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Pushoam
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Two very similar threads were merged. Some posts may seem redundant
For using Galilean transformation, I have to assume that speed of light w.r.t. ether frame is c.Dale said:Why don't you try it out yourself. Write down a simple plane wave. Confirm that it satisfies all of Maxwell's equations in vacuum. Use the Galilean transformation. Check if it still satisfies Maxwell's equations in vacuum.
W.r.t. ether frame,
E = E0 eik(x-ct)
W.r.t. S' frame which is moving with speed v along the direction of propagation of light,
E' = E0 eik(x'-c't')
Under Galilean transformation,
x' = x-vt,
t' = t,
c' = c -v
So, (x'-c't') = x -ct
thus, E' = E
i.e. under the Galilean transformation, em wave equation is invariant.
Is this correct?
I am asking it here instead of creating a new thread, because I think the topic is similar.
If it is not allowed, sorry for it.