Non-Euclidean Geometry in Materials of Living and Non-Living Matter in the Space of the Highest Dimension


Gennadiy Zhizhin– Professor, Academician of Russian Academy of Natural Sciences, Associate Editor of Int. J. of Applied Research in Bioinformatics (IGI Global), Member of the Editorial Board of the Journal Biosphere (Russia), Member of the Scientific Council of the Russian Academy of Sciences on Combustion and Explosion, St. Petersburg, Russia

Series: Mathematics Research Developments
BISAC: SCI010000; SCI019000

This monograph briefly describes the properties of Euclidean geometry and Riemannian geometry. The significance of the genetic code in connection with the established laws of transmission of hereditary information in the polytope of hereditary information and their sequence in the chain of nucleotides is discussed. Information processes in living matter play a significant role in ensuring the sustainable existence of living organisms. In this regard, the monograph pays great attention to the study of information flows in polytopes of the highest dimension, which are biomolecules. It is shown that the higher the dimensionality of the polytope, the more powerful the information flow it has. This allows living organisms to create reliable protection against harmful external influences (for example, from viruses). In general, the monograph represents a new worldview of nature and life on Earth, which is based on the highest dimension of the molecules of chemical compounds.

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Table of Contents


Chapter 1. Euclidean Geometry and Non-Euclidean Geometry

Chapter 2. Geometry of the Polytopes of Higher Dimensions

Chapter 3. Non-Euclidean Properties of the Geometry of Polytopes of Higher Dimension

Chapter 4. Polytopes of the Highest Dimension of Inert Substances

Chapter 5. “Inert” Substances as a Self-Regulating Medium Tending to Capture Space

Chapter 6. Spatial Models of Sugars and Their Compounds

Chapter 7. The Theory of the Folder and Native Structures of the Proteins

Chapter 8. Geometry of the Structure of Nucleic Acids in the Space of the Highest Dimension

Chapter 9. Interaction of Nucleic Acids in the Space of Higher Dimension and the Transmission of Hereditary Information

Chapter 10. Dimension of Substances and Life




Author’s ORCID iD

Gennadiy Zhizhin0000-0002-4933-7590