The Matrix is a system we "humans" are the battery to the Matrix so that means the more people in the matrix the more power it gets. However the real world is enslaved by machines and theres a war between human and machine. The One(Neo) is the only person who can end this war.
When someone walks in on a couple engaged in the exchanging of tongues and possibly bodily fluids, the partner on top performs a Neo like move to quickly dismount his or her partner to avoid a possibly embarrassing situation.
Dude, I totally saw Skyler Matrix his way off of Tina, I think they may have been doing the dirty.