A Loophole of All ‘Loophole-Free’ Bell-Type Theorems

Marek Czachor

doi:10.1007/s10699-020-09666-0

A Loophole of All ‘Loophole-Free’ Bell-Type Theorems

Abstract

Bell’s theorem cannot be proved if complementary measurements have to be represented by random variables which cannot be added or multiplied. One such case occurs if their domains are not identical. The case more directly related to the Einstein–Rosen–Podolsky argument occurs if there exists an ‘element of reality’ but nevertheless addition of complementary results is impossible because they are represented by elements from different arithmetics. A naive mixing of arithmetics leads to contradictions at a much more elementary level than the Clauser–Horne–Shimony–Holt inequality.

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Marek Czachor prof. dr hab.

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DOI:: Digital Object Identifier (open in new tab) 10.1007/s10699-020-09666-0
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Keywords

BELL INEQUALITY

Details

Category:: Articles
Type:: artykuły w czasopismach
Published in:: Foundations of Science no. 25, pages 971 - 985,
ISSN: 1233-1821
Language:: English
Publication year:: 2020
Bibliographic description:: Czachor M.: A Loophole of All ‘Loophole-Free’ Bell-Type Theorems// Foundations of Science -Vol. 25, (2020), s.971-985
DOI:: Digital Object Identifier (open in new tab) 10.1007/s10699-020-09666-0
Verified by:: Gdańsk University of Technology