INFORMATION GEOMETRY AND ENCODING THE BIOSYSTEMS ORGANIZATION

Abstract

The paper analyzes Information Geometry (IG) generated by the evolutionary Information Macrodynamics (IMD) which are memorized by IG renovated geometrical structures. The IG encloses a cellular structure which carries a genetic code for the IMD restoration. The paper focuses on the natural enfolding of the universal optimal genetic code into the IG, obtained from the preceding dynamics, with a forthcoming creation of initial genetic information by the IG cells. The field of information geometry consists of the cell's sets that enable the discrete production of a quantum of information at the cells' boundaries. A particular spatial–time dynamic trajectory, located on a curved information space, enfolds and encodes a specific triplet's code, accumulated by the IG cellular information structure. The paper explores a potential conversion of imaginary into real information, associated with the transformation of mind into matter, and evaluates the dissimilar directional "difficulty" of crossing the boundary between imaginary, virtual and physical real information. The attractive information forces, as attributes of the curved IG, assemble the elementary quantums of time-space virtual dynamics into the cooperative macrostructures and information networks. The results analytically prove for the first time that a macrostructure's genetic information is enfolded into the IG geometrical structures. This means that the morphology of any biological macrostructure, as well as its external surface and inner structures, encloses the code of the macrostructure's genetic information. The complexity of encoded macrostructure depends not just on the total number of its corresponding code's symbols, but essentially on the complexity of the coding structure presented by a hierarchy of the code's symbols. This information systemic property, applied to the encoding of biogenetic information, demonstrates that the same gene's number (for different bio-species) can encode proteins with a variety of distinctive complexities, characterizing the huge diversity of biosystems from plants to humans.