A Unitary Scattering Perspective on the Riemann Hypothesis

We construct an arithmetic scattering model over the multiplicative semigroup of prime numbers, following the Hilbert–Pólya programme. The nontrivial zeros of the Riemann zeta function are interpreted as resonance poles of a unitary scattering operator defined on a Hilbert space built from prime orbits. Under the core spectral and unitarity assumptions of the model, all nontrivial zeros are constrained to lie on the critical line $\mathrm{Re}(s)=1/2$. This work is a conditional argument, not an unconditional mathematical proof of the Riemann hypothesis.