The Count at the Governing Density: The Cross-Section Band Re-Priced and Three New Routes to the Missing Statement

The closure audit of the surviving vacuum count (DOI 10.5281/zenodo.24164309) left the problem at the governing repaired density, rho_A = 2.92 x 10^55 g/cm^3, with two priced addresses and one explicit debt: the interaction form of the kinetic requirement, the momentum-transfer band sigma_mt(cap) in [2.13, 2.65] x 10^-69 m^2, stood denominated at the superseded published density, its re-pricing owed and not claimed. This paper pays that debt and attacks the standing addresses by three routes neither the November road nor the audit ran: an exact-transport census of the premise pair's diffusion dress, a propagation-speed bound, and a category check of the Circulation Mill bench route. The re-pricing is exact scaling, gated by reproducing the record's printed sigma_req(cap) = 2.32068 x 10^-69 m^2 before any repaired value is quoted: at the governing density the band is [7.10, 8.83] x 10^-70 m^2, the Hehl-Datta tree value rises to 7.75 x 10^-82 m^2, and the in-medium enhancement production requires falls from 6.23 x 10^12 to 9.98 x 10^11 in cross-section (9.99 x 10^5 in amplitude); the bracket's near end stands at 9.98 x 10^11 l_T against a production window at lambda in [0.9763, 0.9890] l_T. The transport census replaces the dress's dimensional settling estimate by the exact statistics of the diffusion problem: the statistic the inventory identity (Little's law) takes is the mean first passage, which at the standard kinetic diffusivity D = c*lambda/3 reproduces the filed ratio tau_s/tau_x = 6.3287 exactly, and every other exact variant returns a ratio outside all four T = 283 sub-bands at the (alpha) seed; the correction factor the nearest window needs, F in [1.0112, 1.0243], is returned by no combination in the census. The speed route needs a carrier dispersion of 1.1-2.4%; the frame's carriers at the cap are ultra-relativistic with a speed correction of 3.7 x 10^-27, short by more than 24 orders of magnitude. The mill route is a category error: Circ_sigma denominates the Theta flux law, not the count. Verdict: the count is not produced; the gap stands where the audit left it, with the debt paid, the falsifiers re-denominated, and the transport family closed at eigenvalue precision.