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000014944 0247_ $$2DOI$$a10.1166/jctn.2011.1781
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000014944 084__ $$2WoS$$aChemistry, Multidisciplinary
000014944 084__ $$2WoS$$aNanoscience & Nanotechnology
000014944 084__ $$2WoS$$aMaterials Science, Multidisciplinary
000014944 084__ $$2WoS$$aPhysics, Applied
000014944 084__ $$2WoS$$aPhysics, Condensed Matter
000014944 1001_ $$0P:(DE-HGF)0$$aDe Raedt, H.$$b0
000014944 245__ $$aExtended Boole-Bell inequalities applicable to quantum theory
000014944 260__ $$aStevenson Ranch, Calif.$$bAmerican Scientific Publ.$$c2011
000014944 300__ $$a1011 - 1039
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000014944 440_0 $$017841$$aJournal of Computational and Theoretical Nanoscience : for all Theoretical and Computational Aspects in Science, Engineering, and Biology$$v8$$x1546-1955$$y6
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000014944 520__ $$aWe address the basic meaning of apparent contradictions of quantum theory and probability frameworks as expressed by Bell's inequalities. We show that these contradictions have their origin in the incomplete considerations of the premises of the derivation of the inequalities. A careful consideration of past work, including that of Boole and Vorob'ev, has lead us to the formulation of extended Boole-Bell inequalities that are binding for both classical and quantum models. The Einstein-Podolsky-Rosen-Bohm gedanken experiment and a macroscopic quantum coherence experiment proposed by Leggett and Garg are both shown to obey the extended Boole-Bell inequalities. These examples as well as additional discussions also provide reasons for apparent violations of these inequalities
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000014944 65320 $$2Author$$aBoole Inequalities
000014944 65320 $$2Author$$aBell Inequalities
000014944 65320 $$2Author$$aQuantum Theory
000014944 65320 $$2Author$$aEPR Paradox
000014944 7001_ $$0P:(DE-HGF)0$$aHess, K.$$b1
000014944 7001_ $$0P:(DE-Juel1)138295$$aMichielsen, K.$$b2$$uFZJ
000014944 773__ $$0PERI:(DE-600)2172443-X$$a10.1166/jctn.2011.1781$$gVol. 8, p. 1011 - 1039$$n6$$p1011 - 1039$$q8<1011 - 1039$$tJournal of computational and theoretical nanoscience$$v8$$x1546-1955$$y2011
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000014944 915__ $$0StatID:(DE-HGF)0010$$aJCR/ISI refereed
000014944 9141_ $$y2011
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