The Professor (and by extension the writers!) invented the very first time travel machine that convincingly avoids paradoxes by design (S07E07) -- limited to the fictional universes I know of.
It does this by only travelling forward in time in what appears almost as quickly as you want. It is implied that the universe happens to inevitably always repeat its history after it eventually collapses. Thus, if you want to travel "back in time", you simply wait for the next iteration of an universe (leaving your original iteration for good) and stop at the desired point in time.
Beautiful paradox resolving: There are no paradoxes to begin with.
Anyhow, in Bender's Big Score the time spheres (which appear to be limited in time-travel going backwards in time) have the feature to be paradox-resolving, too.
So, I was wondering if there is a relation between these technologies, although they seem to have different effects;
The Professor's ship makes you actually disappear from your time line, so the people in your original universe, will never see you again (unless you travel into a future where they are still alive) while the spheres appear to warp you into the past of your very own time line. Nonetheless, what we see on screen, may be from the perspective of the time-traveller (i.e. mostly Bender and Fry). From their perspective, the Professor's machine is functionally indistinguishable from the time spheres, if you pre-program the machine to jump at maximum speed to a predetermined point in the past.
Is there a flaw in this theory? Can somebody confirm this?