Black Holes as Non-Abelian Anyon Condensates: Nonthermal Spectrum and Implications for the Information Paradox

We model black holes as condensates of non-Abelian anyons forming a topologically ordered shell at the horizon. Combined with area quantization, the constrained fusion Hilbert space yields a discrete entropy spectrum consistent with the Bekenstein-Hawking area law. Assuming a quantized mass spectrum with nonuniform gaps, we derive a nonthermal radiation profile with a corrected Hawking temperature and entropy, including logarithmic and inverse-area corrections. This framework localizes quantum information to the horizon without invoking entanglement across it, offering a unitary evaporation mechanism governed by topological degrees of freedom. This offers a natural setting for resolving the information paradox without recourse to firewalls, remnants, or trans-horizon entanglement. We also show that the Hawking temperature arises from classical equipartition on the shell, explaining the thermal character of the spectrum at leading order. Overall, our results provide a microscopic, algebraic approach to the black hole information paradox and establish a bridge between quantum gravity and topological quantum computation.