Discuss the below:
Q: If electromagnetic wave equation for vacuum is
where W is either magnetic B or electric E field vector, show that by using Galilean transformation wave equation will be changed to
which has completely different form than given wave equation. Hence, Galilean transformation violates the first relativity postulate that all physics laws have the same form in all inertial reference frames.
Repeat the analysis but use Lorentz coordinate transformation, and show that in this case wave equation has the same form