T³ Experiment: A Tabletop Path to Quantum Gravity Observation — E8 Intelligence Research

FINDING: Tabletop experiments propose direct quantum-gravity observation via matter-wave interferometry and optomechanics, with the T-cubed experiment (Folman) as a specific proposal; no new fundamental constant or equation emerges, but a testable regime is defined. MATH: The key scaling is the **T³ (T-cubed) phase accumulation** in matter-wave interferometry: phase ∝ (mass) × (acceleration) × T³, where T is the free-evolution time. For quantum gravity signatures, the relevant energy scale is the **Planck mass** \( m_P = √ c/G ≈ 2.176 × 10⁻⁸ \, kg \), and the gravitational self-energy term in Penrose's collapse criterion: \( Δ E = G/2 ∫ ∫ ρ(r)ρ(r')/|r-r'| \, d^3r \, d^3r' \) (Newtonian gravitational self-energy difference between superposed mass distributions). The decoherence time predicted is \( τ ~ / Δ E \). No new dimensionless constants; the fine-structure consta Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com