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Overview This research identifies a previously unrecognized universal constant, the $\delta$-Invariant ($1.083107...$), derived as the 6th-root of the Golden Ratio ($\sqrt[6]{\phi}$). While the Golden Ratio has long been observed in static geometric structures, this paper demonstrates that in a dynamic 3D simulation governed by a 6-dimensional phase space (3-position, 3-momentum), stability is maintained via this specific harmonic scaling. Key Findings (The Triple-Scale Audit) The paper provides high-precision forensic audits across three disconnected orders of magnitude, proving the Reed Law’s role as a systemic "Audit Ledger" to prevent entropy-driven "Snaps": Cosmological: Resolves the Hubble Tension (the gap between Planck 2026 early-universe data and SH0ES late-universe observations) with 99.59% accuracy. Quantum: Identifies the Fine Structure Constant ($\alpha$) as a geometric product of the $\delta$-Harmonic and $\pi$ with 99.35% accuracy. Biological: Predicts the human Oxygen-Hemoglobin P50 stability bound with 99.78% accuracy. Methodology Included in the Appendix is the Python source code used to generate these audits. This allows for immediate peer-review and falsification. The data utilized is sourced from current 2026 consensus reports in astrophysics and CODATA fundamental constants. Conclusion The Reed Law proposes that the "Tension" observed in modern physics is not an error in measurement, but a necessary "Fractal Depth" required for information continuity in the universe. This volume serves as the mechanical bridge between the theoretical framework of Volumes 1.0–5.0 and empirical reality.