I feel positively neanderthal with this stuff. I know had I gone
  to school I'd have been working in it. But instead, I hear
  topology and I think knots. Exploring knots. Wondering if it's
  possible for there to be something within the knots can could
  cause them to arise of themselves, some algorithm that was
  consistent and could be applied to explain both the knot we see,
  and various turns of and twists of the rope structure itself....
  ..and it's all mental stuff for me. I visualize things in my
  head. Can't get them on paper. Can't do the math. I turn
  structures inside out in there, untie knots without cutting...
  imagine the interactions of charges and how they affect the
  surrounding areas and how THAT effects other charges... imagine
  the surface of the event horizon of the black hole vs what the
  interior would look like at macro and micro scales.... But
  there's always a wall in explaining what I 'see' in my head. I'm
  always trying to understand though but lack the patience to
  learn the math required to do it properly, so I just absorb what
  I can.