A Topological and Group-Theoretic Framework for Linking Chemical and Biological Systems
Year: 2025
Type: article
Abstract: This paper presents a mathematical framework that unifies chemical and biological organization through topological and algebraic principles. The model embeds a small category š¯’˛DNA as the core algebraic structure within a continuous topological manifold representing permissible chemical and biological transformations. This structure establishes a correspondence between molecular complementarity, polarity inversion, and other binary operations in biology, providing a formal mathematical bridge between the domains of chemistry and biology. The framework aims to offer a rigorous foundation for representing biological symmetry and constraint in a manner consistent with both physical and algebraic laws.
Author: Harby, John
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7107871470
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