Bell’s theorem: Does quantum mechanics contradict relativity?
作者:
L. E. Ballentine,
Jon P. Jarrett,
期刊:
American Journal of Physics
(AIP Available online 1987)
卷期:
Volume 55,
issue 8
页码: 696-701
ISSN:0002-9505
年代: 1987
DOI:10.1119/1.15059
出版商: American Association of Physics Teachers
关键词: BELL THEOREM;QUANTUM MECHANICS;RELATIVITY THEORY;LOCALITY
数据来源: AIP
摘要:
Special relativity demands a locality principle (no instantaneous action at a distance); locality implies Bell’s theorem; quantum mechanics violates Bell’s inequality, therefore, quantum mechanics contradicts relativity! Or so it would seem. It is shown, however, that the locality principle needed for Bell’s theorem is stronger than the simple locality that is needed to satisfy the demands of relativity and that quantum mechanics satisfies the latter. The stronger locality principle is equivalent to the conjunction of simple locality and predictive completeness, and it is the latter principle that fails. The notion of predictive completeness is weaker than, and is implied by, the completeness criterion of Einstein, Podolsky, and Rosen. But the quantum mechanical state description is not only incomplete but incompletable, for any local complete state description would satisfy Bell’s inequality and disagree with experiment.
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