The Genetic Code via Gödel Encoding

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 speci- fic 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 conside- red and their multiplet structure is fully established.