The genetic code degeneracy and the amino acids chemical composition are connected

TL;DR

This paper presents a mathematical model linking the genetic code's degeneracy to amino acids' chemical composition, revealing atomic patterns and structural insights into the genetic code.

Contribution

It introduces a Godel Encoding-based arithmetic model that connects genetic code symmetry with amino acids' chemical structure, offering new physico-mathematical insights.

Findings

Derived atomic patterns involving hydrogen, carbon, nucleons, and atoms.

The model is robust against symmetry transformations like Rumer's.

Provides new understanding of the genetic code's structure.

Abstract

We show that our recently published Arithmetic Model of the genetic code based on Godel Encoding is robust against symmetry transformations, specially Rumer s one U > G, A > C, and constitutes a link between the degeneracy structure and the chemical composition of the 20 canonical amino acids. As a result, several remarkable atomic patterns involving hydrogen, carbon, nucleon and atom numbers are derived. This study has no obvious practical application(s) but could, we hope, add some new knowledge concerning the physico-mathematical structrure of the genetic code.