Tachyon Helicity: Does Fermion Change Helicity?

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Suppose a Fermion having left-handed helicity travels faster than light between points A and B. Some observers see it traveling from A to B. Some observers see it traveling from B to A (backwards in time). Some observers see it traveling instantaneously (infinite speed). Do any any of these observers see it having right-handed helicity?
 
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We often get questions like these, which are basically asking, "If something which the laws of physics say is impossible happens, what do the laws of physics say will happen?" Since the premise is impossible, there is no answer.