Force Law Transformation: Implications for Hooke's Law?

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The Lorentz force transformation (or the transformation of d(mv)/dt) is well known. Should all force laws (Hooke, Lorentz, etc.) transform like F? If so, what does this suggest about the Spring Constant in Hooke's Law?
 
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DaleSpam said:
Maybe these will help:
http://www.physics.princeton.edu/~mcdonald/examples/mechanics/gron_ajp_49_28_81.pdf
http://arxiv.org/abs/gr-qc/9906094v1

Many thanks. I have printed out the two papers and will study them at length.
 
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