A hidden-variable theory is the traditional, but not unique, basis for constructing various types of Bell’s theorem. The starting point may also be a recognition of the existence of a positive-definite probability distribution function. This assumption alone is used to formulate and prove Bell’s paradoxes of different types. A specific example is used to show that a formal quantum calculation can sometimes give negative values of the joint probabilities that are used in the proof. An attempt is made to identify the physical meaning of this result and an algorithm for determination of negative joint probabilities of this type is proposed.

PACS: 03.65.Bz DOI: 10.1070/PU1994v037n04ABEH000024 URL: https://ufn.ru/en/articles/1994/4/l/ A1994NM92600013 Citation: Belinskii A V "Bell's paradoxes without the introduction of hidden variables" Phys. Usp. 37 413–419 (1994) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks @article{Belinskii:1994, author = {A. V. Belinskii}, title = {Bell's paradoxes without the introduction of hidden variables}, publisher = {Physics-Uspekhi}, year = {1994}, journal = {Phys. Usp.}, volume = {37}, number = {4}, pages = {413-419}, url = {https://ufn.ru/en/articles/1994/4/l/}, doi = {10.1070/PU1994v037n04ABEH000024} } Оригинал: Белинский А В «Парадоксы Белла без введения скрытых параметров» УФН 164 435–442 (1994); DOI: 10.3367/UFNr.0164.199404l.0435