Information-Causality Field and the Unified Field Theory Based on 11-Dimensional T^3 Torus Fractal Geometry -- Paper I: Structural Uniqueness Theorems, Wilsonian EFT Regulators, and the Tripartite Point-Line-Plane (PLP) Engine on T^3 x Z_900 Vacuum G

We present the foundational structural theorems and field-theoretical principles of Information-Causality Field Theory formulated on a compact T^3 x Z_900 vacuum topology. By establishing Wilsonian Effective Field Theory (EFT) regulators bounded by discrete modular lattice geometries, we resolve the ultraviolet infinity and singularity problems inherent in continuous spacetime field theories. We introduce the Tripartite Point-Line-Plane (PLP) phase operator engine, proving that spatial localization, 1D coprime trace filtering, and 2D manifold curvature integration constitute a deterministic, non-singular framework for matter-information duality.