Pentcho Valev
2016-01-13 22:54:44 UTC
According to the following interpretations of the Doppler effect, for any waves, when the observer starts moving towards the wave source, the speed of the waves relative to the observer increases, in violation of Einstein's relativity:
"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/courses/summer2011/session1/physics2c/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/teaching/315/Waveshtml/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-sp06/class19/class19_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
"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/courses/summer2011/session1/physics2c/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/teaching/315/Waveshtml/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-sp06/class19/class19_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