What question did this study set out to answer?

This research aims to explore numerical relationships between fundamental particle masses and mathematical constants across various fields.

April 7, 2026Open Access

Numerical Coincidences and Scale-Free Measurements Across Physical Domains

Key Points

This research aims to explore numerical relationships between fundamental particle masses and mathematical constants across various fields.
Analyzed particle masses sourced from the Particle Data Group (PDG 2024)
Performed Detrended Fluctuation Analysis (DFA) on datasets from 15 physical and biological domains
Computed DFA exponents using publicly available data
Identified specific numerical ratios between particle masses and mathematical constants like pi and phi
Found consistent DFA measurements suggesting scale-free behavior across diverse domains
No theoretical claims were made regarding the significance of the findings

Abstract

We report numerical ratios between fundamental particle masses and mathematicalconstants (pi, phi), alongside Detrended Fluctuation Analysis (DFA) measurementsacross 15 physical and biological domains. All particle masses are from the ParticleData Group (PDG 2024). All DFA exponents are computed from publicly availabledatasets. We make no theoretical claims. We present numbers.

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