Quantum Complexity Theory via Non-Linear Topology

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the intersection of quantum mechanics and complex systems, proposing a novel mathematical framework centered on the concept of non-linear topological structures. We aim to develop a robust and quantifiable method for understanding and predicting the behavior of systems exhibiting quantum-like properties, leveraging the representation of 'Quantum Knots' to model their evolution. The core mechanism involves incorporating elements of non-linearity to mimic quantum effects, offering a potential pathway for advanced theoretical understanding and predictive modeling. This work addresses a longstanding challenge in both fields, aiming to provide a fundamentally new perspective on the interplay between these disciplines.

DOI: 10.5281/zenodo.22298781

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