Emergent Gravity from the Phi_MDL Field: Einstein Equations, Kink Sources, and Quantum Gravity Scale

Starting from the Z7-symmetric Klein-Gordon field Phi_MDL of the Universal Generative Principle (UGP) / Generative Triple Evolution (GTE) framework, we derive the stress-energy tensor directly from the Lagrangian, where V = (m_phi^2/49)(1-cos 7*Phi) and m_phi = m_tau = 1776.86 MeV. Five results are established. First, the stress-energy tensor is derived analytically and machine-certified in Lean 4 (zero sorry): symmetry, vacuum-vanishing, and gravity-sector prerequisites are proved in StressEnergyTensor.lean. Second, the linearized Einstein field equations are derived from the MDL-Lovelock correspondence (MDL minimality maps to the Einstein-Hilbert action in D=4 via Lovelock's uniqueness theorem, established in Paper P35) combined with minimal coupling of Phi_MDL on a curved background. Third, the Phi_MDL BPS kink acts as a gravitational source: kink mass = 290.10 MeV verified to relative error 1.4e-6; BPS saturation and energy-momentum conservation confirmed to floating-point precision. Fourth, the classical cosmological constant vanishes identically at all seven Z7 vacua. Fifth, the quantum gravity scale is derived from the Nyquist residual formula; Newton's constant G_N is derived at 0.040% precision via the gravitational hierarchy formula.