This paper presents the Laminar Resonance Theorem, defining the conditions for the passive elimination of macroscopic resistance of the Quantum-Crystalline (QC) medium in the vacuum tubes of particle accelerators. Based on the dynamic viscosity coefficient of the vacuum (η_qc ≈ 10⁻¹⁸ kg/(m·s)), established in previous cosmological models, the exact harmonic of laminar alignment is calculated. To account for the confined geometry of the accelerator tube, the expanded resonance equation is applied: f_laminar = (P_vac * Z_surf) / (2π * η_qc^(Z_depth)) * κ_sync By explicitly integrating the surface boundary coefficient (Z_surf), the depth exponent (Z_depth), and the synchronization coefficient (κ_sync), the theorem provides a mathematically rigorous mechanism for passive hydrodynamic alignment within any localized physical boundaries. Calibrating radio-frequency cavities to the fundamental 159.15 MHz harmonic initiates the passive alignment of background spins. This allows for the absolute isolation of hardware noise from QC-medium turbulence and a measurable reduction in energy expenditures on beam stability, without requiring structural changes to the hardware.