Okay, as long as I've got you on the line... :)
What's supposed to happen when negative and positive mass collide?
If I throw a tennis ball at a wall, it bounces off (and the wall recoils imperceptibly). If I throw a negative tennis ball at a wall -- or throw it away, causing it to move toward the wall, whatever -- what happens when it hits? It seems like it would try to "recoil" in the same direction it was traveling, maybe even giving the wall a "tug" instead of a "push" when it hit. \
Well, I already said negative matter is weird.
Robert Forward proposed that when positive matter and negative matter touch, they cancel each other out, and vanish:
(+) + (-) --> 0 (vacuum)
The mass cancels, and you're left with nothing there.
Unfortunately, we know that this can't happen, because if it did, then the opposite reaction could occur:
0 --> (+) + (-)
--vacuum spontaneously generating pairs of positive and negative mass. If this could happen, it would happen, everywhere, all the time. But it doesn't. So there are rules (presumably conservation laws) forbidding this from occurring.
But it can't move forward, because presumably negative and positive matter can't simply interpenetrate -- or can they?
Of course they can interpenetrate. The reason that you can't walk through a brick wall is because of Pauli exclusion: the electrons in your body can't occupy the same place (the same quantum state) as the electrons in the wall. But, whatever negative matter is, it's not electrons (nor any of the other particles that make up "solid" matter). So, yes, it would pass right through ordinary matter.