dorsal/arxiv
View SchemaHilbert's Incompleteness, Chaitin's $\Omega$ number and Quantum Physics
| Authors | Tien D Kieu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111062 |
| URL | https://arxiv.org/abs/quant-ph/0111062 |
Abstract
To 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 $\Omega$ number, which is a representation of the G\"odel's Incompletness theorem. Some interesting connection to Quantum Field Theory is pointed out.
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"abstract": "To explore the limitation of a class of quantum algorithms originally\nproposed for the Hilbert\u0027s tenth problem, we consider two further classes of\nmathematically non-decidable problems, those of a modified version of the\nHilbert\u0027s tenth problem and of the computation of the Chaitin\u0027s $\\Omega$\nnumber, which is a representation of the G\\\"odel\u0027s Incompletness theorem. Some\ninteresting connection to Quantum Field Theory is pointed out.",
"arxiv_id": "quant-ph/0111062",
"authors": [
"Tien D Kieu"
],
"categories": [
"quant-ph"
],
"title": "Hilbert\u0027s Incompleteness, Chaitin\u0027s $\\Omega$ number and Quantum Physics",
"url": "https://arxiv.org/abs/quant-ph/0111062"
},
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