A Continuous Model of Computation

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Abstract
A central dogma of computer science is that the Turing‐machine model is the appropriate abstraction of a digital computer.Physicists who've thought about the matter also seem to favor the Turing‐machine model. For example, Roger Penrose devoted some 60 pages of a book to a description of this abstract model of computation and its implications. I argue here that physicists should consider the real‐number model of computation as more appropriate and useful for scientific computation. Physicists should consider an alternative to the Turing‐machine model of computation.

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