Temporal discreteness and kinematic monotonicity of evolutionary changes in the entropies of ensembles of isolated quantum systems

It is shown that the changes in the Entropy of any ensemble of isolated and localized non-relativistic quantum systems that occur with the passage of time are those which increase monotonically in value only at isolate time-instants suggestive of an underlying temporal discreteness associated with the temporally-asymmetric and discontinuous strictly-irreversible evolution of the ensembleʹs statistical operator.