A study at New York City’s Weill Cornell Medical Center, called AWARE (AWAreness during REsuscitation) will spend the next 3 years investigating out-of-body experiences that people have when they die .  I imagine many scientists would have trouble facing their beliefs if science proved that out-of-body experiences were real, and not a trick of the brain.  From the article:

What was your first interview like with someone who had reported an out-of-body experience?

Eye-opening and very humbling. Because what you see is that, first of all, they are completely genuine people who are not looking for any kind of fame or attention. In many cases they haven’t even told anybody else about it because they’re afraid of what people will think of them. I have about 500 or so cases of people that I’ve interviewed since I first started out more than 10 years ago. It’s the consistency of the experiences, the reality of what they were describing. I managed to speak to doctors and nurses who had been present who said these patients had told them exactly what had happened, and they couldn’t explain it. I actually documented a few of those in my book What Happens When We Die because I wanted people to get both angles - not just the patients’ side but also the doctors’ side - and see how it feels for the doctors to have a patient come back and tell them what was going on. There was a cardiologist that I spoke with who said he hasn’t told anyone else about it because he has no explanation for how this patient could have been able to describe in detail what he had said and done. He was so freaked out by it that he just decided not to think about it anymore.