Gravity Tests and Gravitational Collapse: What Three Preprints of 14 September 2026 Establish

This technical review examines three gravity preprints submitted on 14 September 2026: a lunar laser ranging test of equal free fall, a charged-binary inspiral waveform analysis, and a theorem on nonspherical perturbations of self-similar naked-singularity backgrounds. It distinguishes the observational constraints, adopted modeling assumptions, and mathematical scope of the results. Self-contained worked examples derive signal attenuation under nuisance-parameter fitting, the charge-difference dependence of leading electric-dipole radiation, the interpretation of a positive posterior median under a nonnegative prior, and the scaling of localized perturbations in Hölder and Sobolev norms. Three original explanatory figures and reproducible numerical checks accompany the manuscript. The focal sources are pinned to their first arXiv versions. The PDF and source archive contain a technical review and the worked examples described above.