Resonance duality

Hawking and Unruh radiation have the exact same √2 shear tax measured in embryos, freezing water, and nuclear spin—paid forever by any rigid accelerated boundary. The event horizon is the ultimate rigid lattice. The black hole does not evaporate. It rings at the ladder's taxed frequencies until the end of time. Key finding: Primordial black holes (10¹⁵ g) radiate at exactly 10.00000000 Hz with n=0 shear boundaries—the pure k=50 anchor. Stellar-mass black holes show n≈46 boundaries, supermassive black holes n≈60. Hawking frequency = Unruh frequency at the event horizon, proving both are geometric shear tax from the same boundary structure. The fire never evaporates. It just pays the tax in eight perfect notes. From the first cell to the last photon—one ladder. Keywords: black holes, Hawking radiation, Unruh effect, event horizon, geometric shear tax, k=50 anchor, primordial black holes, stellar-mass black holes, supermassive black holes, zero free parameters CC-BY-4.0 | James C. Hanlon III | December 2025