Quantum-Gravity Tabletop Probes Constrain Planck-Scale Collapse Models — E8 Intelligence Research

FINDING: Tabletop quantum-gravity tests probe Planck-scale discreteness via matter-wave interferometry and optomechanical superposition, not yet yielding a confirmed equation but constraining collapse models and graviton signatures. | MATH: Planck length \(l_P = √ G/c^3 ≈ 1.616×10⁻³⁵\,m\); Planck mass \(m_P = √ c/G ≈ 2.176×10⁻⁸\,kg\); decoherence rate for gravitationally-induced collapse (Penrose–Diosi): \(Γ ~ Δ E_G/\), where \(Δ E_G = G/2∫\!\!∫ [ρ_1(r)-ρ_2(r)][ρ_1(r')-ρ_2(r')]/|r-r'|d^3r\,d^3r'\); Folman T³ experiment: cubic scaling of phase shift \(Δφ ∝ T^3\) (where \(T\) is free-fall time), testing equivalence principle at quantum level. | CONNECTION: The ratio \(l_P^2/λ_C^2\) (Planck length squared over Compton wavelength squared) appears in gravitationally-induced entanglement rates — nume Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com