Our article was finally published, yet in Russian:
Belinsky A V, Dzhadan I I "Nonlocality and nonseparability of quantum and relativistic systems" Phys. Usp. 69 (2) (2026)
DOI:
URL: https://ufn.ru/en/articles/2026/2/f/
Additional explanations was done in the English preprint:
Principles of Physics and violation of Bell inequalities in relativistic experiments
Igor Dzhadan
https://doi.org/10.21203/rs.3.rs-8427458/v1
Examples of violations of Bell inequalities in Special relativity theory (SRT) have led to the need to look for the causes of violations outside of quantum mechanics (QM) and possibly outside of physics. The ability to derive Bell inequalities (BI) from set properties allows us to find the necessary condition for violations: the relativity of sets. At the same time, a necessary condition of a physical theory is the subjective independence (SI) of its propositions. This kind of objectivism, together with the principle of a priori maximum possible ignorance (AMPI), leads to the use of flat spaces in fundamental theories such as QM and SRT, where the principles of SI and AMPI can be implemented. In turn, the measurable quantities represented in spaces turn out to be relative. In this respect, SRT is not much different from QM. This proximity predetermines BI violation in both cases and in both cases the violation of BIs confirms the subject-independent nature of physics. In a classic Gedankenexperiment was demonstrated, that the violation of BI does not contradict the presence of hidden parameters if they are represented by relative quantities. However, the question arises: are relative properties and quantities indeed local?
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