Tabletop Quantum Gravity Tests Probe Equivalence Principle Violations — E8 Intelligence Research

FINDING: Quantum gravity experiments are transitioning from theoretical speculation to tabletop-scale tests, with Penrose and Fuentes analyzing the Folman T-cubed experiment for equivalence-principle violations in superposed masses. | MATH: The core mathematical object is the gravitational self-energy \( E_G = -4π G/3 ∫ ρ(r)ρ(r')\,d^3r\,d^3r' \) (Penrose's collapse criterion: \(τ ~ /E_G\)); the T-cubed experiment probes phase shifts \(Δφ ∝ (G m^2 t^3)/( d^3)\) where \(t\) is interrogation time, \(d\) separation — hence "T-cubed" scaling. | CONNECTION: The \(t^3\) scaling is a cubic temporal symmetry — analogous to the 3-fold rotational axis in crystallographic point groups (e.g., 3̄, 32, 3m). The ratio of gravitational to electromagnetic coupling at Planck scale is \(~ 10⁻³⁶\), which is not a golden-ratio harmonic, but the self-energy integral has a \(4π/3\) prefactor — the volume of a unit sphere — linking to s Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com