Quantum Logical Bioinformatics: Genetic Alphabet of Four Hadamard Unitary Operators, and Cyclic Groups

This paper focuses on algebraic-logical modeling of molecular genetic informatics systems and inherited biostructures. The focus is primarily on the development of a quantum-logical framework for modeling genetically inherited ensembles of coordinated cyclic (biorhythmic) processes characteristic of living organisms. The author develops a quantum-logical modeling approach based on the genetic alphabet of 4 unitary Hadamard matrices and cyclic power groups based on it. The possibilities and prospects of the proposed approach for the development of quantum-logical biology, genomorphic artificial intelligence, and biotechnology are discussed.