Spectral Coherence in Arithmetic Operators

This preprint introduces a structural distinction between spectral coherence as an observable diagnostic on closed arithmetic intervals and coherence as a structural requirement in the asymptotic domain associated with the Riemann zeta function. No claim of proof is made. The work reframes GOE statistics as an operative coherence constraint rather than a universality assertion.

Keywords

GOE, number theory, spectral statistics, arithmetic operators, random matrix theory, Riemann hypothesis

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