I had a lengthy Facebook discussion with some of my friends from physics regarding this. The conclusion was that this comic assumes that there are absolute spatial coordinates which are sun-centric. However, in reality, the (more or less) inertial frame of the Earth is no less absolute than the sun-centric system, so there is no reason to assume that you wouldn’t reappear in the frame you left (i.e. the Earth’s), rather than moving to a new one (which is the sun-centric frame).
[Via I f* love science]