his paper formulates a purely complex unified field theory on a four-dimensional pseudo-Kähler manifold (M, J, gαβ̄ , ω) of signature (1, 3) governed by the non-compact gauge andspacetime symmetry SU (1, 1) × SU (1, 2) × SU (1, 3). Gravitation and matter are unifiedwithin the complex four-index field equation Gαβ̄γ δ̄ = κTαβ̄γ δ̄ whose trace-free sector directlycouples the Bochner curvature tensor to the complex vacuum energy-momentum tensor(Bαβ̄γ δ̄ = κT̂αβ̄γ δ̄ ). Global regularity and normalizability are established through the four-sector orientation symmetry Ng ∈ Z4 = {0, 1, 2, 3} across the invariant null cone ds2 = 0(N )∗g [L] with horizon scale inversion L̃i =where the metric transforms as gαβ̄g = i2Ng INg αβ̄L20,i /Li . This four-sector mapping bounds the complex Kretschmann scalar K (Ng ) (z, z̄)in every sector and guarantees the convergence of the four-sector normalization integralα4 < ∞, yielding regular complex de Sitter-like central cores without a cosmological constant.Under the Kähler representation decomposition 100 = 1 ⊕ 15 ⊕ 84, the compact spatialsubgroup reproduces the Standard Model gauge group U (1)Y × SU (2)L × SU (3)C whilethe z 3 -axis coset SU (1, 3)/SU (1, 2) and Bochner vacuum naturally predict a dark mattersector (χ = T30̄ , dark gauge boson A33̄ , and stationary Bochner condensate T̂αβ̄γ δ̄ ). Ingalactic halos, the contravariant conservation law ∇α Tαβ̄γ δ̄ = 0 produces flat rotation curves(v(r) → v∞ = const) with a 2/3 Bochner vacuum and 1/3 sterile matter partition. Finally, wederive the four-sector normalized wave function, uncertainty principle, massless helicity-±2gravitons, and four-sector ultraviolet (UV) loop cancellation from the rank-four quantumstate tensor Ψαβ̄γ δ̄ .