Quantum Gravity Witnessed Through Entangled Macroscopic Masses — E8 Intelligence Research

FINDING: Tabletop experiments propose direct observation of quantum gravity via entanglement of macroscopic masses, with the core mathematical framework being the quantum superposition of gravitational fields and the resulting entanglement witness. | MATH: The key equation is the gravitational interaction Hamiltonian between two masses in superposition: \( Ĥ_G = -G {m_1 m_2}{|x̂_1 - x̂_2|} \), where the position operators \(x̂_i\) are in coherent superposition states. The entanglement entropy \(S = -Tr(ρ ln ρ)\) of the joint state serves as the witness. The T³ (T-cubed) experiment (Folman) uses a triple-interferometer with time \(T\), giving phase shift \(Δ φ ∝ G m^2 T^3 / d^2\) (where \(d\) is separation). The decoherence rate scales as \(Γ ∝ (G m^2 / d^2)^2 τ\), with \(τ\) the interaction time. | CONNECTION: The phase shift \(Δ φ\) contains the ratio \(G m^2 / \) — a dimensionless coupling Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com