The Zero-Free Exponent of Signed Liouville Energies

Expanded v2 research revision retaining the original v1 mathematical content with corrections. The signed Fejer energy growth exponent equals twice the supremum of the real parts of the nontrivial zeta zeros. The revision includes local reconstruction, a finite-prime main term, logarithmic-order prime-tail cancellation and explicit limitations of finite Abel-moment arguments. RH and Dirichlet GRH remain unproved. No new analytic Lean formalization or new zero-free region is claimed.