A couple of years ago, I was exploring the fastest way to make a
  concept into something tangible; bridging that apparent gap is
  always an interest of mine, and especially as of late.

  Your video reminded me of an experiment I did. I was exploring
  analogous physical systems - how electricity has analogues to
  mechanics, has analogues to hydraulics, etc.

  I found a patent for a "fluidic amplifier" that intrigued me. I
  was investigating the nature of amplification (ultimately trying
  to comprehend what happens in my own mind as I try to reinforce
  a thought as it begins to fade so that I don't forget it) as
  well as something of the nature of decision-making in the mind
  itself).

  I was able to trace it, using a simulator, convert the fluidiic
  emplifier from an air fed to a gravity fed system... [I think it
  was actually a patent for an accoustic amplifier to be used in
  Orthodox Jewish synagogues now that i think about it]... right
  on the computer and watch how it works, all within a few short
  minutes.

  I see mathematics as an analogous form itself; yet on a more
  intellectual side, as long as there is a gap between axiom and
  proof, it will go far but it will reach a limit when it hits the
  realm of subjectivity-as-experienced. There is a growing trend
  to feel that "we are close to the answers" and that all will be
  explainable via an external view - things-as-objects, and heard
  from a scientist who is often called as expert witness in court
  cases give a talk where he was convinced that eventually, all
  will be explainable through cogsci, potentially rendering the
  court system as it stands obsolete.

  Yet, if you notice, in most fields, they believe their silo has
  'all the answers' and physics, which happens to work really well
  with math, and math very well with physics, is heading into a
  direction of being cut from the tethers of needing validation.
  My opinion is at that point, it becomes a philosophy and not
  strictly a science.