Three-body system metaphor for the two-slit experiment and Escherichia coli lactose-glucose metabolism

We compare the contextual probabilistic structures of the seminal two-slit experiment (quantum interference experiment), the system of three interacting bodies and Escherichia coli lactose-glucose metabolism. We show that they have the same non-Kolmogorov probabilistic structure resulting from multi-contextuality. There are plenty of statistical data with non-Kolmogorov features; in particular, the probabilistic behaviour of neither quantum nor biological systems can be described classically. Biological systems (even cells and proteins) are macroscopic systems and one may try to present a more detailed model of interactions in such systems that lead to quantum-like probabilistic behaviour. The system of interactions between three bodies is one of the simplest metaphoric examples for such interactions. By proceeding further in this way (by playing with n-body systems) we shall be able to find metaphoric mechanical models for complex bio-interactions, e.g. signalling between cells, leading to non-Kolmogorov probabilistic data.

Khrennikov, AndreiLinnéuniversitetet,Institutionen för matematik (MA),Int Ctr Math Modeling Phys & Cognit Sci(Swepub:lnu)akhmsi (author)
Ohya, MasanoriTokyo University of Science, Japan (author)
Tanaka, YoshiharuTokyo University of Science, Japan (author)
Yamato, IchiroTokyo University of Science, Japan (author)
Tokuyama College of Technology, JapanInstitutionen för matematik (MA) (creator_code:org_t)

In:Philosophical Transactions. Series A: The Royal Society374:20681364-503X1471-2962

By the author/editor: Asano, Masanari; Khrennikov, Andr ...; Ohya, Masanori; Tanaka, Yoshihar ...; Yamato, Ichiro

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