Vladimir, thank you for your kind comments. I have previously read your "Beautiful Universe Theory", which very elegantly explains how the action of discrete nodes and analog effects generate the dynamics of spacetime. Near the beginning of your essay, you mentioned the rotating gear-like elements featured in Maxwell's diagram of a dielectric ether. The imagery immediately brought to mind hidden variable theories, such as Bohm's implicate order, in which I picture sub-ensembles rotating, like clockwork gears within gears, to generate particle dynamics. Such product states are neither fully classical nor quantum and form the ontological basis for quantum wholeness.
The thermodynamic position-time space we experience, however, is not ontic but epistemic - a creation of the brain. A complex conjugate theory reconciles this top-down approach with bottom up ontic information approaches, such as your qubit lattice theory. A purely ontic theory violates the Kochen-Specker theorem - that measured quantum states only acquire value after measurement. Also you have to allow for the duality of quantum states. In a recent interferometer experiments, a control photon is put into a quantum superposition of an ambiguous mixture of wave and particle. Particle and wave are not black and white but a varying shade of grey (Nature Photonics, vol 6, p 600; Science, vol 338). There is clearly a gradient between what constitutes epistemic and ontic information.
For the figure of the hypersphere, I had a specific picture in my mind. I found partial image matches on the internet, which I redrew and combined. Now, upon reviewing a writeup of Penrose's twistor theory (http://users.ox.ac.uk/~tweb/00006/index.shtml), I will say, yes - Penrose's depiction is the original inspiration. Penrose basically uses 6-dimensional complex projective space to represent light rays in Minkowski space as points projected onto a celestial Riemann sphere (touched upon in my essay). I use Eddington's complex phase space for an information based theory whereas Penrose's theory is geometric.
Why the proton and not the electron? For simplicity, I wanted to remain consistent with Eddington's comparison particle, which was the proton. (Also, it is easier to conceptually connect quark-gluon soup at the UV cutoff within a proton with CFT on the event horizon of a black hole.)
Thank you. I very much appreciate your support and very shortly will read your new essay.