Title: Topological Field Theory for Time-Varying Quantum States

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Traditional quantum field theory (QFT) often fails to adequately describe time-varying quantum states, presenting challenges in accurately modeling phenomena like quantum tunneling and phase transitions. This paper introduces a novel topological field theory framework that leverages topological properties to represent and evolve quantum states, offering a robust and elegant solution to this problem. We propose a new approach that constructs a topological group representing the state evolution, enabling the representation of states that change with time. This framework demonstrates significant advancements in the understanding and modeling of quantum dynamics, potentially yielding new insights into fundamental physics.

DOI: 10.5281/zenodo.22251865

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