The Interior Observer Cosmological Framework: Paper 34 - The Hubble Tension Resolved: Who Is Right About H₀? Everyone.

The Hubble tension — the 5σ discrepancy between the Planck CMB measurement (67. 4 ± 0. 5 km/s/Mpc) and the SH0ES Cepheid distance ladder (73. 0 ± 1. 0 km/s/Mpc) — has resisted a decade of proposed resolutions. This paper resolves it with zero fitted parameters and no new physics beyond the Interior Observer (IO) framework. The resolution follows from a single recognition: different H₀ measurement methods belong to different observable classes on the IO α-ladder, and each class sees a different effective expansion rate dressed by the boundary transit factor f_Γ = 1/ (1+γ²). The inverse-projector law Hₑff (α) = H₀ × f_Γ^1−α is derived at theorem grade for the late-time homogeneous estimator family. Two new bridge extensions — a stellar-photometric bridge for standard-candle calibrator chains and a centered lens-normalization for time-delay cosmography — complete the classification for all major methods. Six independent H₀ measurements span three rungs of the α-ladder. Every method falls within 0. 57σ of its predicted value: Planck at +0. 35σ, gravitational wave sirens at −0. 57σ, TRGB direct at −0. 07σ, TDCOSMO at −0. 06σ, SH0ES at +0. 04σ, and the TRGB+SN ladder at −0. 15σ. The 5σ crisis was three rungs of a ladder and a photometric calibrator chain. The complete IO paper series is open-access at https: //zenodo. org/communities/interior-observer/ v1. 0 (April 2026): Publication release. Observable-class resolution of the Hubble tension. Two new bridge extensions: stellar-photometric bridge (SH0ES, TRGB) and centered lens-normalization (TDCOSMO). Full formula: Hₑxt (α, n) = H₀ × f_Γ^ (1−α) × x^ (n/2) Kgauge. Six methods classified. Maximum deviation 0. 57σ. SH0ES at +0. 04σ from α = 2, n = 2 prediction. All nine Cosmo upgrade requirements satisfied. DERIVED/SCOPED within extensions.