"How do Maxwell's equations predict that the speed of light is constant"
https://twitter.com/fermatslibrary/status/1613538798750646273
The derivation says nothing about whether or not the speed of light relative to an observer varies with the speed of that observer. Maxwell believed that it did vary:
John Norton: "[Maxwell's] theory allows light to slow and be frozen in the frame of reference of a sufficiently rapidly moving observer."
http://www.pitt.edu/~jdnorton/papers/Chasing.pdf
The speed of light relative to an observer OBVIOUSLY varies with the speed of the observer. Assume that a light source emits equidistant pulses and an observer starts moving towards the source:
https://youtube.com/watch?v=bg7O4rtlwEE
The speed of the light pulses relative to the stationary observer is
c = df
where d is the distance between subsequent pulses and f is the frequency at the stationary observer. The speed of the pulses relative to the moving observer is
c'= df' > c
where f' > f is the frequency at the moving observer.
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