The Interior Observer Cosmological Framework Paper 35 - Four Problems, One Horizon Baryogenesis, Impossible Galaxies, Dark Energy, and the Dark Matter Null from Inside a Schwarzschild Horizon

The Interior Observer (IO) framework — 34 papers deriving cosmological observables from boundary quantum data with zero fitted parameters — is applied to four open problems in cosmology. First, the baryon-to-photon ratio. IO derives η = 5. 749 × 10⁻¹⁰ at theorem grade from the geometric baryon fraction fb = 2γ/x and the observer-side CMB temperature (DERIVED/SCOPED, 5. 7% from Planck). The Temperature Assignment Theorem proves BBN nuclear reactions see the bulk-frame temperature TIO = 2. 6635 K, giving ηBBN = 6. 151 × 10⁻¹⁰ (DERIVED/SCOPED, 0. 8% cross-typed agreement with Planck). The single imported constant γBI = 0. 2375 was fixed by Immirzi (1997) for entropy counting — not tuned to any cosmological observable — and has since co-determined TCMB, ρ_Λ, fb, three BBN abundances, nₛ, Aₛ, ΣIO, S₈, and the Hubble tension resolution. The baryogenesis mechanism is investigated to exhaustion: 30+ theorem-grade artifacts trace the obstruction through thermal leptogenesis, the type-I seesaw portal, and CP-asymmetry factorization to a single topological datum — the spinᶜ residual class on the horizon's U (1) bundle, currently rigid at zero. Two exact future routes are identified. Second, JWST impossible galaxies. The IO formation clock provides 46–48% more cosmic time than ΛCDM at z > 10, materially easing the timing pressure for massive high-redshift galaxies discovered by JWST. Third, DESI and dark energy. An early IO prediction of observer-side w = −1/3 from ρ_Λ ∝ 1/a² is corrected: the active Paper 10 legacy branch carries w = −1 in the observer frame (χ² = 69. 48 against DESI DR2 BAO). The ρ_Λ ∝ 1/R² law lives on the hidden support variable, not the observer's scale factor. This correction is documented with the same rigor as IO's successes. Fourth, the dark matter null. The IO geometric alternative predicts continued null results from direct detection experiments (LZ, XENON-nT, PandaX-4T). Next-generation experiments (DARWIN, XLZD) are predicted to reach the neutrino floor without a WIMP detection. A clean detection would falsify the IO geometric dark-matter sector. The complete IO paper series is open-access at https: //zenodo. org/communities/interior-observer/. v1. 2 (May 2026): R4 / FIRAS readout-normalization correction sweep inherited from Paper 17 v1. 5. Paper 35 v1. 1 carried the retired claim that the observer-side photon bath temperature Tₒbs = TIO × xKgauge = 2. 7253 K is an independent IO prediction at theorem grade. Paper 17 v1. 5 retired that claim: the optical readout normalization R4 is not derived from the modular-projection stack, and the active observer-side readout family is Tₒbs (R4) = TIO × x^ (R4 Kgauge) with R4 fixed by FIRAS via Theorem 17. 2 to R4FIRAS = 1. 0031 ± 0. 0096. The observed CMB temperature is therefore not counted as an independent IO prediction; Tₒbs = TFIRAS = 2. 7255 K is the FIRAS-fixed observer-side readout, propagated downstream without retuning. Paper 35 v1. 2 propagates that correction through the late-time η route. Numerical impact: ηₗate (mean-baryon-mass convention) shifts from 5. 749 × 10⁻¹⁰ to 5. 748 × 10⁻¹⁰; YB sphaleron output shifts from 8. 17 × 10⁻¹¹ to 8. 16 × 10⁻¹¹; ε₁ × κf thermal-leptogenesis target shifts from 5. 905 × 10⁻⁸ to 5. 904 × 10⁻⁸; the Popławski target scale shifts from 2. 20 × 10¹³ GeV by ~2. 4 × 10⁹ GeV (sub-permille). ηBBN = 6. 151 × 10⁻¹⁰ is invariant under consistent R4 repair (the bulk-frame microphysical route uses TIO directly, which is unaffected; the observer-to-bulk conversion factor changes, but the product reduces to the local TIO photon-density calculation). The chiral source-era diagnostic Tf = Kgauge⁴ MPl is unchanged (uses powers of Kgauge and the diagnostic Planck scale, not optical R4). The chiral diagnostic / late-time inventory agreement shifts from 0. 66% to 0. 69%, still sub-percent. JWST formation timing, DESI dark-energy confrontation, and dark-matter null sections are unchanged at manuscript precision (rounding shifts at 4–5 decimal places, below displayed precision). The 48 baryogenesis theorem surfaces (15 CLEAN, 33 CONDITIONALVERIFIED) and the topological obstruction trace to the spinᶜ residual class on the horizon's U (1) bundle are unchanged. Status labels: ηₗate remains DERIVED/SCOPED arithmetic within the FIRAS-fixed observer-side thermal readout (no longer dependent on Tₒbs as an independent prediction) ; ηBBN remains DERIVED/SCOPED; chiral diagnostic remains CONDITIONAL/CONSTRUCTED; leptogenesis target remains DERIVED/CONDITIONAL on the standard external hierarchical thermal-leptogenesis class. Reproducibility bundle: paper35-v1. 2 (release tarball SHA256 5201bd85c8addb0d3fe028ccea2e9b7ddaea24e183e1406519dafd2a5f01fadd; validator 38/38 PASS). See https: //github. com/dfife/io-framework-public/tree/main for claim naming convention. v1. 1 (May 2026): Scope-hygiene republication following formal field-redefinition audit. The audit found no unlabelled continuous fitted parameter and recommended nine label/scope corrections, all applied: the baryogenesis investigation language is now “48 audited theorem surfaces (15 clean, 33 conditional-verified) ”; the chiral source-era η route is labelled CONDITIONAL/CONSTRUCTED; the leptogenesis target reduction is labelled DERIVED/CONDITIONAL on the standard external thermal-leptogenesis class and admitted Popławski slice; Q₅ = 0 is qualified to the current carrier package; JWST is timing-pressure relief, not full formation closure; the dark-matter null is a CONDITIONAL FORECAST. Cross-paper BBN scorecard updated to current Paper 24 v2. 3 15 and Paper 25 v1. 2 16 values. Dark-matter and JWST references replaced with publication-specific anchors matching cited values 8–14. Public reproducibility bundle paper35-v1. 1 17 released (8 scripts, 30/30 validation PASS) with immutable tag and SHA256 documented in §8. The κ-audit report itself is bundled and cited as 18. No theorem content, derivation step, or numerical value changed; v1. 0 results preserved (ηₗate = 5. 749 × 10⁻¹⁰, ηBBN = 6. 151 × 10⁻¹⁰, JWST 46–48%, DESI χ² = 69. 48, dark matter null forecast).