Low-Energy Ground-State Dynamics of the Darkon-3 (D3) Soft Graviton and the 11.22 MeV Bi-Einston Condensate in OZIP Gauge Theory

We present the explicit low-energy field theory governing the single D3 soft graviton mode(5.61 MeV) and its spin-0 bound state, the Bi-Einston condensate ⟨D3¯D3⟩ (11.22 MeV), withinBig Boot Gauge Theory (BBGT). Emerging from the n = 0 Gravitational Kernel ground stateover the octonionic algebra OZIP, the D3 mass is anchored directly to the electron rest mass me viathe pentagonal Weinberg phase and topological geometric tilt. We derive the low-energy effectiveLagrangian, calculate virtual loop contributions to precision lepton anomalous magnetic moments(g−2)e and (g−2)µ, and outline experimental signatures in low-energy nuclear transition anomaliesand fixed-target beam-dump experiments.