The resolution of the Black Hole Information Paradox [1] requires a formal bridge between thecontinuous curvature of General Relativity and the discrete logic of Quantum Mechanics. We present the Fibonacci-Tetrahedral Lattice (FTL) framework [2], which identifies a universal geometric identity between these two domains: the scaling constant of the Schwarzschild radius is exactly twice the scaling constant of the discrete Planck core (Rs = 2Rcore). This "FTL-Schwarzschild Identity" originates from an exact 2.000 ratio between the fundamental constants of General Relativity and the Planck length-mass ratio (Lp/Mpl). By formalizing a physical saturation limit (ρmax) at the 0.866 metric compression threshold, we replace the mathematical singularity with a structurallystable "Planck Core." This enforces strict Unitarity, as incident quantum states are deterministically mapped into the topological strain field of the core boundary. Furthermore, we provide a rigorous geometric derivation of the Bekenstein-Hawking entropy, proving that the 1/4 scalar is a trigonometric consequence of Cauchy’s Surface Area Formula during the dimensional projection of a 3D FTL cell onto a 2D event horizon. Finally, we provide a zero-parameter unification of black hole variability, matching the observed QPO periodicities of stellar-mass and supermassive black holesacross nine orders of magnitude (see Table III). This framework establishes the first deterministic, testable substrate for a unified theory of gravity.