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• W1932933731 abstract "When can a model of a physical system be regarded as computable? We provide the definition of a computable physical model to answer this question. The connection between our definition and Kreisel's notion of a mechanistic theory is discussed, and several examples of computable physical models are given, including models which feature discrete motion, a model which features non-discrete continuous motion, and probabilistic models such as radioactive decay. We show how computable physical models on effective topological spaces can be formulated using the theory of type-two effectivity (TTE). Various common operations on computable physical models are described, such as the operation of coarse-graining and the formation of statistical ensembles. The definition of a computable physical model also allows for a precise formalization of the computable universe hypothesis--the claim that all the laws of physics are computable." @default.
• W1932933731 created "2016-06-24" @default.
• W1932933731 creator A5090610753 @default.
• W1932933731 date "2012-10-18" @default.
• W1932933731 modified "2023-10-11" @default.
• W1932933731 title "The Computable Universe Hypothesis" @default.
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• W1932933731 doi "https://doi.org/10.1142/9789814374309_0025" @default.
• W1932933731 hasPublicationYear "2012" @default.
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