Detecting Gravity-Mediated Entanglement Between Mesoscopic Masses to Test Quantum Gravity — E8 Intelligence Research

FINDING: Tabletop quantum-gravity tests aim to detect entanglement between two mesoscopic masses mediated solely by gravity, probing whether the gravitational field is quantized. | MATH: Key criterion — gravity-induced entanglement must exceed decoherence. Two-mass Hamiltonian H_int = −G m₁m₂/|x₁−x₂|; entanglement generated at rate Γ_ent ≈ (G m₁m₂)/(ℏ d) · (Δx/ℏ)² type scaling (Bose et al. 2017; Marletto–Vedral 2017). Decoherence rate Γ_dec from environmental coupling must satisfy Γ_ent > Γ_dec. Relevant scales: masses ~10⁻¹⁴–10⁻¹⁷ kg, separations ~10⁻⁴–10⁻⁶ m, coherence times ~ms–s. | CONNECTION: No direct geometric-harmony constants (0.618, 1.618, etc.) appear in the sourced material. The relevant structure is the inverse-square law 1/r² (a power-law, not a golden-ratio form) and the Planck-scale ratio ℓ_P = √(ℏG/c³) ≈ 1.616×10⁻³⁵ m — note 1.616 is numerically adjacent to φ≈1.618 but this is coincidental, not derived. No base-60, crystallographic, or root-system symmetry is invoked. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com