Resonance Operator for Prime Detection via Riemann Zeta Zeros

Prime numbers occupy a fundamental place in number theory. Traditional methods ofidentification rely on divisibility criteria, but a fascinating alternative arises from spectralanalysis using the zeros of the Riemann zeta function. In this approach, each integer isassociated with a resonance amplitude Rn, which encodes information about its primality.The key idea is that, under a suitable construction, primes manifest as distinct peaksin the amplitude spectrum, whereas composite numbers yield lower values. This providesan elegant separation between primes and composites based solely on amplitude, withoutdirect factorization