Holographic Conformal Field Theory at Black Hole Horizons: Evidence from Utopreservational Quantum Gravity

Here, we present the first numerical reconstruction of the holographic conformal field theory (CFT) structure emerging at black hole horizons within the framework of Utopreservational Quantum Gravity (UQG). By treating the Planck constant as a dynamical field ℏ(Π) and employing a novel JAX-accelerated inverse spectral tomography with trust-region optimization, we invert the quasinormal mode (QNM) spectrum to resolve the horizon’s quantum structure. Our analysis reveals a second-order phase transition at a critical resolution Π* = 0.7788 ± 0.0012, characterized by an anomalous critical exponent ν ≈ 0.37 that defies mean-field predictions. Furthermore, renormalization group (RG) flow analysis identifies a stable infrared fixed point with a large effective central charge c ≈ 1875. This result provides direct numerical evidence for a Large-N holographic dual (N_eff ≈ 43) governing the horizon dynamics. We also report a violation of Zamolodchikov’s C-theorem, which we interpret as a signature of UV/IR mixing characteristic of quantum gravity. These findings suggest that black hole horizons are described by non-unitary holographic CFTs with macroscopic degrees of freedom.