What I tried to explain is that this is not really about other universes. The logic applies even if our universe is the only one. It is about the amount of seemingly arbitrary assumptions we have to make for the theory to explain our universe.
We write the modeling program and somewhere we write
FINE_STRUCTURE_CONSTANT=1/137;
It is very tempting to instead write ./my_universe.sh --fst=0.007 ...
The code does the same thing, but as far as we know that constant is as invariable and intrinsic to what it means to be a universe as PI is to what it means to be a circle.It is fun to think about but it can't produce scientific results. It's epicycles, coming up with more complicated stories that over-fit for a singular observation.
Well, we’re looking for a reasoning that would support that they couldn’t have been something else, and the article is about one way of coming closer to that.
There are really only two possibilities: Either there’s a reason why they are what they are, then we want to find that reason, or there is no reason, then in other words they are arbitrary.