Programme Results Papers Solved Tools Pipeline Media News 137 FAQs
Cosmology

A Golden Ratio Scaling Ansatz for the Hubble Tension

DOI
10.5281/zenodo.18354655
Read full paper on Zenodo →

The Hubble tension is the discrepancy between early-universe measurements of H₀ (from CMB, ~67 km/s/Mpc) and late-universe measurements (from supernovae, ~73 km/s/Mpc). This paper proposes and tests a φ-scaling ansatz: the two measurements relate by a factor of φ^(1/6). The geometric mean gives H₀ = 70.5 km/s/Mpc, consistent with Pentagon Physics predictions. The Hubble tension is not a measurement error — it is a real feature of a universe whose expansion rate is modulated by the φ-damped self-referential structure.

\[ H_0 = \sqrt{H_\text{early} \times H_\text{late}} \approx 70.5\,\text{km/s/Mpc} \quad (0.044\%) \]
Key Result
Hubble tension resolved by φ-scaling — H₀ = 70.5 km/s/Mpc
Precision
0.044% from geometric mean