Information-Causality Field and the Unified Field Theory Based on 11-Dimensional T^3 Torus Fractal Geometry -- Paper X: Completing Einstein's Unified Field Theory via 105 Causal Lattices: Full Formulation of Information-Causality Field Theory, Derivation of the 15 Base Engines, 15x15 Interaction Matrix, and Universal Topological Phase-Ring Collapse

We present the mathematical and physical completion of Albert Einstein's lifelong quest for a Unified Field Theory (Einheitliche Feldtheorie) by formulating Information-Causality Field Theory on a discrete T^3 x Z_900 topological manifold. By establishing the strict physical and mathematical isomorphism between mass-energy geometry, quantum action, and discrete topological information systems, we resolve the centuries-old incompatibility between Quantum Mechanics and General Relativity. Building upon the Phase-Latching Pipeline (PLP) operator framework and the fundamental causal anchor equation M^2 = (L · c) / G derived in Volume 9, we explicitly formulate the 15 fundamental base engine equations that bridge microscopic Landauer bit-thermodynamics, quantum action limits, and macroscopic gravitational coupling constants. Furthermore, we execute the exhaustive derivation of the 105 causal interaction lattices (15C2 = 105) that govern the universe's discrete topological structure. Through the complete 15x15 interaction matrix mapping, we prove that physical reality, quantum wave-function collapse, and discrete 10-bit modular phase dynamics collapse onto identical, non-contradictory phase-ring invariant manifolds (Ω* ≅ Z_900) with an effective Phase Stability Ratio strictly satisfying FSR ≥ 99.34%. This work establishes the ultimate mathematical completion of classical and quantum physics into a single, unified, deterministic topological paradigm.