Ok, so I'll repeat also.
My argument is an "inference to the best explanation."
Physical Necessity:
Not only does one have to show that a universe with slightly different values for the constants is impossible, but Hawking laments that even the best theory on the scene doesn't support it:
"Most physicists would rather believe string theory uniquely predicts the universe..."
"Does string theory predict the state of the universe? The answer is that it does not."
Chance:
Hawking lists chance as an option not preferred:
"Or that there are many universes, and our universe is picked out by the anthropic principle."
Design:
So I offer this argument as an "inference to the best explanation", which I believe in this case is design.
So... how do cosmologists (Hawking in particular, because you keep citing him) feel about the universe being "designed"? You examine the first two explanations, and discover that scientists don't seem to like either very much. Okay. But when we're talking about "best" (or, as I'd refer to call it in this case, "least bad"), we need to examine
all of the options. After all, if our options are A, B, and C, and A has a probability of 1:10^20 and B has a probability of 1:10^30, we do not get to conclude that C is the most likely option without examining it. C could have a probabilty of 1:10^4, or a probability of 1:10^40*.
And the fact of the matter is that the option you want to offer as the "best explanation" is
not even considered an explanation. It's not considered a valid explanation for why the universe is the way it is, any more than it is considered a valid explanation for why we see such diversity of life on the planet. It might technically be possible. It's also unscientific, unfalsifiable, and fundamentally useless. I mean, Hawking, the scientist you are basing most of your citations on, quite obviously doesn't think that design is the most reasonable answer - he's an atheist. He wrote an entire book attacking this argument. In fact, reading an excerpt published in the
Wall Street Journal, it seems that he in fact endorses the "chance" option, and the multi-universe hypothesis:
Many people would like us to use these coincidences as evidence of the work of God. The idea that the universe was designed to accommodate mankind appears in theologies and mythologies dating from thousands of years ago. In Western culture the Old Testament contains the idea of providential design, but the traditional Christian viewpoint was also greatly influenced by Aristotle, who believed "in an intelligent natural world that functions according to some deliberate design."
That is not the answer of modern science. As recent advances in cosmology suggest, the laws of gravity and quantum theory allow universes to appear spontaneously from nothing. Spontaneous creation is the reason there is something rather than nothing, why the universe exists, why we exist. It is not necessary to invoke God to light the blue touch paper and set the universe going.
Our universe seems to be one of many, each with different laws. That multiverse idea is not a notion invented to account for the miracle of fine tuning. It is a consequence predicted by many theories in modern cosmology. If it is true it reduces the strong anthropic principle to the weak one, putting the fine tunings of physical law on the same footing as the environmental factors, for it means that our cosmic habitat—now the entire observable universe—is just one of many.
Again, we run into exactly the same problem as the cosmological argument. You appeal heavily to very complex theoretical physics that basically require a post-grad course just to understand the mathematics involved, but the scientists just keep not following through to your conclusion for some reason. If your argument for the existence of god depends on cosmology and something like 80% of cosmologists are atheists, you've got a honkin' big problem.
The best explanation should be one that is simple, has explanatory power, explanatory scope, plausibility, and so on.
...Yes, and this is why "supernatural design" belongs in a bin. It has no explanatory power or scope, its plausibility is incalculable, and it is not falsifiable. It, like all supernatural explanations, makes no testable predictions and as a result is completely worthless.
*If they were a mutually exclusive, complete set of options, then yes, P(C) would necessarily be P(U) - P(A) - P(B), but this is part of why I find the trichotomy so problematic here. Neither of the two naturalistic options are universally accepted, and the supernaturalistic one is by definition useless.