Proving Particle Velocity Exceeds c in All Inertial Systems

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martyf
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Homework Statement



Show that if an hypothetical particle has v>c in a inertial system , v>c in any other
inertial system


Homework Equations





The Attempt at a Solution

 
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Take a space-like four-velocity and apply a Lorentz transformation to it. Then show that the result is also space-like.