Chapter 27: The Grand GRH

The Riemann Hypothesis scales from the single zeta function to all L-functions via the prime polarity infrastructure. Each Dirichlet character, Hecke character, and automorphic representation produces an L-function whose zeros obey the same spectral reality condition. The Label_n classifier (III.D23) provides the scaling template: every L-function decomposes into B-, C-, and X-sector contributions, and the Grand GRH asserts spectral purity in each sector. We prove that the scaling preserves polarity structure, express all L-functions as spectral determinants of operators on the boundary Hilbert space H_L, and state the Grand GRH for all adelic boundary characters on A_τ. The scaling chain ζ → Dirichlet → Hecke → automorphic previews the Langlands program (Part VI).