Testing Quantum Gravity via Tabletop Mass Entanglement — E8 Intelligence Research

FINDING: Tabletop experiments propose direct quantum-gravity tests via entanglement of two masses, probing the quantum nature of the gravitational field. | MATH: The core observable is the gravitational interaction Hamiltonian \( H_{\text{int}} = -G m_1 m_2 / |\mathbf{r}_1 - \mathbf{r}_2| \), with quantum superposition of positions \( |\psi\rangle = \frac{1}{\sqrt{2}}(|L\rangle + |R\rangle) \) for each mass; the entanglement witness is the phase \( \phi = \frac{G m_1 m_2 t}{\hbar d} \) (where \( d \) is separation, \( t \) interaction time). Key constants: \( G \approx 6.674 \times 10^{-11} \, \text{m}^3\text{kg}^{-1}\text{s}^{-2} \), \( \hbar \approx 1.054 \times 10^{-34} \, \text{J·s} \). No new ratio emerges; the test is binary: gravity is quantum (entanglement) or classical (no entanglement). | CONNECTION: No direct geometric ratio (0.382, 0.618, 0.786, 1.618, 2.618) appears in the experimental design. However, the superposition states \( |L\rangle, |R\rangle \) form a two-level sy Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com