"I have to complete stay moveless, and when I stay moveless for awhile that's when my mind will work at its extreme capacity."
Two different types of thinking. Focused thinking where all your memory slots are consciously controlled. Un-focused thinking (diffused mode) where random connections between different ideas are made. [0] The unfocused thinking is where you get the ^aha^ moment. So yes I'd reckon every programmer/hacker/scientist/mathematician is pretty much doing what you describe.
[0] Barbara Oakley, PhD, PE., "Focused and diffuse modes of thinking- a brief on how it functions" ~ https://www.youtube.com/watch?v=dzjsk5e7srI