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Bell’s theorem and the different concepts of locality

Теоремв белла и различные концепции локальности

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

Four definitions of the principle of local causes, each of which, when applied to a theory, leads to a different mathematical property of the theoretical predictions, are considered and physical justifications given. The predictions of quantum theory are shown to contradict three of those four concepts of locality. Conclusions are drawn about the physical process and about the interpretations of quantum theory or any other theory that would provide the same predictions. Several inter-pretations are still possible.

Riassunto

Si considerano quattro definizioni del principio di cause locali, ciascuna delle quali, quando applicata ad una teoria, porta a una diversa proprietà matematica delle predizioni teoriche, e si forniscono giustificazioni teoriche. Si mostra che le predizioni della teoria quantistica sono in contraddizione con tre di questi quattro concetti di località. Si traggono conclusioni riguardo i processi fisici e le interpretazioni della teoria quantistica o di qualsiasi altra teoria che fornisca le stesse predizioni. Sono ancora possibili molte interpretazioni.

Резюме

Рассматриваются четыре определения принципа локальных причин, каждое из которых приводит к различным математическим свойствам теоретических предсказаний. Показывается, что предсказания квантовой теории противоречат трем из этих четырех концепций локальности. Делаются выводы о физическом процессе и об интерпретации квантовой теории или любой другой теории, которая давала бы те же предсказания. Оказываются возможными другие интепретации.

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Eberhard, P.H. Bell’s theorem and the different concepts of locality. Nuov Cim B 46, 392–419 (1978). https://doi.org/10.1007/BF02728628

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