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Maxwell relations are invariant under which transformation

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In classical kinematics, the total displacement x in a given frame R is the sum of the relative displacement x' in frame R' and of the distance between the two origins x−x'. If v is the relative velocity of R' relative to R, the transformation is: x=x'+vt, or x'=x−vt. This relationship is linear for a constant v, when R and R' are Galilean frames of reference.

In short, at the end of the nineteenth century, Lorentz and other scientists and physicists elaborated new coordinate transformation equations to replace the Galilean transformations in order to interpret recent physical experiments more accurately, attempting to give better explanations of the laws of physics and electromagnetism.

Voigt developed in 1887 a transformation in relation the Doppler effect and an incompressible medium. The paper was entitled On the Principle of Doppler.

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