Quote:
Originally Posted by Eratosthenes
The wave equation can be reduced to first order wave equation terms traveling in opposite directions which clearly shows propagation at a constant c
.....provided μ0 and ϵ0 are constant 
When do μ0 and ϵ0 become non constant tensors?
many people prefer to state that the speed of light is invariant under a Lorentz transformation.
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I note the blatant use of Gish Gallop tactics here.
It's no coincidence that μ0 and ϵ0 are termed physical constants so why should they vary?
The speed of light has been measured for over 300 years and no one has found the speed of light to be dependant on the motion of the observer, so why should it not be invariant under a Lorentz transformation?
Since you are the one making the claims the onus is on you to make the case.
Show me
(1) The theoretical aspects that show μ0 and ϵ0 are not constant and the speed of light is not invariant.
(2) Supporting experimental evidence.
No quote mining please.
Steven