"How do Maxwell's equations predict that the speed of light is constant"
View: 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:
View: 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.
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:
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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