Non-Euclidean geometry in materials of living and non-living matter in the space of the highest dimension / Gennadiy Zhizhin.

Format:

Book

Author/Creator:

Zhizhin, Gennadiy, author.

Series:

Mathematics research developments series.

Mathematics research developments series

Language:

English

Subjects (All):

Dimension theory (Topology).

Biomolecules--Mathematical models.

Biomolecules.

Geometrical models.

Physical Description:

1 online resource (294 pages)

Place of Publication:

New York : Nova Science Publishers, [2022]

Summary:

"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"-- Provided by publisher.

Contents:

Euclidean geometry and non-euclidean geometry

Geometry of the polytopes of higher dimensions

Non-euclidean properties of the geometry of polytopes of higher dimension

Polytopes of the highest dimension of inert substances

"Inert" substances as a self-regulating medium tending to capture space

Spatial models of sugars and their compounds

The theory of the folder and native structures of the proteins

Geometry of the structure of nucleic acids in the space of the highest dimension

Interaction of nucleic acids in the space of higher dimension and the transmission of hereditary information

Dimension of substances and life.

Notes:

Description based on print version record.

Includes bibliographical references (pages 267-276) and index.

Other Format:

Print version: Zhizhin, Gennadiy Non-Euclidean Geometry in Materials of Living and Non-Living Matter in the Space of the Highest Dimension

ISBN:

9798886970647