A Minimal Generator for the φᵐ Scaling Invariant

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Authors: Maxime Simeon Rerich
Cited by: 0

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