A reformulation of the Hilbert ’ s tenth problem through Quantum Mechanics

@inproceedings{Kieu2001ARO,
  title={A reformulation of the Hilbert ’ s tenth problem through Quantum Mechanics},
  author={Tien D. Kieu},
  year={2001}
}
Inspired by Quantum Mechanics, we reformulate the Hilbert’s tenth problem in the domain of integer arithmetics into a problem involving a set of coupled differential equations. Analytical and numerical studies of the differential equations will either themselves settle and/or be of crucial assistance for some physical implementation of an adiabatic quantum algorithm to determine the existence of solutions for the particular Diophantine equation in question. Either way, Mathematics and Physics… CONTINUE READING

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