The pivot time-scale conjecture for observables depending on an internal distance

Let an observable in a polymer system depend on a single internal distance $L$. A successful pivot at a given length scale is a pivot that changes the configuration at that scale with respect to $L$.

Pivot time-scale conjecture. The integrated autocorrelation time of this observable is of the same order as the time required to make successful pivots at all length scales with respect to $L$.

This conjecture relates autocorrelation in pivot-algorithm simulations to the hierarchy of length scales governing the observable. The supplied text does not state a resolution, so its status remains open.