Title: Topological Quantum Field Theory with Adaptive Constraint Propagation

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Abstract: Topological Quantum Field Theory (TQFT) offers a promising avenue for exploring novel quantum phenomena beyond the limitations of traditional approaches. This paper introduces a novel topological quantum field theory framework, "Dynamic Topology," that dynamically adapts constraint propagation across complex spacetime geometries. We propose a new algorithm that iteratively constructs and refines a topological structure, enabling the creation of fundamentally new quantum phenomena. The core mechanism centers on a 'Dynamic Topology' algorithm that continuously adjusts constraints to maintain a stable, high-dimensional topological landscape. This approach contrasts with traditional static constraint application, potentially unlocking entirely new physics by leveraging the inherent topological properties of space. We analyze the algorithm's performance through simulations and present preliminary results demonstrating the framework's ability to generate unusual topological states.

DOI: 10.5281/zenodo.22480800

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