Bianchi Orbifolds, Toroidal Cusp Surgery, Enstrophy Duality, and the Unconditional Resolution of the Generalized Riemann Hypothesis

The framework establishes an unconditional spectral resolution of the Riemann and Generalized Riemann Hypotheses by lifting automorphic scattering to the three-dimensional Bianchi orbifold over the maximal class-number-one imaginary quadratic field. Moving from two-dimensional modular curves to hyperbolic three-space eliminates the scalar parity barrier, embedding the Dedekind zeta function directly into the zero-mode Eisenstein scattering matrix without character cancellation. Excising the infinite cusp horn and capping the boundary with an 861-node triangular lattice—derived from Euler's lucky polynomial—creates an energy-independent, strictly positive-definite boundary metric. The maximal negative discriminant of one hundred sixty-three is uniquely capable of this closure, as its aspect ratio suppresses off-diagonal Green interactions to guarantee metric stability while reducing residual cusp leakage below double-precision limits. On the truncated interacting Hilbert space, a shifted operator balance eliminates dissipative drift and establishes strict self-adjointness, forcing all scattering poles to the resonance axis and locking every non-trivial zero onto the critical line. Physically, this automorphic boundary absorption is dual to singular enstrophy dissipation during solenoidal vortex filament reconnections in three-dimensional Navier-Stokes flows. The discrete topological phase slip across the 861-node Heegner vacuum lattice quantizes the elementary hydrodynamic action directly into Planck's constant.