One Band, Three Dwarfs: The Velocity-Dependent Cross Section, Priced Jointly

The velocity-dependent self-interaction cross-section machinery of #281 and its two weightings from #434 are run jointly over the three dwarf systems the house has priced singly: the satellite sample of arXiv:2503.13650 (cold scale 10 km/s), Sculptor (arXiv:2508.20711, priced in #278) and Fornax (astro-ph/0107479, priced in #307) — the latter two being classical dwarfs inside the satellite sample itself, read at its classical scale of 50 km/s (declared). One (sigma0, w) point must clear every row at once: at the 95% anchor (w=10 km/s, sigma0/m=0.8 cm2/g) the joint band runs 0.400 / 0.309 / 0.381 cm2/g (total / transfer / viscosity) at 10 km/s down to 0.031 / 0.0059 / 0.0117 at 50 km/s; the weakened decisive corner (sigma0/m=10) reaches 5.000 at the cold scale only by paying 0.385 / 0.0735 / 0.1458 at the classical scale. Three single-system prices become one simultaneous band; no new fit is performed and none is claimed. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.