Quantum-Enhanced Geometry of Self-Organizing Systems

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Quantum-enhanced geometry offers a novel framework for understanding and manipulating the geometric properties of self-organizing systems, particularly cellular automata. This research investigates the potential of quantum mechanics to dynamically adjust geometric structures during the emergence of patterns, offering a departure from traditional classical approaches. We introduce a "quantum-guided geometry" algorithm, leveraging quantum effects to reveal subtle geometric correlations that are currently obscured by classical analysis. This work focuses on demonstrating how this approach can enhance the visualization and analysis of self-organization processes, providing a new lens for exploring complex dynamics. The core claim is that this quantum-enhanced geometry provides a fundamentally different perspective on the behavior of these systems, potentially unlocking new insights into their formation and evolution.

DOI: 10.5281/zenodo.22317774

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