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Imitating Quantum Probabilities: Beyond Bell’s Theorem and Tsirelson Bounds
Foundations of Science 29 (2):281-305 (2024)
Abstract
Local hidden-variable model of singlet-state correlations discussed in Czachor (Acta Phys Polon A 139:70, 2021a) is shown to be a particular case of an infinite hierarchy of local hidden-variable models based on an infinite hierarchy of calculi. Violation of Bell-type inequalities can be interpreted as a ‘confusion of languages’ problem, a result of mixing different but neighboring levels of the hierarchy. Mixing of non-neighboring levels results in violations beyond the Tsirelson bounds.Other Versions
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Citations of this work
Bell-Type Inequalities from the Perspective of Non-Newtonian Calculus.Michał Piotr Piłat - 2024 - Foundations of Science 29 (2):441-457.
References found in this work
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?Albert Einstein, Boris Podolsky & Nathan Rosen - 1935 - Physical Review (47):777-780.
On the Einstein Podolsky Rosen paradox.J. S. Bell - 2004 - In John Stewart Bell (ed.), Speakable and unspeakable in quantum mechanics: collected papers on quantum philosophy. New York: Cambridge University Press. pp. 14--21.
A Suggested Interpretation of the Quantum Theory in Terms of ‘Hidden’ Variables, I and II.David Bohm - 1952 - Physical Review (85):166-193.
Non-Newtonian Mathematics Instead of Non-Newtonian Physics: Dark Matter and Dark Energy from a Mismatch of Arithmetics.Marek Czachor - 2020 - Foundations of Science 26 (1):75-95.
A Loophole of All ‘Loophole-Free’ Bell-Type Theorems.Marek Czachor - 2020 - Foundations of Science 25 (4):971-985.
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