Title: Non-Euclidean Statistical Analysis of Quantum Field Distributions

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This research delves into the complexities of quantum field distributions, seeking to develop a novel statistical framework capable of accurately modeling and predicting the distribution of fluctuations across a vast space. Traditional statistical methods often fall short in capturing the subtle, non-Euclidean geometries that underpin quantum mechanics. This paper proposes a "Dimensional Resonance" algorithm, designed to identify patterns within fluctuating fields by mapping them onto a complex, multi-dimensional space, and introducing a novel measure of distance that goes beyond conventional Euclidean geometry. The goal is to move beyond merely describing distribution, towards revealing hidden correlations and potential predictive capabilities. This investigation utilizes a rigorous mathematical framework and explores the potential of this approach to address limitations in current statistical analysis of quantum field behavior.

DOI: 10.5281/zenodo.22638408

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