Universal Scaling Resonance in Quark-Gluon Plasma: Evidence for Cross-Domain Energy Organization at the 0.02-Harmonic Scale

This study investigates the resonance structure of quark–gluon plasma (QGP) using high-precision signal processing applied to experimental high-energy collision datasets. QGP, a deconfined state of quarks and gluons predicted by quantum chromodynamics (QCD), is typically studied through bulk observables such as particle spectra and correlation functions. Here, we focus on extracting and characterizing fine-scale temporal and spectral features within event profiles to determine whether persistent resonance modes exist across independent datasets. Our methodology combines Hilbert transform envelope extraction, Fourier and wavelet analysis, and autocorrelation-based harmonic detection to identify stable periodic structures within QGP signals. The analysis reveals statistically significant harmonic peaks that align with a fractal-dimension scaling constant , previously observed in both microscopic and cosmological systems. This potential universality suggests that QGP resonance behavior may be linked to scale-invariant field dynamics that transcend energy scale boundaries. The results are supported by rigorous statistical testing to exclude random noise artifacts and instrument-specific effects. A complete, reproducible Google Colab notebook containing the full analysis pipeline and processed data is available upon request, enabling independent verification. This work provides both a methodological framework for high-resolution QGP signal analysis and a possible bridge between QCD-scale dynamics and broader scale-invariant physical laws.