Search for Scale-Invariant Oscillations at 9.17 GHz in B0 → J/ψKS Decays at ATLAS Using SAF and SSQ-Z

This note describes the Spectral Analysis Framework (SAF) and State-Selective Quantum Filter (SSQ-Z) to detect scale-invariant oscillations in the CP asymmetry, ACP(t), ofB0 → J/ψKS decays at ATLAS during HL-LHC (2026–2032). Motivated by CMS anomalies in B0 decays (2.3σ, 137 fb−1) [2], LHCb excesses (2.1σ, Run 2) [3], and the HarmonicOntological Theory (T.A.O.) [1], the analysis targets oscillations at f ≈ 1.46 GHz (τ ≈ 0.685ns) and an harmonic at f ≈ 9.17 GHz (τ ≈ 0.109 ns), potentially linked to α ≈ 1/137. Asimulation for 9.17 GHz, using an enhanced SAF kernel (100 harmonics, n−1.5), achievesa p-value of ∼ 0.008 (< 0.01) with 2.6 × 106events (300 fb−1). Results include a Fourierspectrum showing a peak at 9.17 GHz, supporting the ATLAS-LHCb collaboration for Run3 data analysis.