The genetic code Via Godel encoding

TL;DR

This paper introduces a novel Godel encoding method to analyze the structure and degeneracies of the genetic code, revealing detailed multiplet classifications and numeric relationships within standard and mitochondrial codes.

Contribution

It presents a new Godel encoding approach to systematically describe genetic code structure and degeneracies, providing a mathematical framework for genetic code analysis.

Findings

Successfully encodes genetic code degeneracies using Godel numbers

Reveals detailed multiplet-structure of standard and mitochondrial codes

Provides a mathematical description linking amino acids and stops to numeric representations

Abstract

The genetic code structure into distinct multiplet-classes as well as the numeric degeneracies of the latter are revealed by a two-step process. First, an empirical inventory of the degeneracies (of the shuffled multiplets) in two specific equal moieties of the experimental genetic code table is made and transcribed in the form of a sequence of integers. Second, a Godel Encoding procedure is applied to the latter sequence delivering, as an output, a Godel Number the digits of which, from the decimal representation, could remarkably describe the amino acids and the stops and allow us also to compute the exact degeneracies, class by class. The standard and the vertebrate mitochondrial genetic codes are considered and their multiplet structure is fully established.