Quantum Topological Geometry: A Dynamic Topology-Based Computation Framework

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum Topological Geometry (QTG) proposes a novel computational framework leveraging the principles of dynamic topology and quantum entanglement to achieve unprecedented precision in the simulation and control of complex geometric systems. This framework utilizes a dynamically generated topology through a novel algorithm, coupled with quantum entanglement to facilitate precise, localized and global calculations. The core claim of this work is that QTG offers a pathway to surpass current limitations in geometric computation, opening up new possibilities for research and applications in areas such as topological data analysis, geometry verification, and the design of novel geometric structures. This paper details the methodology, explores its potential benefits, and discusses future directions for this transformative computational approach.

DOI: 10.5281/zenodo.22294653

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