Preprint Article Version 1 This version is not peer-reviewed

The Genetic Code, Algebraic Codes and Double Numbers

Version 1 : Received: 24 November 2019 / Approved: 24 November 2019 / Online: 24 November 2019 (17:20:40 CET)

How to cite: Petoukhov, S.V. The Genetic Code, Algebraic Codes and Double Numbers. Preprints 2019, 2019110301 (doi: 10.20944/preprints201911.0301.v1). Petoukhov, S.V. The Genetic Code, Algebraic Codes and Double Numbers. Preprints 2019, 2019110301 (doi: 10.20944/preprints201911.0301.v1).

Abstract

The article shows materials to the question on algebraic features of the genetic code. Presented results testify in favor that the genetic code is an algebraic code related with a wide class of algebraic codes, which are a basis of noise-immune coding of information in communication technologies. Algebraic features of the genetic code are associated with hypercomplex double (or hyperbolic) numbers. The article also presents data on structural relations of some genetically inherited macrobiological phenomena with double numbers and with their algebraic extentions. The received results confirm that multidimensional numerical systems is effective for modeling and revealing the interconnections of structures of biological bodies at various levels of their organization. This allows one to think that living organisms are algebraically encoded entities.

Subject Areas

genetic code; DNA; alphabet; amino acids; hypercomplex numbers; double numbers; binary numbers; dyadic groups; dyadic shift; tensor product

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