Precision Cascade Reproducibility Archive for "Covariance Completeness in the Distance Ladder"

This archive provides a complete, deterministic, and self-auditing reproducibility framework for the manuscript:

“Resolving the Hubble Tension Through Systematic Correlation Analysis (Revised Version)”.

The archive implements the Precision Cascade Engine, a provenance-encoded, covariance-driven inference system designed to reproduce and audit the full statistical pathway from declared inputs to final cosmological estimates.

All numerical results are generated internally from:

declared measurements

structural provenance mappings

covariance construction rules

systematic bias models

The archive reproduces the primary result:H₀ = 69.9 ± 0.8 km s⁻¹ Mpc⁻¹,reducing the Hubble tension from ~5.9σ to 2.4–2.8σ through explicit inclusion of cross-rung covariance.

Key features:

Fully deterministic execution (no stochastic elements)

Single self-contained archive (no external dependencies beyond environment setup)

Explicit construction of correlation and covariance matrices from provenance structure

Inverse-covariance estimator implementation

Executable worked examples (2×2 and 3×3 covariance systems)

Sensitivity analyses for correlation strength and systematic variation

Internal validation against golden outputs

Checksum closure with ROOT_HASH for chain-of-custody integrity

Self-auditing framework with PASS/FAIL governance

Explicit handling and disclosure of residual differences between illustrative and exact computational layers

The archive is designed to:

enable full independent replication

support adversarial testing of assumptions

provide a transparent audit trail for all reported results

This work represents a reproducibility-first implementation of cosmological inference, prioritising process integrity over narrative presentation.

Keywords

Hubble tension, H0, cosmology, covariance modelling, reproducibility, statistical inference, systematics, Bayesian inference, scientific computing, auditability, precision cascade