I am currently working on my Ph.D. project on statistical physics. I am familiar with renormalization group techniques and some specialized techniques for exactly solving models, like the Bethe Ansatz and the Yang-Baxter equation.
I independently concluded that mathematical existence and physical existence are the same, by contemplating thought experiments with artificial intelligence. I think that I got this idea in 1994. I joined this list in the summer of 2000 and posted some of my thought experiments. I think that statistical physics, and especially renormalization group techniques, are essential if one wishes to derive the physics that we observe from abstract concepts like a measure defined on a set of computer programs. Let me conclude by giving some interesting references of books and articles that are not too technical: [1] Scaling and renormalization in statistical physics, J. Cardy, Cambridge University Press [2] Exactly Solved Models in Statistical Mechanics, R.J. Baxter, Academic Press, New York, 1982 [3] Renormalization Group Studies of Vertex Models, Saibal Mitra, http://arxiv.org/abs/physics/9910031 [4] Determinism and Dissipation in Quantum Gravity, Erice lecture, Gerard 't Hooft, http://arxiv.org/abs/hep-th/0003005 [5] Entropic Dynamics, Ariel Caticha, http://arxiv.org/abs/gr-qc/0109068
