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This research aims to resolve inconsistencies in cosmic expansion measurements within the IO framework by conducting a self-consistency audit of observational branches.

April 14, 20260 citationsOpen Access

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The Interior Observer Cosmological Framework - Paper 29: The Branch Consistency Audit: Schur Branch Retirement, the Galaxy/Quasar BAO Readout Kernel, and Direct Data Confrontation

DFDavid Fife

Key Points

This research aims to resolve inconsistencies in cosmic expansion measurements within the IO framework by conducting a self-consistency audit of observational branches.
Analyzed the observable universe within a Schwarzschild black hole model.
Conducted branch self-consistency audits to identify surviving observational branches.
Compared direct data confrontation against cosmic chronometer data and DESI BAO points.
Identified the Schur definitive branch as the unique surviving prediction with H₀ = 68.91, Ω_m = 0.336.
Showed that the assembly gap is a bookkeeping error, not an indication of missing physics.
Demonstrated that the Schur branch outperforms the legacy Planck ΛCDM model with a lower χ² value indicating better fit.

Abstract

Beginning from two premises — (1) the observable universe exists inside a Schwarzschild black hole, and (2) the physics inside the horizon is the same as outside — this paper resolves the assembly gap that has persisted since Paper 20 through a branch self-consistency audit, establishes the unique surviving observational branch, and confronts the IO framework with the most direct expansion-rate measurements available. The carried observational package (H₀ = 67. 58, Ωₘ = 0. 349, Ωₖ = −0. 006) is shown to be internally inconsistent — a hybrid combining legacy-branch values with Schur-branch curvature. Two self-consistent branches are reconstructed; the Schur definitive branch (H₀ = 68. 91, Ωₘ = 0. 336, Ωₖ = −0. 006) is the unique surviving prediction. Against 35 cosmic chronometer measurements and 13 DESI DR2 BAO points, the Schur branch (χ² = 42. 48) outperforms the Planck ΛCDM fixed-parameter reference (χ² = 44. 80) with zero continuously fitted parameters. The BAO Ωₘ residual (1. 19σ) is within normal statistical scatter. The assembly gap is closed as a bookkeeping error, not missing physics. Multi-AI adversarial collaboration: Claude (Anthropic), Codex/ChatGPT (OpenAI), Gemini (Google DeepMind). Full paper series available at https: //zenodo. org/communities/interior-observer/ https: //dfife. github. io/index. html v1. 2 (April 2026): Rebuild audit. Schur branch retired: √ (1+γ²) vacuum ansatz identified as hidden fitted parameter, K_Λ shifted from 49. 85 to 48. 50. Paper 10 legacy branch (H₀ = 67. 58) confirmed as sole survivor. Title, abstract, and conclusion rewritten. All branch-dependent values updated to Paper 10 legacy branch. Data confrontation (§4) recomputed on Paper 10 legacy branch. Scorecard updated: Aₛ = 2. 007 (C1b killed), H₀ = 67. 58. Assembly gap closure simplified. Open Problems updated. Appendix replaced with Paper 28 v1. 3 clean chain + Paper 29 theorem-grade steps only. Appendices B, C, D removed (not theorem-grade). Author block corrected. Terminology: Schur definitive → conditional Schur, Rosetta → gauge partition. v1. 1 (April 2026): Validation corrections applied. BAO Ωₘ Jacobian investigation added. Full Appendix A inherited from Paper 28 v1. 0 (Steps 1–443) with Paper 29 results appended (Steps 444–460).

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The Interior Observer Cosmological Framework - Paper 29: The Branch Consistency Audit: Schur Branch Retirement, the Galaxy/Quasar BAO Readout Kernel, and Direct Data Confrontation

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Abstract

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