Tachyons in an expanding space-time

Abstract

Superluminal signal transfer is introduced in the context of an absolute frame of reference provided by the galactic background. The receding galaxies constitute a reference frame, a frame of absolute rest, in which the energy of tachyons (faster-than-light particles) can be defined as a positive definite quantity. The theory presented is essentially covariant, but not relativistic. The causality problem of superluminal signal transfer, which arises in relativistic theories, can be completely avoided. Tachyons are studied in a Robertson-Walker universe with linear expansion factor and negatively curved three-space. The tachyonic dynamics is defined, and it is pointed out how tachyonic events appear to observers who are uniformly moving in the frame of absolute rest. The consequences that the space expansion has on tachyons, e.g. redoubling effects, are discussed.