The science
What Neuroscience Says, And Doesn't Say
Modern science offers no mechanism for precognition, there is no known way for information to travel backwards through time. Most researchers explain apparently prophetic dreams through a combination of confirmation bias (we remember the hits and forget the misses), pattern recognition (the brain is extraordinarily good at detecting trends and projecting outcomes), and statistical inevitability (with 8 billion people dreaming every night, some dreams will coincidentally match future events).
Deirdre Barrett's research at Harvard suggests that dreams excel at creative problem-solving, the dreaming brain can connect dots that the waking mind cannot. What feels like prophecy may be pattern recognition operating at a depth unavailable to conscious thought.
Yet the question remains open. Jung coined the term synchronicity, "meaningful coincidence", specifically to describe events like prophetic dreams that resist causal explanation but carry deep personal significance. He did not claim they proved precognition. He said they proved that meaning is not limited to causality.