As a condition, hyperspace translates objects as a phased tachyon wave, which once collapsed restores the objects to their meson composition instantaneously.
A charged tachyon traveling in a vacuum therefore undergoes a constant proper time acceleration and, by necessity, its worldline forms a hyperbola in space-time.
Hypothetical superluminal particles called tachyons would have a spacelike trajectory, and thus move backward in time according to observers in some reference frames.