Prediction-Locked Preregistration of a Two-Stage Hard-Band Residual Morphology Test in PSR J0740+6620 Derived from the Space-Gravity Relation Hypothesis (SGH): v3 Post-Analysis Result Report

This v3 addendum reports the post-analysis result of the model-supported PSR J0740+6620 proxy analysis under the Space-Gravity Relation Hypothesis (SGH) preregistration chain. The official locked X-PSI expected-count model available for this analysis supports PI channels 30–149, corresponding approximately to 0.30–1.50 keV. Therefore, the originally intended higher-energy hard-band prediction at 1.80–3.00 keV could not be tested directly in this J0740 analysis. Within the model-supported proxy hard band, PI 100–149 / 1.00–1.50 keV, and the locked phase sector, bins 20–31, the Tier-1 result was weakly positive but statistically neutral: A_hard,J0740 = 0.0025819771, approximate Poisson significance = 0.867σ, and J0740/J0437 corrected reference amplitude ratio ≈ 0.392. The Tier-1 proxy result is therefore reported as neutral and is not presented as supportive evidence for SGH. An exploratory Tier-2 diagnostic scan is included for transparency only. The strongest local positive diagnostic window was found in the hard 1.00–1.50 keV band over phase bins 25–28, with an approximate local significance of 2.728σ. Because this window was identified after scanning 1,344 overlapping windows, it is not treated as globally significant and is not presented as a detection. The original higher-energy SGH prediction remains untested by the present J0740 analysis. The next step is to identify a suitable PSR dataset and expected-count model pipeline with hard-band support extending to approximately 3 keV, enabling a direct apples-to-apples test of the original prediction. This result does not prove SGH, does not disprove GR, and does not exclude conventional model or systematic explanations for any observed residual structure.