Dear Philip,
Thanks for taking me on a pleasing little ramble through a series of intriguing ideas. I was sorry you didn't get back to your thought about stories, at the end... but I agree with you that there's still a lot to be learned from the strange combination of broken and unbroken symmetries in the laws of physics.
One thing I found striking here, which well describes the point of departure for the second section of my current essay: "With no information the universe is the sum of all possible histories, described by all possible laws of physics. In terms of information "Nothing" means "everything."
For me, the problem is that when everything is possible, there's no constraining context in which anything in particular is even definable, let alone measurable. So the question is, what story leads from here to the situation of our current universe, where so many different kinds of information are all definable and measurable in terms of each other?
There are two sides to the meaning of "fundamental" - one of which you emphasize: "a level of reality that is not derived from anything else. Fundamental laws are not in any way accidental or arbitrary. They must be as they are, because they could not be any other way." It's not clear whether this actually applies to anything in the physical world. Bu the other side certainly does apply - that is, things are fundamental insofar as they provide a basis for other things.
I argue that the complex structure of atoms is the basis for all observable information in our universe. Since that structure clearly depends on many deeper layers, I tell one possible story, taking an "archaeological" approach, digging out features of our currently well-established physics that require the least complex contexts to define them, and ordering them in a sequence of "pre-historic strata."
Though I haven't developed this thought in my essays yet, I think the reason so many different kinds of symmetry appear in physics is that symmetries mark a boundary between two levels of definition - a point where one type of information can be defined, but no context yet exists to define a related kind of information. If that makes sense, then this gives us a powerful tool for sequencing the strata.
I hope you get a chance to look at my essay and let me know what you think - not necessarily before the deadline for ratings. The feedback is more important to me.
Thanks again -- Conrad