I'm still trying to make heads or tails of it, however all I've figured out is that they can happen at any time, and that they connect this world to other worlds-- like ours.

[ or at least, that's what she had pieced together. it was all so complex... ]

But Hibiki is right- if the confluences gives you some sort of ability, they usually appear sooner rather than later. But for the pendants... both of them do work. I've opted to use Airgetlam as my main one, and Gungnir only in emergencies.