dorsal/arxiv
View SchemaTruth and Completeness in Quantum Mechanics: A Semantic Viewpoint
| Authors | Claudio Garola |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510199 |
| URL | https://arxiv.org/abs/quant-ph/0510199 |
Abstract
The Einstein, Podolski and Rosen (EPR) argument aiming to prove the incompleteness of quantum mechanics (QM) was opposed by most EPR's contemporary physicists and is not accepted within the standard interpretation of QM, which maintains that QM is a complete theory. An analysis of the semantic implications of the opponent positions shows that they imply different notions of truth. The introduction of a nonclassical notion of truth within the standard interpretation is usually justified by referring to known theorems that should prove that QM is a contextual and nonlocal theory. However, these theorems are based on a doubtful implicit epistemological assumption. If one renounces it, one can provide an alternative interpretation of QM that it realistic in a semantic sense. Within this interpretation the EPR viewpoint is recovered and QM is considered a (semantically) incomplete, noncontextual and local theory. Furthermore, the new interpretation provides several suggestions for constructing a more general theory embedding QM and for connecting QM with classical physics and relativity.
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"abstract": "The Einstein, Podolski and Rosen (EPR) argument aiming to prove the\nincompleteness of quantum mechanics (QM) was opposed by most EPR\u0027s contemporary\nphysicists and is not accepted within the standard interpretation of QM, which\nmaintains that QM is a complete theory. An analysis of the semantic\nimplications of the opponent positions shows that they imply different notions\nof truth. The introduction of a nonclassical notion of truth within the\nstandard interpretation is usually justified by referring to known theorems\nthat should prove that QM is a contextual and nonlocal theory. However, these\ntheorems are based on a doubtful implicit epistemological assumption. If one\nrenounces it, one can provide an alternative interpretation of QM that it\nrealistic in a semantic sense. Within this interpretation the EPR viewpoint is\nrecovered and QM is considered a (semantically) incomplete, noncontextual and\nlocal theory. Furthermore, the new interpretation provides several suggestions\nfor constructing a more general theory embedding QM and for connecting QM with\nclassical physics and relativity.",
"arxiv_id": "quant-ph/0510199",
"authors": [
"Claudio Garola"
],
"categories": [
"quant-ph"
],
"title": "Truth and Completeness in Quantum Mechanics: A Semantic Viewpoint",
"url": "https://arxiv.org/abs/quant-ph/0510199"
},
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