In one way of looking at it, however, we'd have to say that Pachipro's incident was coincidental. That is that is was most obviously a pretty one time shot.
It's just something that can happen, and when it does, it is merely conincidental in nature. I very seriously doubt we could ascribe such an event to any particular average state of brain at all.
Remember, how Einstein found several solutions?
Just as a hint. . .
And many scientists report the very same.
Such dreams are definitely not coincidences, the brain's deeper, more sensual level, is searching for according signs, and if you are really
into something, you have a pretty good chance, to find the answers there
Thinking alone is not enough. That is very well already accepted.
It is even a principle for every creative worker, to go outside that logical sphere and start from "another" side, that may at first look unrelated, but then opens a window for fresh air, so to say. Dreams are such windows, and can also put both brain-sides together and then you get a clear answer. Happens all the time.
There is this funny habit hereabout of putting your book (of learnings, languages or whatever) under your sleeping cushion. This is for example another hint to this. . .tune yourself into a question and let it be solved "by itself", during sleep, as we say here. One has particularly to pay attention to the morning dreams, as they sum up your unconscious researches. Those are also called "prophetic dreams", guess, why.
It is common knowledge, that it works via self-programming, -suggestion, you make a "setting" this way. Its no hokus pokus at all.
It is digging in the well of subconsciousness, so to say, and very well already widely respected.
Try to learn languages via playing/listening to certain music (wasn't it Mozart first?), that is about the same. You activate the other parts of your brain, and wow, it works far better and faster, to learn those words. All for long confirmed, scientifically.
It has also to do with certain brain waves, particularly, when you relax, which via music is as well done as via sleep.
Pachipro, you are in
fact more part of the common layers here, the intuitive ones, who are "beyond walls", as we say here, collective consciousness, as good. . .comes out as the same.
You also made your settings by having a particular driving question, book under your cushion or not. Its in no way a coincidence at all. Just use this knowledge furtherhin, it will be very helpfull!
If I come across the according links of research, I will post it here, there are loads of great scientific informations on the matter. You could fill several threads with them, all accepted, only not yet widely conscious, also how they are connected, thats all.