Previously, we showed that for all continuations of NLS blowup solutions, the phase is lost after the singularity. In this talk I will show that ``loss of phase'' can occur even if the NLS solution does not collapse. Therefore, if two NLS solutions travel a sufficiently long distance (time) before interacting, it is not possible to predict whether they would intersect in- or out-of-phase. Hence, a deterministic prediction of the interaction outcome becomes impossible. ``Fortunately'', because the relative phase between the two solutions becomes uniformly distributed in [0,2π], the statistics of the interaction outcome is universal. The statistics can be efficiently computed using a novel Uncertainty-Quantification method, even when the distribution of the noise source is unknown. I will end by arguing that although the NLS has a time-reversal symmetry, its solutions can experience a loss of reversibility.