News Academy of Engineering Sciences A.M. Prokhorov Annotation << Back NUMBER ASYMMETRY, GOLDEN MEAN NUMBER AND QUASICRYSTALS A.D. IZOTOV, F.I. MAVRIKIDI Present paper outlines an approach to explanation the origin of golden mean section ϕ=1,618… in various complex systems of diff erent nature. The approach is based on number asymmetry, that is combination of real R and 2-adic Z2 number systems in self-dual system Q2 = R × Z2. It phenomenology is combination of duration with divisibility, which are inscribed in golden mean section equation. In this case 2-adic Z2 numbers are logically indefi nable, i.e. purely random, not pseudorandom, numbers with respect to measuring real ones. Using technique of Generalized Linear Models with Logit-function, which is formally identical to left-hand side of golden mean section equation, allows to get close-to-normal distribution for appearance of this equation and consequently, for it’s solution. Described approach can be generalized as a connection of possibility theory, that has various non-physical origins, with classical probability one. Keywords: golden mean, complex systems, Quasicrystals, 2-adic numbers, number asymmetry, random numbers, possibility theory. Contacts: E-mail: izotov@igic.ras.ru, E-mail: fmavr@hotmail.com Pp. 03-06.