1. Is God a Mathematician?
This question is category error. It places mathematics distinct and precedent to God.
You might as well ask "Is God a theologian?"
2. Mathematics explains the laws of creation.
Mathematics approximates the laws of creation as we've best seen, measured, and reckoned them in our small sphere of existence. That which we can fit through the electromagnetic force through which all sense data enters the mind.
"We don't know one millionth of one percent of anything" ~ Thomas Edison
3. The universe is best explained through the mathematical models of either relativity or quantum mechanics (neither have been reconciled yet as far as I understand)
The physical laws probably. Stuff like how the Earth goes around the Sun (stress-energy tensor, law of least action, Hilbert Lagrangian), how water flows in a pipe (Bernoulli's laws, partial differential equations), how metal bends and breaks (Cauchy stress tensor, yield criteria), or why gravity is so weak (Lie algebras/E8 string theory)
But the unsolved questions, and probably unsolvable questions, are metaphysical and philosophical.
Examples of these questions are like:
- Why does time move forward? (or why do we think that anyway?)
- What is causality? Does it exist?
- Why do the physical constants have the values they do?
- The whole thing of epistemology, ontology, philosophy of science and knowledge
I'm not intelligent or creative enough to understand or grok any of this metaphysical stuff. I'll stick with my numbers and diagrams. >tfw autistic
And the fact that you bring up the fact that Quantum Field Theory (which has been reconciled with special relativity) hasn't been reconciled with General Relativity shows that these are just theories (not in the sense of American 20th century protestants saying "Evolution is just a theory", speaking of which, we know so little about evolutionary historiography…), not the truth. We asymptotically approach the "Truth" but we will never reach it, because that is divine. It's beyond us, categorically.
A danger that we now have as Christianity is ripped out of society and people's lives, is they turn not only into heathen debauchery and worship of flesh (cold), or new age pagans/personal philosophy (warmer!), but into neo-Pythagoreans!
Pythagoras wanted to hold everything in his tidy neat little mathematical boxes. Arrogant. Same thing with your average Redditor. They'll take out Logos and replace with the Standard Model Lagrangian, 26-dimensional Calabi-Yau manifolds, adinkraic symbols, or the newest and shiniest (and unfalsifiable) mathematical tool.
4. Why doesn't God reveal the laws of the universe to us then?
Now, I can't answer that question. I don't even know why I'm not unqualified to not answer that question haha. Perhaps you need to ask God. Or just a philosopher.
I'm mostly pulling this out of my behind. So don't take what I'm about to say seriously. Let's say there is some perfect Grand Theory that perfectly predicts everything. Ignore the problem of weak measurement and hidden variables, etc. Isn't that becoming like God? Isn't that Babel? Isn't that Eden? Why doesn't God give us the apple?
Furthermore, all our theories are like poor copies of paintings. Only one can truly make the original.
I would imagine if he did truly reveal the laws of the universe, that it would be completely beyond us.
Like trying to explain our theories to ants. A fish never thinks about the ocean. Or maybe it'd be like looking at the face of God.