Quantum-Induced Emergent Symmetry in Abstract Algebra

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the potential of quantum mechanics to induce emergent symmetry in abstract algebraic structures, offering a novel approach to understanding fundamental group theory and related areas. We explore the concept of quantum entanglement as a mechanism for creating a 'quantum resonance' between algebraic objects, suggesting a pathway to uncover previously hidden symmetries within these structures. The paper presents a theoretical framework and preliminary analysis, demonstrating a potential shift in perspective from traditional approaches to symmetry generation. We outline the core mechanism involving quantum entanglement and its implications for the study of group theory.

DOI: 10.5281/zenodo.22185202

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