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** \( m_P = \sqrt{\hbar c/G} \approx 2.176 \times 10^{-8} \, \text{kg} \), and the gravitational self-energy term in Penrose's collapse criterion: \( \Delta E = \frac{G}{2} \int \int \frac{\rho(\mathbf{r})\rho(\mathbf{r}')}{|\mathbf{r}-\mathbf{r}'|} \, d^3r \, d^3r' \) (Newtonian gravitational self-energy difference between superposed mass distributions). The decoherence time predicted is \( \tau \sim \hbar / \Delta E \). 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