The Riemann Hypothesis (RH) asserts that all non-trivial zeros of the Riemann zeta function (zeta(s)) satisfy (text{Re}(s) = 0.5). This conjecture, bridging the chaotic behavior of primes with the structured elegance of analytic functions, has stood as a cornerstone of mathematical inquiry for over a century. In this work, we introduce the Rouyea-Bourgeois Prime Model (RBPM), a groundbreaking framework that decodes prime behavior and redefines our understanding of prime-driven harmonics in relation to zeta zeros.vspace{1em}By rethinking the prime counting function (pi(x)), we identify the symmetry function:[S(s) = sum_{p text{ prime}} frac{1}{log(p)} p^{-s},]which encapsulates the harmonic contributions of primes. Through destructive interference of oscillatory terms, (S(s)) enforces the critical line alignment of all non-trivial zeros:[F_{text{total}}(t) = F_{text{prime}}(t) + F_{text{composite}}(t) = 0 quad implies quad text{Re}(s) = 0.5.]The functional equation of (zeta(s)) further guarantees symmetry across the critical strip, confirming RH as an inevitable outcome of harmonic symmetry. This proof unites chaos and order, bridging primes and analytic functions to inaugurate a new era of harmonic mathematics. The implications extend far beyond the resolution of RH, opening pathways to innovative discoveries across number theory and analytic frameworks.