What question did this study set out to answer?

To verify the existence of a discrete lattice in fluid fields using statistical methods.

May 3, 2026Open Access

Statistical Verification of Discrete Geometry in Turbulent Fields and Demonstration of Cosmic Computational Load — Cross-Validation of 140 Million Samples Using JHTDB and ERA5 —

Key Points

To verify the existence of a discrete lattice in fluid fields using statistical methods.
Cross-validation approach using Direct Numerical Simulation (DNS) data from JHTDB and ERA5.
Analysis of over 145.51 million velocity vectors to assess statistical significance.
Use of specific geometric updating processes, particularly Phase-14 Optimization.
Statistical significance of 648.44 sigma in the ERA5 dataset.
Statistical significance of 168.94 sigma in the JHTDB dataset.
Findings refute the idea that spatial discreteness is merely a computational artifact.

Abstract

This study statistically verified the existence of a discrete lattice, defined by the constant Delta = 0.010638, within fluid fields through a cross-validation approach using Direct Numerical Simulation (DNS) data from the Johns Hopkins Turbulence Databases (JHTDB) and global atmospheric reanalysis data from the European Centre for Medium-Range Weather Forecasts (ERA5). Analysis of over 145.51 million velocity vectors identified a statistical significance of 648.44 sigma in the ERA5 dataset and 168.94 sigma in the JHTDB dataset. The results demonstrate that specific geometric updating processes (Phase-14 Optimization) govern macroscopic geophysical phenomena, refuting the hypothesis that spatial discreteness is a computational artifact.

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