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