Title: Fractal Dimension as a Quantum Field Parameter

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper explores the potential of fractal dimension as a quantum field parameter, proposing a novel algorithm that utilizes quantum entanglement to establish a non-local, probabilistic connection between the field's structure and its fractal properties. The core claim is that quantifying the fractal dimension of a field using this approach offers a radically different perspective compared to traditional methods, potentially unveiling previously unseen patterns and complexities within the field's geometry. We outline the algorithm's methodology, detailing the use of quantum entanglement to generate a probabilistic field that evolves in response to the data, ultimately leading to a refined fractal dimension estimate. This work addresses fundamental questions about the relationship between geometry, quantum mechanics, and the representation of complex systems.

DOI: 10.5281/zenodo.22498702

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