Geometric Chaos of Quantum Observables

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum mechanics, while remarkably successful, presents a profound challenge: the inherent unpredictability of its outcomes. This paper explores the concept of geometric chaos, a novel approach to quantifying this unpredictability by directly analyzing the geometric structure of quantum states. We propose a new mathematical representation of quantum states that incorporates geometric properties to reveal patterns of randomness, ultimately demonstrating that the state space of a quantum system is not deterministic but rather exhibits complex, non-intuitive patterns. We present a preliminary framework for this analysis and discuss its potential implications for our understanding of quantum mechanics.

DOI: 10.5281/zenodo.22637826

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