A reformulation of Hilbert's tenth problem through Quantum Mechanics
Quantum Physics
2007-05-23 v2
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 Shr\"odinger 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.
Keywords
Cite
@article{arxiv.quant-ph/0111063,
title = {A reformulation of Hilbert's tenth problem through Quantum Mechanics},
author = {Tien D Kieu},
journal= {arXiv preprint arXiv:quant-ph/0111063},
year = {2007}
}