New quasi-stable ratios of particles in nature revealed by multi-dimensional Taylor approximation

Abstract

Quasi-stable ratios are defined as making stability which weaker than neutral stability. Various quasi-stable ratios including new ones are quantitatively revealed by performing multi-dimensional Taylor approximation for the momentum equation describing deformation and translational motions of connected flexible particles, although our previous reports based on one-dimensional Taylor approximation cannot. Quasi-stable ratios including about 2:3 which close to golden and silver ratios and 1:1 are identical to size ratios seen in replication of biological molecules (e.g. nitrogenous base pairs and amino acids) and fission of uranium atoms.