A Self-Contained Axiomatic Algebraic System for Geometric Growth and Structural Closure
Year: 2026
Type: article
Abstract: This paper constructs a self-contained axiomatic algebraic system for geometric and structural growth, starting from a primitive unit element. It defines a set of core operations and axioms, and establishes a closed, logically consistent formal mathematical framework without reliance on external number systems. The system introduces original operators to describe structural coupling and evolution, and examines the internal consistency and closure properties of the resulting structure. It provides a formal foundation for analyzing hierarchical geometric and algebraic systems.
Author: Wang, Zhenmin
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7155219264
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