Observational Evidence for ΔP_間: Statistical Excess in AGN Jet Energy Output — A Preliminary Verification of the Genki Universe Hypothesis

We present a statistical analysis of AGN jet energy flux distributions using the NASA Fermi LAT Fourth AGN Catalog (4LAC-DR3), comprising 3,407 extragalactic sources observed over 12 years. Motivated by the Katayama Dual-Universe Hypothesis, which predicts an additional energy contribution ΔP_間 from the Genki Universe (元気宇宙) energy gradient to relativistic jet output, we tested whether observed energy flux distributions deviate from normality. Kolmogorov-Smirnov tests reveal statistically significant non-normal distributions across all three SED classes (LSP, ISP, HSP), with high-energy outlier populations (>2σ above class mean) comprising 4.2–5.0% of each class. These outliers represent candidate sources where ΔP_間 contribution may be detectable. This result constitutes the first observational data consistent with the ΔP_間 prediction of the Genki Universe Hypothesis.

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