Non-Linear Geometric Topology Framework for Quantum Entanglement
Jincheng Zhang
Abstract
This paper investigates the potential of a non-linear geometric topology framework to model quantum entanglement, offering a departure from traditional quantum mechanics by explicitly linking entanglement to topological structure. We propose a novel mechanism involving "topological geometry transformations" that dynamically drives the evolution of quantum states, leading to a more robust and potentially deeper understanding of entanglement. The core claim is that this framework provides a new perspective on quantum information and computation, moving beyond classical interpretations. We discuss the implications of this approach for developing robust quantum algorithms and exploring fundamental aspects of quantum mechanics.