# Is Lorentz Invariance necessary for Maxwell Equations?

An example shows that Maxwell Equations do not need Galilean invariance, therefore Lorentz Invariance is not needed for Maxwell Equations. The example: In a train moving at a constant speed relative the earth, there are electrical charges static relative to the train. In the train, an observer can only observe the electrical field, no magnetic field can be observed. Out of the train, on the nearby ground, an observer can observe the electrical field and magnetic field produced by the electrical charges in the train. This example showed that in different related inertia systems, the same electric and magnetic experiments can show different results. These different results are not mere space dimension difference caused by the relative movements of the inertial frames. These difference is physical electromagnetic property difference. Maxwell Equations do not need to have Galilean invariance which is a space dimension invariance. Maxwell's equations need to be different in different related inertial frames in order to correctly describe a same electromagnetic experiment observed in the different inertial frames. Therefore Lorentz Invariance is not needed for Maxwell Equations. For the same reason the Relativity theory is not needed. Because Lorentz transform tries to use space dimension change to mask the physical electromagnetic property difference in Maxwell Equations.

• the maxwell equations have travelling waves as a solution. these waves have a velocity. let's call it $c$ (weird choice). in which reference frame do I observe $c$ as the velocity of this wave? – Bort Feb 11 '16 at 13:30
• Whichever frame you choose to apply Maxwell equations. – Charlie Jiang Feb 12 '16 at 11:50
• so how are velocities added then? I observe that in my everyday life velocities are fairly additive, but a light pulse in a moving zeppelin (not a train, for extra flavour) moves with c regardless of the velocity. btw: this is my last comment on this matter, meant to give your thinking guidance. For what its worth: 1) equality of c suffices to establish the lorentz transformation 2) the maxwell equations were derived without lorentz invariance but are lorentz invariant. you can treat that as a weird coincidence or try to learn something from it – Bort Feb 12 '16 at 12:28