Sakharov-Induced Einstein Gravity from the Null Worldtube Condensate (Paper 18)

This paper derives Einstein's equations as the long-wavelength dynamics induced by the Null Worldtube Theory (NWT) condensate. Starting from the minimal three-field Lagrangian of Papers 15–16 — a complex scalar coupled to a U(1) gauge field and an S2-valued Skyrme–Faddeev field at the BPS critical coupling — integrating out matter at one loop on an arbitrary curved background generates the Einstein–Hilbert action plus controlled higher-curvature corrections, via Sakharov's induced-gravity mechanism. Key results: Newton's constant matches CODATA to -11 ppm, inside the ±22 ppm experimental error bar. The Schwarzschild metric is verified as a vacuum solution by direct symbolic computation: all 10 independent…