Quasi-stability theory: Explaining the inevitability of the magic numbers at various stages from subatomic to biological

Abstract

A statistic fluid-dynamical model derived based on a quasi-stability concept extended from our previous reports (Naitoh, JJIAM, 2001, Artificial Life Robotics, 2010) reveals the magic numbers observed in various systems including living beings and non-living systems. First, this model explains the reason why particles such as biological cells, nitrogenous bases, liquid droplets, and child atoms resulting from the fission of uranium 235 have bimodal size ratios of 1:1 and about 2:3 between the golden and silver ratios. Next, a higher order of analysis also clarifies the other asymmetric ratios, i.e., the super-magic number of about 1:3.5, 1:2.5, 1:2.1, 1:1.78, 1:1.35, and 1:1.27 in various systems including amino acids, proteins, atomic systems, and atoms appearing at the cold fusion. This paper also shows that the same theory holds true for several levels of parcels from baryons to stars in the cosmos: specifically, at the levels of nuclear force, van der Waals force, surface tension, and the force of gravity. © 2011 Springer-Verlag.