Hilbert's Incompleteness, Chaitin's $Ω$ number and Quantum Physics

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dc.creatorKieu, Tien D
dc.date2001-11-10
dc.date2001-11-21
dc.date.accessioned2026-07-07T06:03:00Z
dc.date.available2026-07-07T06:03:00Z
dc.descriptionTo explore the limitation of a class of quantum algorithms originally proposed for the Hilbert's tenth problem, we consider two further classes of mathematically non-decidable problems, those of a modified version of the Hilbert's tenth problem and of the computation of the Chaitin's $Ω$ number, which is a representation of the Gödel's Incompletness theorem. Some interesting connection to Quantum Field Theory is pointed out.
dc.descriptionClarification and new references added
dc.identifierhttps://arxiv.org/abs/quant-ph/0111062
dc.identifierhttp://arxiv.org/abs/quant-ph/0111062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89826
dc.subjectQuantum Physics
dc.titleHilbert's Incompleteness, Chaitin's $Ω$ number and Quantum Physics
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