Universal φᵐ Scaling Fingerprint Replicates Across Physical Domains
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