The quantum core of Shor's factoring algorithm — finding the period r of aˣ mod N — is reproduced by classical coupled harmonic oscillators with no quantum postulates. The power-law exponent b = 0. 4952 (theory: 0. 5000) holds over r = 72. . 600 with t/√r flat at 293 ± 7 steps (coefficient of variation 2. 5%), confirmed across 10 independent trials per case. Integer factoring follows directly: 15 semiprime cases, all factor pairs correct. The mechanism is Rabi oscillation between two collective modes at resonance: the period-marking oracle creates a detuning δΩ = K (r−2) /r, the mode coupling is g = K√ ( (r−1) /r²) ≈ K/√r, and tₚeak = π/g ∝ √r. Derived from Newton's equations. No wavefunction. No superposition axiom. No measurement collapse. Period-finding is a wave phenomenon.
Clifford Heenan (Sun,) studied this question.