Sorry I didn't have time to read completely, I will read this when I have free time.
But I wanted to mention this is completely reverse for me. Over the years I have found my body and mind are complete opposite side of each other. I have to complete stay moveless, and when I stay moveless for awhile that's when my mind will work at its extreme capacity. Moving, Walking, Talking, Writing, everything is kinda distraction from my deepest mind state, and I need that state when I study Math especially the hard/analytical problems. I call that deep state, ZEN. I wish I could be in that state everywhere and every day.