The Paul Newman Paradox

Imagine a wormhole with a bent U-shape, in which a billiards ball shot into one end would deposit the ball through the other end, in a way that the ball crossed over its original path.

Now imagine that, while navigating the wormhole, the ball traveled such a distance and such a speed that it actually exited the wormhole before it entered it. The field of theoretical physics is largely unanimous that this is possible.

But imagine that, while the ball exiting the wormhole crosses paths with the ball entering the wormhole, it actually collides with itself, knocking itself off course so that it never enters the wormhole at all. This way the balls will eventually come to rest and sit next to each other, which is to say, each of the balls will sit next to itself. The field of theoretical physics is largely unanimous that, at the scale of billiard balls, this is not possible.

Work that one out.