Title: Non-Euclidean Probability Space Theory for Quantum State Collapse

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum state collapse is a fundamental and perplexing problem in quantum mechanics, presenting a challenge to our understanding of measurement and observation. This paper explores a novel mathematical framework – Non-Euclidean Probability Space Theory – designed to provide a rigorous and predictive model for this process. We propose a new formalism rooted in conformal field theory, aiming to bridge the gap between standard quantum mechanics and the observed probabilistic nature of quantum states. The core claim is that this theory offers a fundamentally new perspective, extending beyond the limitations of conventional approaches by embracing the geometry inherent in quantum systems. This work aims to provide a mathematically precise description of quantum state collapse, potentially enabling the development of new quantum algorithms and a deeper comprehension of the underlying mechanisms.

DOI: 10.5281/zenodo.22294019

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