ECOF Prediction: RK Correlation with LHC Operational Parameters

Abstract The Energy-Consciousness Observer Framework (ECOF) predicts that lepton universality ratios, which test the Standard Model's assumption of equal coupling to all lepton families, should exhibit systematic correlations with LHC operational parameters. This paper presents a testable prediction for LHCb Run 3 B→K*ℓℓ data: the ratio RK = BR (B→K*μμ) /BR (B→K*ee) should vary measurably with LHC fill duration, showing approximately 0. 3% higher values in long-duration fills (>10 hours) compared to short-duration fills (<5 hours). This prediction is grounded in ECOF's mass-dependent observer-field coupling (κ ∝ m_ℓ), which implies that muon and electron channels respond differently to coherence accumulation during extended experimental runs. The Standard Model predicts RK ≡ 1. 00 with no operational dependence, making this a sharp discriminator between frameworks. We specify falsification criteria, including null tests with time-scrambled data and control channels, to distinguish genuine ECOF signatures from systematic detector effects