A Galaxy Law Tied to Dark Energy, and a Map of What It Leaves Unexplained (Working Note)

Working note, version 1.0 (2026-11-02). AI-assisted research programme; not peer reviewed; not reproduced by any outside group. kappa = 1/2 is fitted; the theory is not closed; nothing here says the data favour this framework over any other. A programme report after its own final grade. The galaxy law g_N = g^2/(g + a0), with a0 = kappa c sqrt(G rho_DE), is MOND's simple form with a proposed origin for its scale, proposed earlier by other authors. It describes isolated disc galaxies well on the canonical footing, and its tie to dark energy has no decisive test yet. It fails IC 1613, several Local Group classes, cluster shear, X-COP (factor 2.93) and the unscreened Solar System, its Milky Way result depends on a vertical form it doesn't supply, and it has no action and no account of the CMB. The cold sector built to cover those failed on measured data and is retired. The note gives the scorecard, the two walls, the covariant attempts on record, twelve requirements for any successor and the dated tests that can still kill the law. It is numerical evidence for the families tried, not a no-go theorem. One lane (AR1) had not finished at deposit.