A Frequency-Locking Mechanism for Atomic Orbit Stability from Nucleus Vibration Frequency

We propose a physically intuitive model for atomic electron orbit stability based on frequency locking to the intrinsic vibration frequency of the nucleus. The fundamental relation v_e = 2\pi f_N r directly connects electron speed v_e, orbital radius r, and nuclear vibration frequency f_N. Through calculations of multiple typical elements (H, He^+, C, O, Fe, U), the model yields results with relative error less than 0.5% for all cases, in near-perfect agreement with standard atomic physics values. This framework explains quantization, discrete energy levels, and orbital stability using wave synchronization and frequency locking, without complex quantum formalism, with strong verifiability via periodic table element calculations.