Adaptive Topological Field Theory – Dynamic Topology

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper presents an innovative framework for Topological Field Theory (TFT) based on quantum entanglement, allowing for dynamic adjustment of topological field configurations based on measurement. We introduce the concept of "Quantum Entanglement Topology" – a novel mechanism that leverages quantum entanglement to induce localized, adaptive transformations in the topological field. This approach offers a significant departure from traditional TFT approaches, potentially unlocking deeper geometric insights and providing a pathway to precise prediction of topological structure. The core mechanism relies on establishing a quantum entanglement connection between the field and the measurement process, enabling the field to subtly adjust its shape in response to external influences. This work aims to go beyond the limitations of static geometric transformations in TFT, providing a framework for complex geometric manipulation and enhanced predictive capabilities. We explore the implications of this dynamic approach on the fundamental nature of topological fields.

DOI: 10.5281/zenodo.22199305

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