All of the "weird" phenomena are just everyday wave phenomena as far as I can see - e.g. the uncertainty principle applies just as much to plain old classical wave packets as it does to QM objects. And as far as I know there's no "peculiar discontinuity", just a gradual irrelevance - e.g. the uncertainty principle is exactly the same when applied to objects of any size, it's just that for large objects that uncertainty is too small to be relevant.