Swerve, Tyche, Singularity

A Singularity is absolutely isolated from any other event, and, so, is absolutely incommensurate with any other event.  So, if Swerve or Tyche is a Singularity, there is a clear moment of rupture with respect to the uniformity from which or to which it deviates.  Now, Differential analysis shows the difficulty in pinpointing such a moment.  But, if there is no such moment, then the difference between Regularity and Irregularity is of degree, not kind.  Thus, the Rectilinear-Swerve relation is of straighter-less straight, and the Repetition-Tyche relation is that of more predictable-less predictable.  So, if Swerve and Tyche are counterexamples to Democritean or Newtonian Physics, it is not as Singularities, but as marginalized possibilities.