Particle Masses Encoded in the Riemann Zeta Zeros: The PRISM Framework

We present empirical evidence for a striking correspondence between the nontrivial zeros of the Riemann zeta function and fundamental particle masses. The PRISM framework (Prime Riemann Invariant Spectral Model) proposes the formula M = (D/163) × tₙ, where tₙ is the imaginary part of the n-th Riemann zero and D is a scale parameter. For D = 24 (QCD scale), charmonium masses J/ψ and ψ(2S) are predicted with errors below 0.1%. For D = 163 (electroweak scale), masses of W, Z, Higgs, and top quark are reproduced within 1.5%. The ratio t₃/t₂ matches the experimental ratio M(ψ(2S))/M(J/ψ) to 0.04% — a parameter-free prediction. We derive testable predictions including an unobserved charmonium state at 4849 MeV.