Indeed. And asking that question turned out to be rather useful, didn't it?
When it was first proposed, people objected to the big bang on similar grounds.
Science proceeds by asking questions about phenomena that look intriguing to scientists. If some of those investigations or their (possibly tentative) conclusions disturb your personal worldview, tough luck. Science and scientists couldn't care less (or at least they shouldn't, unless we are discussing things that might actually pose a real risk).
The fundamental physical constants indeed look fine-tuned. Why? Here are several possibilities:
(1) There is only one possible set of values for physical constants, and they are what they are. In this case, we should focus on understanding why only that set is possible. I find this highly implausible (for reasons I'd be happy to elaborate on).
(2) There are many possible values, and we are very finely adapted to the values they happen to take (the anthropic or "puddle" argument). This is more plausible, but not the whole story.
I think - and yes, this is speculative, but based on mathematics and what we have learned about fundamental physics - that there are probably many, many possible values that vary as you move around in the universe, but not every conceivable set of values can occur, and some sets occur far more frequently than others. Some of the apparent fine tuning is anthropic (if the values weren't in certain ranges, no one would be here to ask about them), and some of it is due to interesting and as-yet poorly understood constraints on what is possible or common.
There is an active subfield in which people are exploring these possibilities. Speculative? You bet. Dead end? Maybe - time will tell. What's certain is that people are not going to stop discussing these questions. They're too interesting for that to happen.
This, most definately.
The fine tuning problem isn't a statement that "everything is fine-tuned, therefore whatever".
It's a statement that, as far as we can tell, the values needed for the various constants in order for life to exist is fairly narrow. It isn't so much the water marvelling at it's fit to the puddle shape, but rather to the fact that there's a depression for a puddle to form in at all. If we change any of the constants, it seems we don't get holes big enough for puddles: we get bumps, or flat surfaces that won't hold water, or thousands of microscopic pits scattered evenly instead of a depression that would hold water.
The "fine-tuning" question is simply "Why is this the case?" It's not making an assumption. And the answers are variable, as
sol pointed out.
I see no need to find a probability distribution, because we can't do that without a theory. To fid the theory, we have to ask the questions. And the answers so far are addressing various possible probability features...to wit:
The "underlying theory" idea,
sol's number 1. THere's some underlying theory, or some interdependence amongst the constants, that we haven't found yet. This limits their values to specified amounts.
Then there's "multiple values" hypothesis. There are several speculations here, hypothesis if you will, that are awaiting the ability to do some form of testing. The multiverse theory is one, in various incarnations: multiple universes with random constants, whther the probability values are uniform or not; universe "spawning", where certain processes like black holes spawn "daughter" universes that share some (but not all) of the parent characteristics, leading to an almost evolutionary progression of universes tailored for black holes (which has the side effect of allowing for life); or others I can't recall.
And then there are some who claim that life would take on a different form if the constants were different (call it the "pure puddlers"). This seems difficult to fathom, as many of these values combinations would prevent the formation of any complex structure (like, you know, molecules), which seems to make any possibility of life rather remote (and is just as much an assumption as is being argued against...faith that life will always find a way).
THe whole point is that for any progress to be made, the questions have to be asked and the answers thought about, so that testable hypothesis can be constructed and we can
find out what the probability distributions are, and why the values are what they are.
THe fine-tuning problem isn't "why are we fine-tuned"...it doesn't make that assumption. It does make the claim that there is a narrow range of values consistant with life, which is true (outside that narrow range complex structures aren't possible...no stars, for example). It simply asks why are the values what they are.
Argument against it seems like arguing that we shouldn't be curious (thus my Borg comment earlier).
To quote Einstein, "If we knew what we were doing, it wouldn't be research."
