Holographic Duality of Prime Numbers and Riemann Zeros in AdS/CFT

We propose a holographic interpretation of the connection between the non-trivial zeros

of the Riemann zeta function and the distribution of prime numbers. Within this frame-

work, we model AdS (frequency domain, internal spectrum) and CFT (observable density

field) using spectral integrals, nonlocal fractional operators, and frequency response sys-

tems. We demonstrate how prime density can be derived from projected oscillations

of ζ(s), and introduce a reverse mechanism allowing reconstruction of ζ(s) zeros from

prime distributions. This bidirectional AdS/CFT correspondence, supported by explicit

computational results, marks a significant advance in number theory.