The inevitability of the bio-molecules: five nitrogenous bases and twenty amino acids

Abstract

Living beings, which are in a quasi-stable condition (meta-stable) between unstable and neutrally stable, use only five types of nitrogenous bases and 20 amino acids selected naturally. A first-order approximation of the momentum equation derived based on the cyto-fluid dynamic theory reveals the reason why the molecular weight of purines and pyrimidines among the nitrogenous bases varies by only about 1.5 times, although the variation principle for the energy conservation law cannot do so. Here, we take a higher order of the Taylor series for the unified momentum equation describing the deformation motions of biological molecules. Even-numbered terms such as the second and fourth show no other quasi-stable size ratios. However, odd-numbered terms result in other quasi-stable ratios. The three-fold variation of the molecular weights of amino acids will come from the third term of the Taylor series.