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This paper constructs a one-dimensional quasicrystal by placing scatterers at the logarithms of prime numbers, linking the scattering amplitude to the Riemann zeta function. The analysis shows that the non-trivial zeros of the zeta function manifest as poles in the scattering spectrum, leading to a spectral decomposition that supports the Riemann Hypothesis. The results are derived through Fourier transform techniques and contour integration, demonstrating a connection between prime distribution and quasicr

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arthurderohan5

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