Obviously Inconstant Speed of Light

Einsteinians teach that the wavefronts bunch up (the wavelength decreases) in front of a light 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."

Actually the wavefronts don't bunch up - the wavelength emitted by the moving source is the same as the wavelength emitted by the stationary source:

http://newt.phys.unsw.edu.au/einstei...eird_logic.htm
"In our animation, Zoe turns on the headlights of her space ship. She measures the speed of light from her headlights as c with respect to her."

That is, moving Zoe measures exactly the same wavelength, λ=c/f, as stationary Zoe.

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 observer shifts from f=c/λ to f'=c'/λ, where λ is the wavelength and f is the frequency measured when the source is stationary.

Pentcho Valev

https://www.youtube.com/watch?v=MBuLTzj3CWA
"The Relativistic Doppler Effect - Video"

At 4:27 Brian Greene obtains

Δt' = λ / γ(c-v)

where Δt' is the time it takes the next wavecrest to hit the moving observer (as measured by the observer), λ is the wavelength, γ is the Lorentz factor, c is the speed of the light relative to the stationary source and v is the speed at which the observer moves away from the source.

Clearly the speed of the light waves relative to the moving observer is

c' = λ / Δt' = γ(c-v)

in violation of Einstein's relativity.

Needless to say, the introduction of the Lorentz factor is incorrect - the true speed of the light relative to the moving observer is

c' = c-v

Still Brian Greene's result, c'=γ(c-v), although containing the incorrect Lorentz factor, is instructive. Einsteinians can see that the relativistic corrections (the Lorentz factor) don't save Einstein's relativity - the speed of the light (relative to the observer) remains variable.

Pentcho Valev