On the Invariant and Geometric Structure of the Holomorphic Unified Field Theory

arXiv:2510.06282v1 Announce Type: new
Abstract: We present the invariant structure of a Holomorphic Unified Field Theory in which gravity and gauge interactions arise from a single geometric framework. The theory is formulated on a product principal bundle, with one connection, and curvature equipped with a Hermitian field on a complexification of spacetime. From a single Diff(M) $times$ G-invariant action, variation yields the Einstein and Yang-Mills equations together with their paired Bianchi identities. A compatibility condition is implemented either definitionally or through an auxiliary penalty functional. It enforces that the antisymmetric part of our Hermitian field is exactly the gauge field’s curvature on the real slice.