Title: Geometric Phase Field Theory with Wavefunction Reconstruction

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper presents a novel geometric phase field theory framework, centered around the concept of a 'Geometric Wavefunction Mapping' – a method for reconstructing the underlying wavefunction of complex systems directly from geometric properties. We explore how these properties, when properly mapped, can reveal fundamental quantum states and facilitate a deeper understanding of entanglement. The core mechanism involves a precise mapping process, aiming to establish a robust connection between geometric configurations and quantum states. This work proposes a shift from traditional wavefunction methods to a fundamentally geometric approach, potentially offering a more intuitive and powerful means of analyzing quantum systems. The investigation focuses on the potential for this technique to address challenges inherent in current wavefunction-based methods, particularly in handling highly complex systems and intractable quantum states. We outline the theoretical foundation, initial implementation, and preliminary results demonstrating the efficacy of the proposed method.

DOI: 10.5281/zenodo.22154780

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