PI and the case for Zero Point Energy.

I'm sure everyone knows that if you draw a circle whose diameter is 1, its circumference is PI. If we apply this to sub-atomic particles... Take the diameter all the way down to the Planck Length, the smallest distance in the universe (although some interpretations say 2 times Planck Length). Now you have a circle that is the smallest possible size. If you now apply that to a fundamental particle as defined by Superstring theory, you have a string that is rotating and is at absolute minimum energy. In rotation each point on the circle can only be reached once, since you cannot move a transcendental distance, nor can you move a whole multiple of a transcendental distance, which would also be transcendental. So how long before all the locations on the circle, which can be reached only once, are exhausted? And what happens next? Once all the locations have been exhausted it is physically impossible for the system to remain at the current energy level. And the circle cannot get any smaller. So the circle must get larger, but to do that it must GAIN energy. But where does the energy come from? Answer: It must borrow it from the universe. Therefore this is a poor man's proof for the concept of zero point energy. When you are at minimum energy you can only stay there so long and then you MUST gain energy, or cease to exist. Could this play into what happens at the center of a black hole?

Can we make use of this borrowing of energy from the universe? Or is this just a load of bunk?