Combinatorial hierarchy

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The Combinatorial Hierarchy is a mathematical structure of bit-strings generated by an algorithm based on discrimination (exclusive-or between bits). It was originally discovered by A.F. Parker-Rhodes in 1964, and is interesting because of physical interpretations that relate it to quantum mechanics.[1] For example, values close to the fine structure constant and the proton-mass gravitational coupling constant appear in the generation of the Hierarchy.[1]

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  1. ^ a b Bastin, Ted and Kilmister, C.W. Combinatorial Physics. World Scientific, 1995, ISBN 981-02-2212-2