And yet, you've still shown no post; except for one where an REer makes up his own version of the celestial gears.
Well, I went farther back into the archives. Here is, what I believe is, the original celestial gear post...
So, how exactly would one explain under FE theory that the star field could rotate in TWO directions at the same time? (not even including near the equator where the paths are perpendicular).
The stars spin in opposite directions over certain areas because that is what is observed. That's simply how the stars move. The turning of the "gears" keep each other generally moving in opposite directions. Not literal gears, but celestial systems rubbing against each other, affecting each other gravometrically.
Over the Flat Earth exists a number of stellar multiple systems. One is over Australia, one is over South America, and another is over the North Pole. Each have unique properties and keep each other in motion via gravitational gears. Formation was caused by a conglomerate of stellar interactions and the influence of the sun which makes a path through the teeth of these gears.
Here is an animation for visual effect:
The movement of these stars is what is attributed to the Focault Pendulum, Corolis Effect, gyroscopes, and other spinning phenomena. Bodies will be captured geometrically and propelled in the direction and apogee of the close stars overhead, which make one rotation around the hub per twenty four hours. The South Celestial Systems over the Southern Hemisphere are spinning in the opposite direction and so bodies will be deflected in the opposite direction.
As for why the stars spin in different directions over different parts of the earth; that's more of a hypothetical question. No true answer will ever be given because astronomy is completely observational. There is no experimentation in Astronomy. Any number of stellar models could be created to explain the movements of such intricate multiple systems.
I'm not trying to prove it is impossible, because that's not my idea. REers claim it's not possible for the Earth to be rotating. Thus, I'm waiting.
I seem to remember that the rotating Earth is one of the differences between FE and RE theory. RE believes that the Earth is a sphere rotating around an axis, and FE believes that the Earth is a plane with the Sun, Moon, stars and planets moving overhead. Having reread this thread, I am not quite sure where you are getting the argument that a RE wouldn't be rotating.