The NeoDarwinian synthesis, alone, may not absolutely rule out the existence of such a hypothetical supernatural agent but the combination of evolution and quantum mechanic, specifically Heisenberg’s Uncertainty Principle does.
The uncertainty principle precludes the possibility of any entity that is not ubiquitous in its knowledge, understanding and control of the universe right down to the sub atomic level generating the precise arrangement of random events necessary to arrive, after the space of either 14 billion or 4.5 billion years depending, on your preferred starting point, at the existence of a small blue-green planet orbiting a yellow star on which, at this precise moment, a human being is explaining precisely why the idea of non-interventionist god who takes a direct interest in the human race is entirely meaningless.
The uncertainty principle is the clincher in the sense that it places a clear limit on the nature of ‘god’ if one wishes to believe that such an supernatural entity exists. If we reject the creationist view that the earth, the universe and everything in it was created out of nothing in its more or less present state, give or take 6,000 years or so of wear and tear, then incredibly complex sequence of events necessary to get from the ‘creation’ of the universe via the Big Bang to where we are now can only have come about via either, from our point of view, an entirely fortuitous sequence of random events any one of which, had it spawned a different outcome, might mean that I wouldn’t be here to write this, and you wouldn’t be here to read it or because the entire universe and everything in it, to a subatomic level, is being directed but a truly omnipotent and omniscient supernatural agency.
Thanks to Heisenberg, there is no middle ground and no room for compromise. We must either have the god of Calvin and a universe in which nothing occurs but by the will of god, in which case we might as well forget all about any ideas of free will, moral agency and, if you believe in such things, salvation…
When we attribute prescience to God, we mean that all things always were, and ever continue, under his eye; that to his knowledge there is no past or future, but all things are present, and indeed so present, that it is not merely the idea of them that is before him (as those objects are which we retain in our memory), but that he truly sees and contemplates them as actually under his immediate inspection. This prescience extends to the whole circuit of the world, and to all creatures. By predestination we mean the eternal decree of God, by which he determined with himself whatever he wished to happen with regard to every man. All are not created on equal terms, but some are preordained to eternal life, others to eternal damnation; and, accordingly, as each has been created for one or other of these ends, we say that he has been predestinated to life or to death.
Institutes of Religion, Book III, Chapter XXI
…or we can, at best, argue for a wholly non-interventionist deist ‘god’ who takes no active role and, for all we can sure of, no interest in our tiny little corner of the universe, and if that is all there is by way of a supernatural agency moving on the face of the universe then why should we be the slightest bit concerned as to their motives, purpose or opinions.
