Re: what are you "thinking" when playing?
Personally, I don't really think about the technical side too much when improvising. I need to know where my fingers are and what scale I'm in, but I don't analyse it at all. 
I don't think 'I'll play a triplet in a minute' but in my head I know when it's time to double speed or whatever.
I hear the notes in my head at the same instant my fingers are pressing the strings.
It's a bit like a racing driver, if he took time to think about what he was doing - he'd be dead.
It's the same for fast improvisation, think about it and you'll lose it.
I think that's what attracts many of us to soloing rather than rhythm playing.
it's that sort of 'on the edge' feeling. I know that Rid, Marin, TO and a few others know what I mean.
In fact everyone on that jam knows what I mean.
Lee