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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 Re(s)=1/2. This work is a conditional argument, not an unconditional mathematical proof of the Riemann hypothesis.
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H.P. Chen (2026) studied this question.
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