Title: Topological Field Theory with Adaptive Symmetry

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores a novel framework for constructing and manipulating topological field theories, aiming to unlock the creation of complex, dynamically evolving quantum states through intrinsic symmetry. We propose a dynamically adjusted 'topological metric' that adapts to the underlying field's structure, enabling self-organization and emergent properties. The core mechanism involves quantifying and manipulating the field's topology through a continuous, adaptive process, fundamentally shifting the landscape of quantum behavior. This approach addresses limitations of existing methods by offering a pathway towards generating novel quantum states with unprecedented control and potential for complex dynamics. The theoretical groundwork is built upon the principles of topological quantum field theory and explores the design of a metric that embodies this dynamic adjustment. We present preliminary results demonstrating the effectiveness of this framework in generating specific topological states, highlighting its potential for advanced quantum simulation and the creation of fundamentally new quantum phenomena.

DOI: 10.5281/zenodo.22273433

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