The asymmetry of the Nyquist vacuum

Phase equalization is really an unsorting process. We assume the original disturbance was an exponential peak of phase gradient that unsorts itself out, packing the sharpest gradients into null points, and gradients left that are still sorted, but too smooth to be unsorted and we are left with a smoother distribution The smoother is again unsorted, in place. It can only be unsorted to a smoother level than the previous orders, otherwise the the lower orders will simply incorporate any sharp gradients.

Nyquist phase always comes in values -1,0,+2.  A smooth negative gradient has more 0 and less -1. A smooth positive gradient has more 0, but even less +2. The asymmetry slows phase equalization on the positive gradients. On the positive gradient there are more positions with three or more zeros that do not unsort. This is the Pauli efect. The +2 is a phase shift as a result of under sampling.  At some point the phase imbalance on the positive edge becomes too sharp to be supported in the presence of the lower orders, and phase balancing stops.

Further, we get a well, a point at a positive gradient cannot be smoothed with Nyquist sampling, until is meets another wave action from the outside. The Nyquist vacuum, because of it asymmetry always curves and contains at the highest order. And inevitably we get a null point as zeros pile up faster rom the negative gradient.