Horizontal symmetry in the algebraic approach of genetic code

TL;DR

This paper applies algebraic methods inspired by particle physics to analyze the degeneracy in the genetic code, introducing horizontal symmetry concepts to better understand the structure of genetic information.

Contribution

It introduces a novel algebraic approach incorporating horizontal symmetry from gauge theories to study genetic code degeneracy.

Findings

Proposes an algebraic model for genetic code degeneracy.

Incorporates horizontal symmetry to analyze genetic multiplets.

Provides a framework for studying genetic code structure with symmetry concepts.

Abstract

Using concepts of physics of elementary particles concerning the breaking of symmetry and grannd unified theory we propose to study with the algebraic approximation the degeneracy finded in the genetic code with the incorporation of a horizontal symmetry used in gauge theories to fit the contents of the multiplets of the genetic code. It is used the algebraic approch of Hornos et. al. \cite{main,PRL71,PRE,MPLB}. We propose an example for the incorporation of horizontal symmetry to study mixtures of elements of the multiplets.