Hawking radiation is derived semiclassically: quantum fields on a curved background emit thermal radiation near the event horizon. The derivation treats the black hole as a classical background, which leads to the information paradox — the radiation appears thermal, carrying no information about what fell in. A fully quantum treatment of the black hole itself might resolve this.
Modeling a quantum black hole as a fuzzy sphere — a noncommutative geometry with a finite number of quantum states — produces Hawking radiation through a different mechanism: quantum tunneling (arXiv:2603.12199). The black hole is a fuzzy sphere with a half-filled Fermi sea. Decay corresponds to tunneling from a larger fuzzy sphere (more states, higher mass) to a smaller one (fewer states, lower mass).
Monopoles on the fuzzy sphere provide the zero modes that enable the transition. Without monopoles, tunneling between different fuzzy sphere sizes would violate fermion number conservation and be forbidden. The monopole mechanism provides the channel through which the transition proceeds while conserving all quantum numbers.
The tunneling rate matches Page's semiclassical decay rate — the same answer from a fundamentally different calculation. The semiclassical calculation uses field theory on a curved background. The fuzzy sphere calculation uses quantum mechanics of a finite-dimensional system. The agreement suggests that Hawking radiation is robust: it emerges from any consistent quantum treatment of black holes, not just from the specific semiclassical framework.
Unitarity is preserved because the fuzzy sphere transition is a standard quantum mechanical process — no information is lost because the evolution is unitary by construction.