The formula

(frequency) = (speed of light)/(wavelength)

says that, if in some scenario the wavelength remains constant, frequency and speed of light vary proportionally and Einstein's physics crumbles. This is obvious in the Doppler-moving-observer scenario (actually, the wavelength of light remains constant
in ANY scenario):

"Thus, the moving observer sees a wave possessing the same wavelength...but a different frequency...to that seen by the stationary observer." http://farside.ph.utexas.edu/teaching/315/Waveshtml/node41.html

Max Planck Institute for Gravitational Physics: "You can see for yourself that, once more, there is a blue-shift - the pulse frequency measured at the receiver is somewhat higher than the frequency with which the pulses are sent out. This time, the
distances between subsequent pulses are not affected, but still there is a frequency shift." https://www.einstein-online.info/en/spotlight/doppler/

"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://a-levelphysicstutor.com/wav-doppler.php

"The Doppler effect is the shift in frequency of a wave that occurs when the wave source, or the detector of the wave, is moving. Applications of the Doppler effect range from medical tests using ultrasound to radar detectors and astronomy (with
electromagnetic waves)...Moving Observer. 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." http://physics.bu.edu/~redner/211-sp06/class19/class19_doppler.html

"The wavelength is staying the same in this [moving observer] case." https://www.youtube.com/watch?v=MHepfIIsKcE

Pentcho Valev https://twitter.com/pentcho_valev

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