Resonance Operator for Prime Detection via Riemann Zeta Zeros

Key Points

• The central aim is to explore the use of a resonance operator to connect prime numbers with Riemann zeta function zeros.
• Constructed a resonance operator from non-trivial zeros of the Riemann zeta function.
• Incorporated the von Mangoldt function into the operator.
• Developed a minimal Python implementation.
• Provided a PDF with the mathematical formulation.
• The operator generates measurable spectral peaks that correspond to prime numbers.
• Demonstrated an analytic connection between primes and zeta zeros.