We present a complete, self-contained resolution of the black hole information paradox within the Al-Ani Fabric Theory. Spacetime is a discrete Planck-scale cubic lattice governed by a single Mother Equation with only two calibrated cosmological parameters (Γ = 2.4 × 10⁻¹⁸ s⁻¹, λ = 200 kpc). At the event horizon, the effective damping vanishes exactly when S ≥ Γ²/(2g), creating a perfectly coherent phase. We derive this condition analytically, compute the Page curve explicitly from the replica trick within the fabric framework, and show that the entanglement entropy follows S_ent = min(S_BH, S_rad). The torsion tensor τ_μν stores information, and Hawking radiation is purified by an explicit unitary operator Û_τ constructed from the torsion field. All constants (c, ħ, m_e) are derived from Γ and λ within this paper. Quantitative predictions for LIGO O5 and LISA are provided.