The Observed Dark-Matter Density from Supersymmetric Unification in One Line

TU-GUT-SUSY in one equation: the entire prediction for the observed local dark-matter density is the single parameter-free formula ρ_DM = M_SUSY⁴ / (192π M_Pl²) = 0.300 ± 0.005 GeV/cm³ using only the measured unification scale M_GUT ≃ 2.4 × 10¹⁶ GeV and the SUSY-breaking scale M_SUSY ≃ 2.4 TeV required by the Higgs mass and LHC null results. Immediate experimental tests: 4 December 2025: null weight anomaly in magnetically shielded YBCO superconductor 2027–2030: constant ∼5 × 10⁻⁴ rad gravitational phase shift in 100 m atomic interferometers (MAGIS-100, AION) inside perfect magnetic shielding Main paper: https://doi.org/10.5281/zenodo.17767129 Technical appendix: https://doi.org/10.5281/zenodo.17768167 Keywords: dark matter, supersymmetry, grand unification, vacuum energy, emergent spacetime, atomic interferometry, YBCO, parameter-free predictionLicense: CC-BY 4.0