Non-Linear Geometric Topology: A Quantum Theory
Jincheng Zhang
Abstract
This paper introduces a novel quantum geometric topology theory to describe the quantum properties of non-linear geometric objects. We propose a framework incorporating quantum entanglement and topological structures, utilizing quantum entanglement as a key mechanism for generating and analyzing quantum states. The core claim is that quantum-enhanced geometric topology offers a fundamentally new computational paradigm. This research explores how entanglement can be leveraged to create robust and efficient quantum geometric calculations, offering a potential advancement over traditional methods. This work investigates the implications of this framework for understanding and potentially manipulating quantum properties within non-linear geometric systems.