Bell's Theorem and Forms of Relativity

Dear Colleagues,

The original formulations of the Einstein–Podolsky–Rosen paradox (1935) and Bell's theorem (1964) were based on non-relativistic quantum mechanics. It is paradoxical that the conclusions drawn from both reasonings mainly impacted relativistic physics (for example, locality vs. nonlocality), which was reflected in the Nobel Prize-winning experiment of Alain Aspect's group.

The first theoretical works analyzing Bell's inequalities from the perspective of relativistic quantum mechanics and quantum field theory were published in 1984–1985. Issues on the border between Bell's theorem and special or general theories of relativity are today discussed in the literature in many different ways, although they still remain on the margins of science, far beyond the mainstream of research.

In this Special Issue, we would like to focus on the relativistic aspects of Bell's theorem, but in a much broader sense of the word "relativity". Of course, the concept of relativity, understood in the Einsteinian sense, is still valid. However, we would not like to limit ourselves to this quite standard perspective. After all, another aspect of relativity is the Copernican principle, stating that the Universe is homogeneous, which leads to a natural question about the cosmological aspects of Bell's theorem.

A completely different kind of relativity appears in the context of generalized arithmetic structures, generalized calculus, or hierarchies of mathematical models. Bell's theorem then appears as a kind of "confusion-of-languages” problem. It is also potentially very interesting to look at Bell's theorem from the point of view of mathematical and experimental psychology, where generalized arithmetic structures take the form of the Weber–Fechner phenomenon.

The aim of this Special Issue is to collect publications covering as many different types of relativity as possible and their impact on the interpretation of Bell's theorem.

Prof. Dr. Marek Czachor
Guest Editor

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