Is it theoretically possible to travel faster than light while going through space? Considering that there's no upward limit on speed due to a lack of gravity or friction, if a rocket supposedly had infinite fuel and was thrusting constantly, the ship would keep going faster and faster, wouldn't it? Eventually it would reach light speed, or faster. It might take a while, but what in space would be stopping it, assuming it doesn't run across any celestial bodies with gravitational pulls.