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On computational irreducibility and the predictability of complex physical systems | | Navot Israeli
; Nigel Goldenfeld
; | | Date: |
17 Sep 2003 | | Subject: | Cellular Automata and Lattice Gases; Statistical Mechanics | nlin.CG cond-mat.stat-mech | | Abstract: | Using elementary cellular automata (CA) as an example, we show how to coarse-grain CA in all classes of Wolfram’s classification. We find that computationally irreducible (CIR) physical processes can be predictable and even computationally reducible at a coarse-grained level of description. The resulting coarse-grained CA which we construct emulate the large-scale behavior of the original systems without accounting for small-scale details. At least one of the CA that can be coarse-grained is irreducible and known to be a universal Turing machine. | | Source: | arXiv, nlin.CG/0309047 | | Services: | Forum | Review | PDF | Favorites | |
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