dorsal/arxiv
View SchemaHidden Variables and Nonlocality in Quantum Mechanics
| Authors | Douglas L. Hemmick |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412011 |
| URL | https://arxiv.org/abs/quant-ph/0412011 |
| Journal | in "Bell's Theorem and Quantum Realism Bell's Theorem and Quantum Realism", 1st Edition., 2011, XII, 97 p. 1 illus. Springer book |
Abstract
In this paper, we show that Erwin Schroedinger's generalization of the Einstein Podolsky Rosen argument can be connected to certain mathematical theorems - Gleason's and also Kochen and Specker's - in a manner analogous to the relation of EPR itself with Bell's theorem. In both cases, the conclusion is quantum nonlocality, as we discuss. The "Schroedinger nonlocality" proofs share some features with the Greenberger, Horne, and Zeilinger quantum-nonlocality work, yet also differ in significant ways. For clarity and completeness, we begin with a detailed discussion of the topic of hidden variable theorems. We argue, in agreement with John S. Bell, that 'impossibility' does not follow.
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"abstract": "In this paper, we show that Erwin Schroedinger\u0027s generalization of the\nEinstein Podolsky Rosen argument can be connected to certain mathematical\ntheorems - Gleason\u0027s and also Kochen and Specker\u0027s - in a manner analogous to\nthe relation of EPR itself with Bell\u0027s theorem. In both cases, the conclusion\nis quantum nonlocality, as we discuss. The \"Schroedinger nonlocality\" proofs\nshare some features with the Greenberger, Horne, and Zeilinger\nquantum-nonlocality work, yet also differ in significant ways.\n For clarity and completeness, we begin with a detailed discussion of the\ntopic of hidden variable theorems. We argue, in agreement with John S. Bell,\nthat \u0027impossibility\u0027 does not follow.",
"arxiv_id": "quant-ph/0412011",
"authors": [
"Douglas L. Hemmick"
],
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],
"journal_ref": "in \"Bell\u0027s Theorem and Quantum Realism Bell\u0027s Theorem and Quantum\n Realism\", 1st Edition., 2011, XII, 97 p. 1 illus. Springer book",
"title": "Hidden Variables and Nonlocality in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0412011"
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