DOPPLER AND EINSTEIN INCOMPATIBLE

https://www.physics.rutgers.edu/anal...i/doppler.html
The State University of New Jersey: "For the simplest derivation of the Doppler shift formula, we will examine the case where our observer is moving with velocity v towards a stationary source that generates waves with wavelength Lo. (...) When both the source and the observer are standing still, in time "t", a wave will traverse a distance of ct. If the wavelength of the signal (sound, water, light, etc.) is Lo, then the observer will see (or hear) "N" waves pass by, where N = ct/Lo. If however, the observer is moving toward the source at a speed of v, he will travel an additional distance of d = vt. This means that we would now encounter an additional number of waves: DeltaN = vt/Lo, for a total of DeltaN + N = N' waves."

In a time t the number of light waves which reach the moving observer are those in a distance N'Lo = (c + v)t. Accordingly, the speed of the light relative to the moving observer is:

c' = distance/time = (c + v)t/t = c + v,

in violation of Einstein's relativity.

Pentcho Valev

http://rockpile.phys.virginia.edu/mod04/mod34.pdf
Paul Fendley: "Now let's see what this does to the frequency of the light. We know that even without special relativity, observers moving at different velocities measure different frequencies. (...) This is called the Doppler shift, and for small relative velocity v it is easy to show that the frequency shifts from f to f(1+v/c) (it goes up heading toward you, down away from you). There are relativistic corrections, but these are negligible here.."

That is, if the frequency measured by a stationary observer is f=c/L (L is the wavelength), the frequency measured by an observer moving towards the light source with speed v is:

f' = f(1+v/c) = (c/L)(1+v/c) = (c+v)/L = c'/L

where c'=c+v is the (variable!) speed of the light waves relative to the moving observer:

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."

Clearly the frequency shift from f to f'=(c+v)/L is caused by a shift in the speed of the light relative to the observer (from c to c'=c+v), in violation of special relativity.

Pentcho Valev