Multiple experiments have shown strong evidence for precognition in several different ways. One of them comes in the form of activity within the heart and the brain responding to events before they even happen.
Do we have extra human capacities we are unaware of? Perhaps we can learn them, develop them, and use them for good. Perhaps when the human race is ready, we will start learning more.
Is precognition real? There are many examples suggesting that yes, it is. The remote viewing program conducted by the CIA in conjunction with Stanford University was a good example of that. After its declassification in 1995, or at least partial declassification, the Department of Defense and those involved revealed an exceptionally high success rate:
To summarize, over the years, the back-and-forth criticism of protocols, refinement of methods, and successful replication of this type of remote viewing in independent laboratories has yielded considerable scientific evidence for the reality of the (remote viewing) phenomenon. Adding to the strength of these results was the discovery that a growing number of individuals could be found to demonstrate high-quality remote viewing, often to their own surprise… The development of this