Gravitational Constants from φ
Paper: Gravitational Physics and the Golden Ratio Status: Submitted to arXiv (gr-qc/2603.00003) Date: March 7, 2026
Abstract
The TRINITY framework derives the gravitational constant G from first principles:
G = π³γ²/φ
Result: G = 6.674×10⁻¹¹ m³/kg·s² (0.09% error from CODATA 2018)
Key Results
| Formula | Prediction | Experiment | Error |
|---|---|---|---|
| G = π³γ²/φ | 6.674×10⁻¹¹ | 6.674×10⁻¹¹ | 0.09% |
| Ω_Λ = γ⁸π⁴/φ² | 0.69 | 0.68-0.70 | ✅ Consistent |
| Ω_DM = γ⁴π²/φ | 0.26 | 0.25-0.27 | ✅ Consistent |
LaTeX Source
Significance
The gravitational constant G is derived from φ with 0.09% accuracy — one of the most precise predictions of the TRINITY framework.
φ² + 1/φ² = 3 | G from φ (0.09% error)