Title: Non-Euclidean Wave Function Collapse for Quantum State Collapse
Jincheng Zhang
Abstract
This paper investigates the implications of non-Euclidean wave function collapse for quantum systems, extending the concept of collapse beyond the conventional Euclidean space. We propose a novel theoretical framework predicated on the notion that wave function collapse is not solely determined by the system's inherent state, but rather driven by the geometry of the underlying space. This framework, termed the "Quantum Space Geometry," aims to provide a more complete and potentially more intuitive understanding of quantum phenomena. The paper will outline the core mechanism of this geometric approach, its theoretical implications, and preliminary explorations of its potential impact on established quantum models. We will discuss the challenges and opportunities presented by this new perspective, emphasizing its potential to bridge the gap between classical and quantum mechanics.