Hi Ed,I have forgotten to copy my answer to your blog.
Your essay is excellent. Full of great pictures. You present an approach that I was waiting for. I mean: a visual language, independent, universal and baggage-free description. The last notion is explained in Max Tegmark's very inspiring letter "The Mathematical Universe" (arXiv:0704.0646v2) where he says: "a description to be complete, it must be well-defined also according to non-human sentient entities (say aliens or future supercomputers) that lack the common understanding of concepts that we humans have evolved, e.g., "particle", "observation" or indeed any other English words. Put differently, such a description must be expressible in a form that is devoid of human "baggage".
I think that visual imaging could be the answer.
You say: Usefulness is also high if the model can be represented in a number of different ways and leads to a predictive power. My essay delivers the predictive power that five out of Thurston geometries remain to be uncovered in nature. These are five exotic Riemannian manifolds, which are homogeneous but not isotropic: the geometry of S2 テ-- R, H2 テ-- R, the universal cover of SL(2, R), Nil geometry and Solv geometry. Maybe you could prepare visualizations of these geometries?
Obviously our, humans, problem is that some geometrical structures we are not able to imagine in our brains e.g. S3 and H3. Unfortunately it needs to take a look from R4 perspective. But we can create some projections on R3 or cross-sections. You have tried to help to imagine quarks. It is really interesting... Do not stop in your useful work. Your rating is unfair. You deserve much more.
Regards,
Jacek