The fallacy of Godel's argument is that it assumes there are necessary truths in the physical world and there is not the slightest proof that there is. There are necessary truths in abstract thought--I'll buy that--but I can't go along with the necessary truths existing in the physical world. I can't think of one.

I assume here you're talking about Gödel's ontological proof for the existence of God, not Gödel's proof of the incompleteness theorem.

It doesn't have anything to do with the physical world.