waves pass a fixed point. A moving point adds another vt/λ. So f'=(c+v)/λ."

On the other hand, the speed of the light relative to the moving observer is

c' = λf'

Combining the two formulas gives

c' = c+v

in violation of Einstein's relativity.

Barlow's lecture quoted above introduces relativistic corrections (time dilation) and the frequency measured by the moving observer becomes

f' = γ(c+v)/λ

The speed of the light relative to the moving observer is, accordingly,

c' = λf' = γ(c+v)

Clearly, Einstein's relativity is violated even if the relativistic corrections are taken into account.

In order to prevent Divine Albert's Divine Theory from collapsing, Einsteinians avoid the dangerous formula f'=γ(c+v)/λ and teach the equivalent relation

f'/f = sqrt((1+v/c)/(1-v/c))

where the variation of the speed of light is safely hidden.

Pentcho Valev

When the initially stationary light source starts moving towards the stationary observer, does the wavelength of the emitted light become shorter? Einsteinians teach that, for all kinds of waves (light waves included), the wavefronts bunch up (the wavelength decreases) in front of a wave source which starts moving towards the observer:

http://www.einstein-online.info/imag...ler_static.gif (stationary source)

http://www.einstein-online.info/imag...ource_blue.gif (moving source)

https://www.youtube.com/watch?v=h4OnBYrbCjY
"The Doppler Effect: what does motion do to waves?"

http://www.fisica.net/relatividade/s...ry_of_time.pdf
Stephen Hawking, "A Brief History of Time", Chapter 3: "Now imagine a source of light at a constant distance from us, such as a star, emitting waves of light at a constant wavelength. Obviously the wavelength of the waves we receive will be the same as the wavelength at which they are emitted (the gravitational field of the galaxy will not be large enough to have a significant effect). Suppose now that the source starts moving toward us. When the source emits the next wave crest it will be nearer to us, so the distance between wave crests will be smaller than when the star was stationary."

For waves other than light waves the moving source does indeed emit shorter wavelength, and the reason is that the speed of the waves relative to the source decreases when the source starts moving. The shortening is measurable in the frame of the source - the wavelength is measured to be λ when the source is stationary, and then it is measured to be λ' (λλ') when the source is moving.

For light waves this is obviously not the case - the speed of the light relative to the source does not change when the source starts moving. In the frame of the source the wavelength is measured to be λ when the source is stationary, and then it is measured to be λ again when the source starts moving, which means that the wavefronts DO NOT BUNCH UP in front of the moving source.

Conclusion: The moving light source does not emit shorter wavelength. Rather, it emits faster light. If the source starts moving towards the stationary observer with speed v, the speed of the light relative to the observer shifts from c to c'=c+v, as predicted by Newton's emission theory of light and in violation of Einstein's relativity. Accordingly, the frequency measured by the stationary observer shifts from f=c/λ to f'=c'/λ.

Pentcho Valev