The formula

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

says that, if the speed of light were constant, ANY frequency shift would be paired with an inversely proportional wavelength shift. NOT ANY frequency shift is paired with an inversely proportional wavelength shift, so the speed of light is VARIABLE:

"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

"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)...A Moving Observer. We will focus on sound waves in describing the Doppler effect, but it works for other waves too...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 case." https://youtube.com/watch?v=MHepfIIsKcE

Pentcho Valev https://twitter.com/pentcho_valev

"But this seems to be nonsense. How can it happen that the speed of light relative to an observer cannot be increased or decreased if that observer moves towards or away from a light beam? Einstein states that he wrestled with this problem over a lengthy period of time, to the point of despair." https://history.aip.org/exhibits/einstein/essay-einstein-relativity.htm

The constancy of the speed of light does not "seem" to be nonsense, as John Stachel misleadingly puts it. It IS nonsense, pure and simple. As the observer starts moving towards the light source, wavecrests start hitting him more frequently, which, in a world different from Einstein's schizophrenic world, can only mean that the speed of the wavecrests relative to the observer has increased:

https://www.youtube.com/watch?v=bg7O4rtlwEE

Pentcho Valev https://twitter.com/pentcho_valev

On Thursday, April 27, 2023 at 5:19:24 AM UTC-7, Pentcho Valev wrote:
> "But this seems to be nonsense. How can it happen that the speed of light relative to an observer cannot be increased or decreased if that observer moves towards or away from a light beam? Einstein states that he wrestled with this problem over a lengthy period of time, to the point of despair." https://history.aip.org/exhibits/einstein/essay-einstein-relativity.htm
>
> The constancy of the speed of light does not "seem" to be nonsense, as John Stachel misleadingly puts it. It IS nonsense, pure and simple. As the observer starts moving towards the light source, wavecrests start hitting him more frequently, which, in a world different from Einstein's schizophrenic world, can only mean that the speed of the wavecrests relative to the observer has increased:
>
> https://www.youtube.com/watch?v=bg7O4rtlwEE
>
> Pentcho Valev https://twitter.com/pentcho_valev

Einstein believed gravity slows time and motion...
c is contracted...