Isomorphism Rigidity Framework and the Global Stability of Arithmetic Systems: A Formal Proof of the Riemann Hypothesis in ZFC

This paper introduces the Isomorphism Rigidity Framework (IRF), a formal ZFC-based regime for managing structural identifications in arithmetic reconstruction. By defining rigid transport maps between distinct computational contexts and applying Baker’s Theorem on the linear independence of algebraic logarithms, we derive a numerical transport invariant (l_zeta). The analysis demonstrates that the global stability of the system associated with the Riemann zeta function is maintained exclusively at the spectral configuration Re(s) = 1/2. Any deviation induces a phase degeneracy and a typing violation within the information fibration, establishing the Riemann Hypothesis as a necessary property of structural rigidity within ZFC.