Thanks for your informative posts in this thread, I think you've been advancing a very lucid and compelling argument here.
I would say that in terms of the universe's laws, a hypothetical '
omniscient, immaterial creator God' is a claim about something that allegedly lies outside whatever we can test, quantify or reproduce through experiment / observation or even testable consequences. This is why it's often termed 'supernatural', because even if we posit that something like an immaterial disembodied 'consciousness' which is not dependant on the neuronal firing and synapses of a brain could exist, we aren't going to be able to 'test' for it using our present instruments.
It's like accepting that the particle horizon will always act as a 'barrier' to how far our telescopes can peer, such that even if the 'multiverse hypothesis' of causally disconnected 'bubble' universes arising from eternal inflation were correct, sans a bubble collision we aren't going to be able to test for it - so it remains a good empirically based philosophical hypothesis, more than a theory within the ken of 'science', so to speak.
Granted, our understanding of what constitutes "
physicality" and "the natural" has evolved quite considerably since the time of the Greek atomists of the classical era and the early pioneers of mechanistic science in the 18th century.
The "
physical" order of things is now understood to be - and you can correct me here if I get this wrong - at its most irreducible and fundamental level, quantum fields that interact and are described by a wave-function. That's a bit more than just "
atoms in a void" as the classical authors would've understood it. Anything under the laws of quantum mechanics and the laws of the Newtonian/general relativity model of physics are
de facto "physical".
But what to make of the actual "laws" themselves?
These seem to be irreducible brute facts which somehow pre-exist. In some sense, the laws of physics aren't really part of the Universe, are they? Professor Sean Carroll, a cosmologist at Caltech, explains how: “
There is a chain of explanations concerning things that happen in the universe, which ultimately reaches to the fundamental laws of nature and stops… at the end of the day the laws are what they are.”
As the South African cosmologist Professor George Ellis once noted: "
They [the laws of nature] underlie the Universe because they control how matter behaves, but they are not themselves made of matter. Laws of physics aren't made of lead or uranium."
Physical processes and all material objects depend upon these laws, yet the laws themselves (at least in their high-temperature version) are not affected by any physical processes.
Thus back in the 1980s, the late Stephen Hawking tried to explain the Big Bang singularity (including the origin of time) in terms of the laws of quantum gravity (i.e. the reconciliation between quantum mechanics and general relativity that's still yet to be achieved). For this type of explanation to function, the laws need to be presupposed?
Laura Mersini-Houghton, professor of cosmology and theoretical physics at the University of north Carolina-Chapel Hill, argued as follows in a 2015 paper:
The Multiverse, the Initial Conditions, the Laws and, Mathematics by Laura Mersini-Houghton
I use implications of the work of Gödel and Cantor to demonstrate that limitations of mathematics may suggest it is contained within the realm of laws. I reason laws need to be in an independent realm from the universe, which is space and time independent.