[Quantum Field Theory / classical random fields] - A New Kind of Science: The NKS ForumA New Kind of Science: The NKS Forum
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Quantum Field Theory / classical random fields
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Posted by: Peter Morgan
This is to ask whether anyone involved with NKS on the Physics side sees anything in NKS that relates to my approach to quantum field theory. I hope it will be useful to me to bring my work on the relationship between quantum field theory and classical random fields to the NKS community's attention (at least to the attention of any physicists).
To be specific, two published papers discuss in detail (A) the relationship between thermal and quantum fluctuations (Physics Letters A 338 (2005) 8-12; quant-ph/0411156v2), and (B) "Bell inequalities for random fields" (J. Phys. A: Math. Gen. 39 (2006) 7441-7455; cond-mat/0403692v4); a third paper (C) discusses my overall research program (to appear in the Proceedings of the Conference on Foundations of Probability and Physics-4, Växjö 2006; quant-ph/0607165).
There may not be a strong relationship, but I'm curious whether there is. I believe that my approach to quantum field theory gives a different and helpful perspective to NKS's relationship to quantum theory (which I think is not adequately discussed in the NKS book, nor in this forum as far as I can tell). As I see it, NKS models at a small enough scale would be able to be modeled in an effective field theory way by classical random fields, so a detailed analysis of the relationship between classical random fields and quantum fields should be helpful to NKS.
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