I love this topic. I have theories. There's long been a forum at the time travel institute page. I feel like Nikola Tesla may have actually figured it out and then destroyed the information, like he did with other things he figured out that he then realized was dangerous.
One of my favorite theories is why the Philadelphia Experiment worked in the way that it did (though, I'm not sure if it was time or just dimensional shifting that occurred). I formed this theory after a physics class in high school where we were shown a video of all kinds of energy being produced. One of the experiments in the film was lighting a small firecracker (a lady finger, if you know the type) about a foot away from a coke bottle. The firecracker explodes, and per the usual, that's that. The bottle was fine. The experiment was repeated underwater a good ways, and upon the firecracker exploding, the bottle imploded into fine pieces of glass dust. Back to the Philadelphia Experiment, now - it was a naval ship fitted with all kinds of electrical wiring and essentially turning its hull into a generator / magnet that created an incredible amount of energy. What I theorize is something they didn't account for so much... that the energy bounced into the water, off of the solid rock (could have been granite) bay floor and then back upwards towards the ship. The energy was exponentially increased by the water, and that's what caused such wild effects. No one will ever say for certain, of course. It's fun to theorize about.
Similarly, per water being what helps dimensional travel, that device in the film/tv show Stargate actually does make sense when you put science to it and break it down. Namely, we all accept that if we could travel past the speed of light, we could achieve time travel (that's a pretty common theory). Also common, is that if we ever travelled that fast, our molecules would separate, and that's that. But...water has this way of exponentially being able to compress and pressurized and could theoretically hold our molecules just right, if we moved so incredibly fast. It would have to be an insanely perfected formula / ratio, but it seems like the way to make it work.
As to what is considered paranormal or supernatural...I have experiences and have done research nights a few times in some very interesting places that were quite active. They weren't power of suggestion instances because I have been in more places that proved to be all hype and absolutely no activity going on at all.