Schrodinger's Coin - Quantum Multiverse Theory in Bioshock Infinite

Bioshock Infinite takes us through Columbia where things aren't exactly right... And then we find Elizabeth who can tear rifts in reality. Booker, catch! But... how stable is this plot on real world physics? Strangely, Bioshock Infinite gets a lot right on the underlying quantum mechanics of the world. And it gets one very important thing wrong.