ALGEBRAIC BIOINFORMATICS BASED ON MATRIX-OPERATOR ALPHABETS FOR ARTIFICIAL INTELLIGENCE

S.V. Petoukhov

Keywords: биоинформатика, наследование структур, матричные операторы, квантовая информатика, дуальные числа, винтовое исчисление, матрицы Фибоначчи, систолические процессоры, искусственный интеллект

TL;DR: In the field of artificial intelligence, scientists strive to replicate the features of living organisms, whose structures are inherited from generation to generation

Abstract:

In the field of artificial intelligence, scientists strive to replicate the features of living
organisms, whose structures are inherited from generation to generation, i.e., they are linked to a
system of bioinformation coding. It is known that protein sequences of amino acids are genetically
inherited using coded messages in DNA and RNA molecules based on an alphabet of 4 nucleotides.
However, as Nobel laureate T. Steitz emphasizes, all knowledge about these biomolecules,
encoded in the genome in this biochemical alphabet, does not tell us, for example, how a butterfly
flies or how a turtle, upon hatching from its egg, immediately begins to crawl towards the water,
which requires the logically coordinated activity of millions of nerve and muscle cells. Thus, in
modern science of biological inheritance, there is a lack of knowledge about a bioinformation
system capable of ensuring the inheritance of cooperative phenomena of algorithmic behavior of
body parts. These inherited logical forms of algorithmic behavior in biosystems necessitate the
search for a corresponding algebraic-operator bioinformation system, based on suitable alphabets
and coupled with nucleotide-alphabet bioinformatics. As a result of this search, the author has
discovered two structurally related matrix-operator alphabets, each containing 4 operators, which
form the basis for two effective types of algebraic-operator bioinformatics, termed cyclic and spiral
types. They can be considered as components of a unified cyclo-spiral bioinformatics. The article
is devoted to these alphabets and the types of bioinformatics based on them, offering new
possibilities for modeling the inheritance of biological phenomena. A paradigm of code algebraicoperator Darwinism is formulated, according to which natural selection and the inheritance of the
most survival-beneficial code combinations of alphabetic operators of algebraic bioinformatics
play an important role in evolution. The features of operator algebraic bioinformatics are proposed
to be considered in the development of genomorphic artificial intelligence.

Submission Number: 17