Universal φᵐ Scaling Fingerprint Replicates Across Physical Domains

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Authors: Maxime Simeon Rerich
Cited by: 0

Abstract

We report a universal scaling fingerprint based on a φᵐ-indexed representation,revealing an invariant quantity Q(m)=mΔ(m) across three physically unrelated domains:electronic voltage noise, turbulent flow, and seismic activity.Despite differences in underlying dynamics, characteristic scales, and noise structure,all three systems converge to a constant value Q ≈ 2 over the same exponent range.Bootstrap resampling confirms the robustness of the invariant,while multiple control bases fail to reproduce the observed collapse.These results indicate a non-trivial, domain-independent scaling structurethat is not captured by conventional power-law fitting alone.

Fields of Study & Subjects

Theoretical and Computational Physics Forensic Fingerprint Detection Methods Benford’s Law and Fraud Detection

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
6 January 2026