The Obvious Falsehood of Einstein's Relativity

It is extremely easy to show that the speed of light relative to the observer varies with the speed of the observer, in violation of Einstein's relativity:

http://www.damtp.cam.ac.uk/user/tong/concepts/gr.pdf
David Tong: "The rocket has height h. It starts from rest, and moves with constant acceleration g. Light emitted from the top of the rocket is received below. By this time, the rocket is travelling at speed v=gt=gh/c. This gives rise to the Doppler effect. (Neglecting relativistic effects). f'=f(1+v/c)=f(1+gh/c^2), where f' is received frequency and f is emitted frequency."

Since f=c/λ (λ is the wavelength), we have

f' = f(1+v/c) = (c+v)/λ

where c'=c+v is the speed of the light relative to the receiver (the bottom of the rocket).

Clearly the speed of light relative to the observer (receiver) varies with the speed of the observer, in violation of Einstein's relativity. Actually any correct interpretation of the Doppler effect (moving observer) proves, explicitly or implicitly, this variation:

http://www.youtube.com/watch?v=bg7O4rtlwEE
"Doppler effect - when an observer moves towards a stationary source. ...the velocity of the wave relative to the observer is faster than that when it is still."

http://physics.ucsd.edu/students/cou...cs2c/Waves.pdf
"Doppler effect (...) Let u be speed of source or observer (...) Doppler Shift: Moving Observer. Shift in frequency only, wavelength does not change. Speed observed = v+u (...) Observed frequency shift f'=f(1±u/v)"

http://farside.ph.utexas.edu/teachin...ml/node41.html
"Thus, the moving observer sees a wave possessing the same wavelength (...) but a different frequency (...) to that seen by the stationary observer."

http://a-levelphysicstutor.com/wav-doppler.php
"vO is the velocity of an observer moving towards the source. This velocity is independent of the motion of the source. Hence, the velocity of waves relative to the observer is c + vO. (...) The motion of an observer does not alter the wavelength. The increase in frequency is a result of the observer encountering more wavelengths in a given time."

http://physics.bu.edu/~redner/211-sp...9_doppler.html
"Let's say you, the observer, now move toward the source with velocity vO. You encounter more waves per unit time than you did before. Relative to you, the waves travel at a higher speed: v'=v+vO. The frequency of the waves you detect is higher, and is given by: f'=v'/λ=(v+vO)/λ."

Pentcho Valev

Any interpretation of the Doppler effect (moving observer) proves, explicitly or implicitly, that the speed of light relative to the observer varies with the speed of the observer, in violation of Einstein's relativity:

http://www.hep.man.ac.uk/u/roger/PHY.../lecture18.pdf
Roger Barlow, Professor of Particle Physics: "The Doppler effect - changes in frequencies when sources or observers are in motion - is familiar to anyone who has stood at the roadside and watched (and listened) to the cars go by. It applies to all types of wave, not just sound. (...) 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. (...) Relativistic Doppler Effect (...) If the source is regarded as fixed and the observer is moving, then the observer's clock runs slow. They will measure time intervals as being shorter than they are in the rest frame of the source, and so they will measure frequencies as being higher, again by a γ factor: f'=(1+v/c)γf..."

That is, according to Roger Barlow,

f' = (c+v)/λ

when v is low (relativistic corrections are negligible), and

f' = (1+v/c)γf = γ(c+v)/λ

when v is high. Accordingly, the speed of the light relative to the moving observer is

c' = c+v

when v is low, and

c' = γ(c+v)

when v is high. Einstein's relativity is violated in either case.

Pentcho Valev