Null Structure from Cyclic Constraints in Complex 3-Space: A Minimalist Model of Directional Geometry from Algebraic Coupling

We present a smooth three-dimensional submanifold of real 6-space defined by cyclic algebraic coupling in complex 3-space. Without invoking curvature, external metrics, or twistor structure, this construction yields an intrinsic null geometry entirely from internal constraints. Every tangent vector satisfies real-part nullity under a pseudo-Euclidean ambient metric, and a homogeneous quadratic condition selects full-null directions, forming a rotationally symmetric cone about a preferred axis. These features echo structures found in Lorentzian and Carrollian geometries, offering a minimal, algebraically defined setting in which directional constraint and cone structure emerge directly from complex-geometric coupling.