Title: Non-Euclidean Quantum State Collapse – Enhanced Measurement Theory

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper investigates the potential for utilizing non-Euclidean geometry to significantly enhance our understanding of quantum state collapse. Current quantum mechanics, predicated on Euclidean geometry, struggles to adequately model the probabilistic nature of entanglement and the collapse of quantum states. We propose a novel mathematical framework, incorporating non-Euclidean geometry, to represent and analyze the evolution of quantum states. The core claim is that this framework will allow for a more precise description of the collapse process and provide a deeper, more accurate understanding of the underlying physics. We will explore how this approach addresses the limitations of current models and offers a pathway toward improved predictions of measurement outcomes. The paper will detail the mathematical foundations of this approach, including the representation of entangled states within a non-Euclidean space, and demonstrate the potential for enhanced predictive capabilities.

DOI: 10.5281/zenodo.22576553

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