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The general Lorentz force : [tex]F=q(vXB+E)[/tex] is not Lorentz invariant . The reason is that the "magnetic" component [tex]F_b=qvXB[/tex] is not Lorentz invariant since it depends on particle speed. On the other hand, the Lorentz force can be recast in a "covariant" form, the proofs are non-trivial, i.e. they require quite a lot of of math.
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