Resolving the Hubble Tension Through Systematic Correlation Analysis - Reproducibility Archive

Abstract This record provides the complete, machine‑verifiable reproducibility archive for Paper 1: The Hubble Resolution Analysis (v2.1.3‑r4f‑final3). It contains the full scientific codebase, datasets, validation scripts, and independent verifier required to reproduce all numerical results, correlation analyses, and statistical evaluations presented in the paper. The archive has been independently audited, with all categories passing and all outputs reproduced bit‑for‑bit. During the construction of this reproducibility package, a generalised, domain‑agnostic evidence architecture emerged. The deterministic pipelines, provenance rules, validation layers, and audit mechanisms originally developed to support this cosmology analysis later became formalised as the Precision Cascade Engine — a unified framework for constructing reproducible, audit‑grade evidence systems across scientific, technical, and operational domains. This update preserves the scientific content of the cosmology work while clarifying its role as the foundational implementation from which the Precision Cascade Engine was formalised. Subsequent domain modules (Insurance v1.0.1, M&A v1.0.0, Medical v1.0.0) are formally derived from the architecture established here. Description This record contains the complete, machine‑verifiable reproducibility archive for Paper 1: The Hubble Resolution Analysis, version 2.1.3‑r4f‑final3. It includes the fully auditable source package, all validation scripts, and the independent verifier used to confirm complete computational reproducibility. The archive provides a deterministic, audit‑grade reconstruction of all analyses presented in the paper, including data ingestion, correlation modelling, statistical evaluation, and validation of the reported cosmological results. All outputs are reproducible bit‑for‑bit using the included verifier. Contents • hubble-resolution-pack_v2.1.3-r4f-final3.zip — full scientific code, data, and validation pipeline • pack_audit_v213r4_6.py — official verifier script • Hubble_Reproducibility_Audit_Log_r4f-final3.txt — plaintext audit log • Hubble_Reproducibility_Audit_Certification.pdf — formatted certification summary The archive was validated using the official verifier: python "pack_audit_v213r4_6.py" "hubble-resolution-pack_v2.1.3-r4f-final3.zip" Audit Result • All 8 categories PASS • Verifier exit code 0 • Final verdict: fully reproducible and consistent with all claims in Paper 1 • Audit passed with no discrepancies This release represents the independently certified, 100% reproducible, audit‑grade companion to Paper 1 and its extended dataset. Relationship to the Precision Cascade Engine During the construction of this reproducibility archive, a generalised, domain‑agnostic evidence architecture emerged. The deterministic execution model, provenance enforcement, validation layers, and audit mechanisms developed here formed the foundation of what is now called the Precision Cascade Engine — a unified framework for constructing reproducible, audit‑grade truth systems across scientific, technical, and operational domains. This cosmology archive therefore represents the foundational implementation of the Precision Cascade Engine. Subsequent domain modules — including the Insurance Evidence Module (v1.0.1), the M&A Due‑Diligence Module (v1.0.0), and the Medical Evidence Module (v1.0.0) — are formally derived from the architecture first established in this record. The scientific content of the cosmology analysis remains unchanged; this version update clarifies the broader significance of the reproducibility infrastructure originally developed to support it. No scientific results, datasets, or conclusions of the cosmology analysis have been altered by this clarification. Keywords reproducibility, cosmology, Hubble constant, validation, audit, open science, machine‑verifiable dataset, deterministic pipelines, provenance, Precision Cascade Engine, evidence architecture