ΔP_間 Hypothesis: A Complete Record of Exploration, Error, and Correction — From Intuition to Data, Including Every Stumble

This paper is a complete chronological record of one day's exploration of the ΔP_間 hypothesis (Katayama Dual-Universe / Genki Universe), including the original overstatement, same-day correction, revised residual analysis, and the final honest assessment that the primary prediction (positive energy excess in AGN jet output) was NOT supported by NASA Fermi 4LAC-DR3 data. LSP class showed negative skewness (-0.82), contradicting the upward-excess prediction. A post-hoc modification proposed by ChatGPT (redefining ΔP_間 as a 'distribution-shaping term') was considered and rejected on falsifiability grounds. This record documents: overstatement (DOI 19714365), correction (DOI 19714546), revised analysis, refutation of primary prediction, and the decision to accept rather than rescue. Published because the stumbles are part of the evidence that the exploration is genuine.

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