A Minimal Generator for the φᵐ Scaling Invariant
Abstract
A universal scaling fingerprint characterized by the invariant quantityQ(m)=mΔ(m)≈2 has recently been observed across multiple physically unrelated systems.In this work we introduce a minimal abstract generator capable of producingthis invariant without invoking any domain-specific dynamics.The model is based on discrete scale indexing and a weakly damped recursiveevolution of local scaling quantities.Under these minimal assumptions the invariant emerges as a stable fixed point.
Fields of Study & Subjects
Theoretical and Computational Physics
Biometric Identification and Security
Cellular Automata and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 6 January 2026