Title: Non-Local Geometric Phase Transitions

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper investigates the complexities of non-local geometric phase transitions, a rapidly growing field of research with significant implications for various scientific disciplines. The core claim centers on the development of a novel framework for analyzing these transitions, leveraging a dynamically evolving 'geometry' to predict and control transition rates. Traditional approaches often rely on static models, limiting our ability to effectively understand and manipulate these phenomena. This work proposes a fundamentally new approach that actively shapes the system's geometry, offering a significant advancement in predictive capabilities. We introduce a 'geometric coherence field' that adjusts the geometry based on the phase transition, providing a more precise and adaptable modeling strategy. The research explores the practical application of this framework through simulations and analysis, demonstrating the potential for improved control over transition rates. This paper offers a foundational contribution to the understanding and management of non-local geometric phase transitions.

DOI: 10.5281/zenodo.22519435

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