If I'm reading this article correctly, it claims that there is statistically significant evidence that:

1) Precognition (at least when it comes to guessing where erotic photos will show up on a computer screen) is a real phenomenon

2) Precognition abilities are related to changes in the Earth's magnetic field

This certainly sounds hard to believe, but IF these experiments do turn out to be repeatable in the future (that remains to be seen), what effect would this have on our fundamental understanding of how the world works? It's pretty mind-blowing.