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A reformulation of Hilbert's tenth problem through Quantum Mechanics

Tien D Kieu
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Abstract

Inspired by Quantum Mechanics, we reformulate Hilbert's tenth problem in the domain of integer arithmetics into either a problem involving a set of infinitely coupled differential equations or a problem involving a Shrödinger propagator with some appropriate kernel. Either way, Mathematics and Physics could be combined for Hilbert's tenth problem and for the notion of effective computability.

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Tien D Kieu. 2003-10-08. A reformulation of Hilbert's tenth problem through Quantum Mechanics. https://doi.org/10.1098/rspa.2003.1266

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