Holomorphic Unified Field Theory of Gravity and the Standard Model

We present a holomorphic framework in which gravity, gauge interactions, and their couplings to charges and currents emerge from a single geometric action on a four-complex-dimensional manifold. The Hermitian metric yields on the real slice y^μ= 0, a real symmetric metric g (⏛⏜) giving the vacuum Einstein equations, and an antisymmetric part g⏛⏜ that reproduces Maxwell's equations with sources. A single holomorphic gauge connection for G₆ₔₓ, such as SU (5) or SO (10), encodes all gauge sectors; its Bianchi identities give homogeneous Yang--Mills equations, and variation imposes _μF^μνA = J^νA. Chiral fermions arise from a holomorphic Dirac Lagrangian and couple minimally to all gauge fields, reproducing the Standard Model spectrum. Anomaly cancellation follows from holomorphic gauge invariance. A holomorphic adjoint Higgs breaks G₆ₔₓ SU (3) SU (2) U (1) with unified coupling, and a second Higgs breaks electroweak symmetry, generating W^, Z, and fermion masses. Below the unification scale, couplings run by standard renormalization-group flow. This construction unifies Einstein gravity, Yang--Mills theory, electromagnetism, and chiral fermions into a single classical geometric framework, and admits quantization via a holomorphic path integral that reproduces standard Feynman rules.