I haven’t read any of the posts on this thread (except the first one), because I get scared when there are too many posts. It’s a real problem, I know. So I apologize if I repeat stuff. Ignore this if you feel like it. But, I would say, that …
READ THIS FOR THE DEFINITIVE ANSWER!!!
When asked if God can create logical impossibilities, the answer is uniformly: “no”. On the other hand, it is also uniformly asserted that God can create physical impossibilities. The laws of nature are not an obstacle for God.
This is correct (or, I should say, this is the Catholic position). I would add, however, (and I am open to correction on this, but I’m quite sure I’m right), that
if a certain physical impossibility involves a logical impossibility as well, then God cannot do it! Now, what the heck does this mean?
Well, I would say that the basic principle of logic (and reason in general) is the principle of non-contradiction … a.k.a. the principle of identity. From this principle, all logic, metaphysics, and reasoning spring. The principle has been expressed in a couple different ways, but really with the same meaning each time. One definition is “a thing cannot be and not be in the same way.” Some philosophers would also add “… and at the same time” though, in my opinion, this is included in “the same way” (but that’s my opinion). For example: I cannot be at a certain place and not be at a certain place at the same time and in the same way. However, some may point out something like, “Well, what if you’re day-dreaming … then, in a sense, you ‘not there’ but literally you ‘are there.’ Thus, the principle of non-contradiction is wrong.” No, obviously that’s wrong because that is me being there and not being there in different ways. If you disagree with this, explain why. Perhaps more and better examples are needed … I’ll admit, that one was kind of dumb.
The test for metaphysical/logical possibility (i.e. the test for whether God’s omnipotence can do something or not) is whether the “thing” to be attempted by God’s omnipotence can be defined without contradicting itself. If something can be defined logically, then it is something that God can do. If the explanation involves a self-contradiction in what it is, then God cannot do it.
There is an absolute zero, which is the “coldest” possible temperature, there the Brownian motion of molecules stops. To achieve minus one degree Kelvin is only a physical impossibility. Can God do it?
I may be horridly off in my knowledge of physics (and you are free to make fun of me if I am

), but something involved with having something at zero Kelvin is that all molecules stop moving. Now, what would sub-zero kelvin even look like? Can we imagine it? Can we conceptualize it? Can we even define it? Or is it a logical absurdity? Would sub-zero Kelvin consist of molecules moving slower than they would if completely motionlessness? Probably not. Perhaps they are still moving on an unseen dimension and that if slowing them down there too, we may attain sub-zero kelvin. The question is … what is a definition of sub-zero kelvin? If the definition doesn’t make logically sense, it is excommunicated from the domain of omnipotence.
There is an absolute maximum speed, the speed of light in a vacuum. No physical object with a resting mass of more than zero can achieve, much less surpass it. This is just a physical limit, so it should not hinder God. Can God move anything faster than the speed of light?
Not an expert in this particular subject either. Presumably, though, I think you are right that this is a physical limit … a purely physical limit and not a logical one. There doesn’t seem to be anything here that would be a certain way and not be that same certain way in the same way.
There is also a maximum of heat, where the molecules would move with the speed of light. Can God make anything “hotter” than this maximum?
I think if the previous thing can be achieved by God, then it would seem this could as well.
Theoretically, it could go in the other direction. Can God reverse the direction of time? Can God make time travel possible? Can God change the past?
Ooh, good question. There are varied layers of meaning to what people can mean by “time travel.” So some specifics are needed, at least for me, to understand what exactly you mean here. What perspective, for example, are you implicitly referring to when saying changing direction of time? For example, if time machines were possible, time would not be reversing for someone outside the time machine. Right? So, are you saying, could God, from his perspective, reverse time? Well, I would say no. This is because God is outside of time. There is no succession of events for Him. He looks at the entirety of history, beginning to end, at the same time. Also, He does not change his mind or do things in succession. All He does, He has done at once. Obviously, you may have more questions on this topic (the changelessness of God). Since God is changeless, though, it would be a logical contradiction to then say that He can change (i.e. by changing the direction of time from His perspective). You may also have more questions about time-travel, too, and if you do, explain exactly what kind of time-travel you’re referring to (because even theoretical physicists have varied notions of time-travel).
Opposite electromagnetically charged objects attract each other, like electromagentically charged ojects repel each other. Can God create the opposite, where like charges repel and opposite charges attract? Or something else, where all charges repel each other? Or all charges attract each other?
Yes, absolutely, I think God can mess with forces until the cows come home. Forces are highly vulnerable to not being metaphysically bound to their observed natures. Physical laws, especially those of forces, are merely observed repetitions in nature. We say that gravity will affect a thing every time not because we have figured this out by deduction but by induction. The apple falling from the tree is known with a slightly shakier certainty compared to 2 plus 2 equaling 4 (for mathematics is deductive and logical, of course). It can be imagined that an apple can fly upward for no physical reason. If such a thing can be conceived, then it would not be logically impossible.
I hope I didn’t speak too ignorantly on various matters of physics. If so, let me know (or, you don’t have to

). Also, I hope I didn’t speak too ignorantly on matters of philosophy. If so, I hope someone corrects me.