As for me, there are schools of magic that teach how to develop this. I didn't believe at first, but with enough "coincidences", I accepted it tentatively.
I still seek for a way to harmonize this with science proper. But most people are too caustic and closed-off to even give this a consideration.
There are really 2 options:
1. Everything is purely physical. When you die, you are worm food, the end. Many people 'believe' this, given no proof of either way.
2. The other option is that there is some unknown type of "energy" (boy, do I hate that word, BTW). And our bodies are some sort of receiver. Some times, we can receive other stuff. It would also explain out of body experiences, dreams that feel like more, feeling people watching you, near-death experiences, parents being able to sense when their child's hurt at a distance, and other things. How does this work? No bloody clue.
If everything's simply physical, then who cares? You're worm food anyways. The second offers much more - some people can communicate with it. So, how does it work? How can I receive it, say, from a computer receiver? How do I transmit? How do I view it?
But hostiles will be hostiles, well, until we start seeing more "Science of Consciousness" work. Then finally, we can bring the Occult and Psychism to science proper.
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(EDIT: Wow, again, another mod-storm. It seems the staunch atheists and antitheists are going at this thread with a vengeance.
I'm only highlighting 'interesting' phenomenon, for a possibility others might find something interesting and share their findings. You know, it's kind of how science works. Well, unless it's an echo-chamber filled with sycophants repeating their own religious dictates that 'the occult and psychism doesnt exist'. I know the path I understand it, but it is unprovable to others. Tl;Dr: study of N=1.
I'll wait for you deniers to explain consciousness. I'll be waiting.)