So....Maybe I'm the last person to notice this, but I think that false awakening is generally the same type of phenomena as astral projection.

Superficially, its just a lucid dream of being awake when you're not awake, just as astral projection is a lucid dream of being tactilely where your body isn't. But both phenomena are the same in that you're 'waking up' in a way that is in some sense misaligned with the physical reality of your body, and sometimes there's content in the dream that seems to be acquired in some extra-sensory manner.

The other similar kind of dream I've had, which so far nobody else has mentioned having, is one in which my audial and spatial sense was inverted, so that everything I would normally think of as being inside my head seemed to be outside, and the rest of the world was inside. That happened one hemisphere at a time, sometimes both together, sometimes just one. This felt very much like an astral projection dream, with the same intense sensate experience that seems more real than waking life or most other lucid dreams.

I'm not sure I believe in 'parallel worlds', I think we use that idea to try to explain astral experiences that we don't understand, but the idea isn't quite right. That said, if there are 'parallel worlds' that we can contact, then I think these dreams extend into those other worlds, and the 'extra-sensory' information is coming from one of them, not from ours. Its like waking up into the wrong world a little bit. The reason I don't think this 'extra-sensory' information isn't simply imagined, is it sometimes contains content that's true in our world that we couldn't possibly have known or guessed through other means. The reason I think its not quite from 'our world' is the way it matches and yet doesn't quite match. I'm out of time and don't feel like trying to explain that better though.