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Analysis of electromagnetic planewave propagation in a medium which is aspatiotemporally homogeneous, temporally nonlocal, isotropic, chiral medium ina co-moving frame of reference shows that the medium is both spatially andtemporally nonlocal with respect to all non-co-moving inertial frames ofreference. Using the Lorentz transformations of electric and magnetic fields,we show that plane waves which have positive phase velocity in the co-movingframe of reference can have negative phase velocity in certain non-co-movingframes of reference. Similarly, plane waves which have negative phase velocityin the co-moving frame can have positive phase velocity in certainnon-co-moving frames.

Negative- and positive-phase-velocity propagation in an isotropic chiral medium moving at constant velocity