Nonlinear Conjugate Matrix Theory: A Dynamic Approach to Group Evolution and Topological Analysis

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces Nonlinear Conjugate Matrix Theory, a novel theoretical framework predicated on the dynamic interplay of non-linear conjugate matrices. We propose a new matrix multiplication scheme that introduces a "dynamic conjugate" process during matrix transformation, offering a fundamentally different approach to understanding group evolution and topological structure. This theory aims to provide a more profound and intuitive grasp of quantum state evolution and the analysis of topological structures. The core mechanism centers around the application of this dynamic matrix operation to the evolution of quantum states, offering a pathway to more effective modeling of quantum phenomena. This work represents a significant step towards a dynamic and adaptable mathematical model for these complex systems.

DOI: 10.5281/zenodo.22195257

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