Deterministic dispersion: instead of postulating quantum fluctuations, use the static
polarizability α (response of the ground-state charge density to a dipole field) and the
ionization potential I of each atom. Compute the C₆ coefficient via the
Slater–Kirkwood / London formula:
C₆^{AB} ≈ (3/2) · α_A · α_B · I_A · I_B / (I_A + I_B)
This is the static-polarizability limit of the Casimir–Polder integral
C₆ = (3/π) ∫₀^∞ α_A(iω)·α_B(iω) dω. Then the dispersion energy
E_disp(R) = −C₆/R⁶ emerges from coupled-oscillator algebra alone — no Born rule, no
fluctuations, no full TDSE.