Richard,
Thanks for commenting on my essay. Since you have read it, I'll relate some of our ideas. You have written a most complex essay, spanning much of physics and you tie it together well [as well as possible in nine pages].
We agree that information is contextual, and that our perceptions yield an internal representation of reality. You ask how can we, based on illusory projections, comprehend the basic nature of reality. Illusion carries a connotation of distortion, and with some exceptions, I do not believe our brains distort reality. As Mark Feeley commented on my page: "If you assume there is only one real field the argument is even simpler: if there is only one field, then you (or anyone else) are a manifestation of that field, and combined with the apparent evidence that you are aware, you are quite logically led to a conclusion that the field is in some way aware." In other words, if the nature of reality is as I suggest, then we are part and parcel of (and Wheeler's 'participating in') reality and are self-aware of this fact. We are made of the hierarchically 'in-formed' local structures 'condensed' from the self-aware field. In which case we *can* comprehend the basic nature of reality. Much of the 'illusion' is based on an overlay of 'metric maps' or 'distance scales' that do not so much 'distort' as 'over-write' the basic awareness of scale-free connectedness. This is extremely utilitarian, but meta-physically misleading, to say the least.
I like your treatment of phase dimension, scale, and "the screen", although I have strong reservations about the holographic principle. I have some ideas related to the complex plane and Riemann sphere and the mapping of the dynamic models our brains build. Your essay triggered several pages of 'brain model' ideas.
I too find scale significant and your point that energy density is scale-free. My Master equation is scale-invariant and my key equations are energy-density-based. And, like Eddington, my electron model and cosmological model are toroidal. The electron has spin one-half, which makes sense in my model. Since I haven't really worked out the spin of the cosmological model, thanks for reminding me of this.
Your 'ant analogy' was also fun and appropriate.
I was at a small meeting last week where one of the participants presented the picture of entropy you develop with the coin states and the Venn-like diagrams. I still don't understand this completely, and I'm glad to have your essay to study this perspective.
And I've also found much to agree with in your comments to others.
So I got a lot out of your essay and I'm really pleased that mine gave you much to think about.
Best wishes,
Edwin Eugene Klingman