Geometric Phase Transitions – Beyond the Classical Model

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Geometric phase transitions, a burgeoning field in theoretical physics, seeks to bridge the gap between classical mechanics and the complex behavior of quantum systems. This paper proposes a novel mathematical framework, centered around the concept of geometric phase transitions, to address the limitations of traditional approaches. We introduce a new tool, the "Geometric Evolution Landscape" (GEL), that mathematically models the transition points of a system, moving beyond simple temperature dependence and incorporating geometric properties that significantly influence the dynamics. This approach offers a potential pathway to understanding transitions in systems characterized by intricate geometries and potentially exhibiting non-equilibrium behavior. The paper details the core mechanism, provides a preliminary mathematical model, and discusses the implications of this new perspective for various physical systems.

DOI: 10.5281/zenodo.22199721

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