Abstract
It is shown that (a) both the dispersion relations between the mean frequency omega/sub 0/ and the mean wave number k/sub 0/ are invariant under the Lorentz transformation; and (b) the relativistic Doppler effects on omega/sub 0/ and k/sub 0/ differ. In the suboptic packet there is anomalous red shift in the mean wave number k/sub 0/' received from a source receding with speed v:k/sub 0/' changes sign through zero as v goes through the value v/sub g/, the mean group velocity in the packet. In the superoptic packet the anomalous red shift is in the mean frequency omega/sub 0/' which reverses sign through zero as v goes through the value v/sub p/, the mean phase velocity in the packet. This last finding indicates a blackout of the superoptic signal when propagated toward a receiver moving away from the source at a speed greater than v/sub p/. There is no violation of causality involved, and the final conclusion of the paper is that it is not a fundamental axiom of special relativity, as usually believed, to deny that information can be transmitted at speeds greater than c.
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