The Riemann Hypothesis: Zeta Zeros in McKay Spectral Geometry on S³/2I

Working document mapping the connection between Mode Identity Theory's anti-periodic boundary condition ψ (y + L) = −ψ (y) and the Riemann zeta function through the spectral geometry of the Poincaré homology sphere S³/2I. The first-order Dirac operator on S¹ with this boundary condition produces odd-integer eigenvalues whose Dirichlet series equals (1 − 2^−s) ζ (s) ; inside the critical strip, the spectral zeros are the zeta zeros. This is identity, not analogy. On S³/2I, the McKay decomposition of SU (2) representations restricted to the binary icosahedral group 2I produces 9 sub-series with Coxeter periodicity h (E₈) = 30, decomposing into Dirichlet L-functions. All 9 associated Artin L-functions are verified automorphic. The analytic torsion ratio between the two Galois-conjugate vacua is computed exactly: T² (3a) /T² (3b) = φ^−4, where φ is the golden ratio, connecting to the Legendre symbol L-value via −4 log φ = −2√5 L (1, χ₂). Completed phases (McKay multiplicities, L-function decomposition, Artin factorization, torsion ratio) and the precise open gap are reported: construction of a self-adjoint operator whose eigenvalues are L-function zeros rather than multiplicities. The manifold and McKay infrastructure are shared with the companion Spectrum project on particle mass generation; the two programs address different readings of the same spectral geometry. No proof of RH is claimed. Verified computations, candidate attack paths with success criteria, and the exact obstruction are specified.