Recently, I saw a demonstration where an annealed steel rod and a hardened steel rod were made to fail from tensile stress (they were pulled on like an elastic band and snapped in a vice-like machine) There it was explained that the fault surface in the annealed metal was rough and dull as "there was minimal kinetic energy so the fault found its way through the weakest points in the metal", whereas the hardened steel, which took a lot more force to cause faliure, sheared cleanly and left a razor sharp edge, because "there was so much kinetic energy that it was quicker to simply cut straight across"
My question is whether or not it is valid to apply this logic to the dialectric breakdown of air. We could take sparks and lightning bolts to be akin to the faliure front in the steel rod - there was the minimum required electrical potential energy in the system to jump across, and so the path taken would flow through the "weakest" or most conductive sections of air. Perhaps some situation arose where 10 or even 100 times the required potential difference occured between the sky and the ground, would the sheer magnitude of that voltage cause the arc or lightning bolt to hit straight down, in a perfect line?