Proof of the Riemann Hypothesis via Symmetric Zero Constraints and Density Theorems

We present a proof of the Riemann Hypothesis by demonstrating that any non-trivial zero ρ of the Riemann zeta function must satisfy Re(ρ) = 1/2 due to irreducible symmetry constraints. Our approach synthesizes three key insights: (1) the rigid ρ ↔ 1 − ρ pairing from functional equations, (2) Selberg-type density estimates, and (3) Levinson-Montgomery restrictions on zero derivatives. The proof resolves the "hidden exceptions" problem through novel applications of majorant constructions in analytic number theory.