I feel Eta has copvered the technical side of the age of the sun, but Buz is stuck in the philosophical side. His God has to create a sun which must appear to be old in order to be functioning, but Buz does not want to go whole hog with the theory the the whole universe was created appearing as though it was 12 billion years old - I presume he doesn't like the apparent 'deceit' on God's part.
But this appearance is unavoidable. If God created the universe as a static snapshot, it would immediately collapse. So He had to create it with momentum. The Earth had to be moving in it's orbit, just as though it had just moved from an earlier position!
In the same way, any living organism would be created with new cells in the process of forming, and 'old' cells dying off and being eliminated through natural processes. A created tree would presumably have tree rings, and Adam would have a navel!
So get rid of this picture of a 'static' universe being created. The universe is a PROCESS, and must be created with all its processes in action, giving an appearance of age. The very fact that Earth must be created moving in it's orbit gives the 'deceit' of previous time. There is no other way to do it. So don't pick on God. (All this from an atheist!!!).
But Buz is left with the mystery of why 12 billion years of apparent history is necessary, when He could have managed with 1 million or less. Guess we need a new revelation to solve this mystery, but in the meantime science is the best we have.
Mike.