Dissipative Quantum Gravity: Microscopic State Counting and Bekenstein-Hawking Entropy from Non-Hermitian Quantum Geometry

Precise identification of microscopic states at event horizons clarifies the black hole information paradox. Dissipative Quantum Gravity (DQG) establishes a 2D non-Hermitian pseudospin-1/2 Chern insulator boundary lattice directly at the horizon screen. An open-system Lindblad dissipator links this lattice to a bipartite Hawking mode pair creation generator H₀, driving the horizon boundary dynamically to a second-order Exceptional Point (EP₂). Within this open-system framework, mode pair creation obeys a strict asymptotic saturation bound: limt → ∞ nₖ(t) = 1/2. Entanglement divergence terminates. Semiclassical radiation saturates. Microcanonical state enumeration across the Nzero = C × Ncells topological pseudospin zero-modes reproduces the exact Bekenstein-Hawking area law SBH = A/(4GN). Simultaneously, fluctuations among the three $SO(3)$ horizon isometry zero-modes generate the universal logarithmic quantum correction -3/2ln(A/GN).