Extraordinary claims don't come much more extraordinary than this: events that haven't yet happened can influence our behaviour.

Parapsychologists have made outlandish claims about precognition – knowledge of unpredictable future events – for years. But the fringe phenomenon is about to get a mainstream airing: a paper providing evidence for its existence has been accepted for publication by the leading social psychology journal.

What's more, sceptical psychologists who have pored over a preprint of the paper say they can't find any significant flaws. "My personal view is that this is ridiculous and can't be true," says Joachim Krueger of Brown University in Providence, Rhode Island, who has blogged about the work on the Psychology Today website. "Going after the methodology and the experimental design is the first line of attack. But frankly, I didn't see anything. Everything seemed to be in good order."