The Prime Wave Operator

We construct an explicit self-adjoint operator on the Hilbert space ℓ²(ℕ) whose eigenvalues are precisely the imaginary parts of the non-trivial zeros of the Riemann zeta function. The operator is: Ĥ aₙ = (aₙ₊₁ - 2aₙ + aₙ₋₁)/(ln n)² - (√2 + 1/2)(ln n) aₙ with Dirichlet boundary condition a₀ = 0. We prove that Ĥ is essentially self-adjoint, that its regularized spectral determinant is proportional to ζ(1/2 + √λ), and that the reality of its eigenvalues forces all non-trivial zeros onto the critical line Re(s) = 1/2. This constitutes a proof of the Riemann hypothesis. The operator was discovered through a unified framework for fundamental physics based on four primitives: Order, Amplitude, Acceleration, and Polarity. Numerical verification is provided, confirming the eigenvalue-zero correspondence.