The Consequence Tree of the Aldred Limit: What Follows from the Spin–Density Bound, in Dependency Order, Graded Branch by Branch

The Aldred Limit — the Einstein–Cartan spin–density bound rho_A ≈ 10^55 g cm^-3, pinned with a scaling law in the author's flagship paper (concept DOI 10.5281/zenodo.23485324) and currently under review — is the root of a research program whose results are scattered across cosmology, the vacuum-density problem, the large-angle microwave sky, and a navigation theory built on a fifth coordinate. This paper assembles those results into a single consequence tree: every claim the program rests on the Limit, stated in dependency order, with the derivation step shown, a grade (DERIVED, CONSTRAINED, or NOT DERIVED), and the observation or computation that would falsify it. Three consequences are derived for the first time: the evaluation of the flagship's carrier scaling law for non-neutron matter, which makes the bounce density a computed property of the collapsing matter's composition (an electron spin fluid turns at 2.88e48 g cm^-3; a 0.1 eV neutrino fluid at 1.10e35 g cm^-3); the turnover identity — in the dust register, the density at which the effective gravitating density peaks and the density at which the null-energy combination reverses sign are the same density, rho_A/2, controlled by a single factor; and the epoch-pair corollary of the Theta dictionary, under which a measured polarization rotation is a property of an epoch pair, not a universal constant. The tree's failures are printed at the same size as its derivations: the founding-profile account of the CMB Cold Spot at multipoles {2, 3} is FAILED, executed by pre-registered falsifier F-CS1 on the Planck sky; the vacuum count N* = 281.1079 is NOT DERIVED (the closest owned count misses by 5.8921 counts); the residue factor 1.027500 is NOT DERIVED; the value of Theta is NOT DERIVED; the founding profile's shape is NOT DERIVED; and no instrument reads the fifth coordinate — its error budget is simulated, not measured.