Dear Lawrence,
Abhijnan's paper does contain more physics than most of the papers in this competition. In my opinion, too many of these papers contain more philosophy than physics. Philosophy is certainly important to physics ("natural philosophy"), but we are past the days of Aristotle - we do have real knowledge and data to work with as well. I am tired of reading modern "hand-waving" arguments about how TOE's do or don't exist that rely exclusively on previously existent theorems such Godel's Incompleteness Theorem or the Turing Machine. I prefer the Nike slogan "Just Do It!".
Although Abhijnan's paper does contain a lot of physics, his goal of computing the string ground state is absolutely impossible with modern computers in the absence of a real breakthrough in our understanding of strings or TOE's. He indicates the possibility that patterns might simplify the computation. Perhaps my lattices ARE the patterns he needs! My alliance with Mohamed El Naschie last year led me to think that the difference between the finite K12' minimal roots and the nearly infinite Universe can be represented with a fractal approximation. My papers emphasized the minimal roots of K12', which are our nearest-neighbor lattice points, but this lattice could also have next-nearest-neighbors (similar to the long roots of K12, and also similar to the hyperflavor leptons and quarks in my book), next-next-nearest-neighbors, and so on to infinity. This is the physical reason why a fractal approximation may be appropriate.
I have been rereading your Jordan paper. You combine some interesting mathematical structures in your paper. Your 27 dimensional Jordan transformation is the natural extension to Dray and Manogue's 10 dimensional transformation. I think your physical interpretation is different from mine, but I'm not certain of myself either - I'm still considering the problem, and how it might tie into Supersymmetry or Feynman diagrams.
Have Fun!
Ray Munroe
