So where did these random thoughts come from? Certainly not from necessity or the need to solve a problem. There was no need and there was no problem. I have absolutely no idea but have wondered, time and time again. Since I want to retain my anonymity, and did get some footage at the time, I have not said what the thoughts in question were.
I have a theory on this, based in nothing but my own experience, and random mental associations that I've made.
I used to play golf to a reasonable standard. I can't be bothered to look up the numbers, facts, and figures, but, to hit a "perfect" golf shot, the clubface must approach the ball at something like 140-odd miles an hour, on the correct path, at the correct angle, blah blah blah......
Conventional thought is that such "perfection" can't be sensed by a human. However (and I suspect many decent golfers will back this up), sometimes, you "just knew" partway back to the ball, that something wasn't right, and the shot was going to be carp. And you were invariably correct. But, conventional thought is that it is just not possible, to sense such minute imperfections.
Now, think of high-functioning people, like maths savants for example. Perhaps people with autism, or Asperger's, or similar. People who can multiply five-figure numbers in the blink of an eye; stuff that "normal" (read, conventionally-taught-in-logical-and-sequential-maths) people think of as akin to witchcraft. Stuff that's "impossible".
My theory (which might be complete cobblers) is that the human brain is absolutely incredible, but in most "normal" people, its incredibleness is muted by a "normality" filter; only in savants et al (without that filter), the answer just pops up, "Just because it's the right answer", and wasn't stymied by "the filter".
A bit like "in vino, veritas" - when the defences are down, the truth comes out.
Feel free to shoot me down