Three Densities on One Bench: The Planck Density, the Aldred Density, and Lambda, Priced

This paper puts three density scales on one bench and does the arithmetic, and nothing else — and it says so at full size, because arithmetic honestly fenced is worth more than a claim loosely made. The three scales are: the Planck density, rho_P = c^5/(hbar G^2), the ceiling the constants define; the Aldred density, the bounce density of my programme's torsion-regulated cosmology — rho_A = 9.7e54 g/cm^3 for neutron matter, spent here as a declared input taken from the Aldred Limit paper at its stated conventions — where the effective density of collapsing matter turns over and vanishes; and the observed vacuum density, rho_Lambda = 5.845006e-30 g/cm^3, spent as a declared fit input from this run's declared cosmological values. My bench returns the scales and every ratio among them. The Planck density: 5.154849e+93 g/cm^3. The three ratios: rho_P/rho_A = 5.314277e+38 (38.725444 dex); rho_A/rho_Lambda = 1.659536e+84 (84.219987 dex); rho_P/rho_Lambda = 8.819236e+122 (122.945431 dex). The bench also runs the Aldred scaling relation as consistency arithmetic: the declared rho_A sits where the source paper's formula puts it, at rho_P suppressed by the squared neutron-to-Planck mass ratio, (m_n/m_P)^2 = 5.922443e-39, divided by 8 pi times a coefficient the bench back-solves at 0.125229 — consistency with the source's stated conventions, printed as consistency and claimed as nothing more. That is the whole result: the Aldred density stands 38.725444 dex under the Planck ceiling and 84.219987 dex over the vacuum floor, an intermediate scale fixed by a carrier mass rather than by a fit to the sky — and no claim beyond the arithmetic is made anywhere in this paper: no bridge between the scales is derived, no vacuum mechanism is implied, and the bounce's own claims stand at their own address in the source paper, neither raised nor lowered here. Grade, printed at full size: PRICED — ARITHMETIC ONLY / STILL TURNING. The program headline stands unmoved: vacuum catastrophe NOT SOLVED / PARTIAL, producing-count 0.