title: Three-body system metaphor for the two-slit experiment and Escherichia coli lactose-glucose metabolism.
abstract: We compare the contextual probabilistic structures of the seminal two-slit experiment (quantum interference experiment), the system of three interacting bodies andEscherichia colilactose-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 withn-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.
authors.affiliation: Liberal Arts Division, Tokuyama College of Technology, Gakuendai, Shunan, Yamaguchi, Japan.
authors.forename: Masanari
authors.initials: M
authors.lastname: Asano
authors.affiliation: International Center for Mathematical Modeling in the Physics and Cognitive Sciences, Linnaeus University, 35195 Växjö, Sweden.
authors.forename: Andrei
authors.identifier: http://orcid.org/0000-0002-9857-0938
authors.initials: A
authors.lastname: Khrennikov
authors.affiliation: Department of Information Sciences, Tokyo University of Science, 2641 Yamasaki, Noda, Chiba, Japan.
authors.forename: Masanori
authors.initials: M
authors.lastname: Ohya
authors.affiliation: Department of Information Sciences, Tokyo University of Science, 2641 Yamasaki, Noda, Chiba, Japan tanaka@is.noda.tus.ac.jp.
authors.forename: Yoshiharu
authors.identifier: http://orcid.org/0000-0002-9764-1909
authors.initials: Y
authors.lastname: Tanaka
authors.affiliation: Department of Biological Science and Technology, Tokyo University of Science, 6-3-1 Niijuku, Katsushika, Tokyo, Japan.
authors.forename: Ichiro
authors.initials: I
authors.lastname: Yamato
mesh_terms: D004926:Escherichia coli / Q000378:metabolism*; D005947:Glucose / Q000378:metabolism; D007785:Lactose / Q000378:metabolism; D019365:Metaphor; D008954:Models, Biological; D015233:Models, Statistical; D011789:Quantum Theory
chemical_list: D005947:Glucose; D007785:Lactose
keywords: contextuality; glucose preference; quantum interference; three-body system