Title: Geometric Group Theory for Quantum State Collapse Analysis

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum state collapse is a fundamental problem in quantum mechanics, challenging our understanding of how quantum systems transition from a superposition of states to a definite outcome. This paper explores the application of geometric group theory to analyze this process, proposing a novel mathematical framework that offers a potentially more robust and intuitive model. The core claim is to develop a new mathematical framework for analyzing the collapse of quantum states, leveraging geometric group theory to understand the probabilistic nature of quantum processes. This involves creating a set of geometric transformations that can be applied to quantum states and deriving a probabilistic model based on these transformations. The paper details the theoretical foundation, proposes a specific geometric transformation scheme, and provides a preliminary analysis of its potential implications for understanding collapse. We argue that this approach enhances our ability to model and predict the behavior of quantum systems, particularly in the context of collapse analysis.

DOI: 10.5281/zenodo.22485491

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