Addendum 2: Field-Enhanced Atmospheric Water Harvesting: A Comprehensive Deconstruction and Theoretical Reformulation of Electro-Thermodynamic Condensation

Version 2 — corrections (April 2026) This is a corrected version of Technical Addendum 2 (originally published as part of theALLFROMAIR® defensive disclosure series). Substantive correction: - Section 6.1 (Rayleigh oscillator frequency): the v1 expression f_n² = n(n−1)(n+2)γ / (3πρR³) contained an algebraic error in the denominator. The correct frequency form derived from the Rayleigh angular-frequency expression ω_n² = n(n−1)(n+2)γ / (ρR³) is f_n² = n(n−1)(n+2)γ / (4π²ρR³). The numerical operating range for pinned millimetre-class droplets (60–150 Hz) is unchanged; only the analytical denominator is corrected. Additional clarifications:- Numerical verification of the bulk MKT vapour-pressure reduction at E = 1.67 MV/m (Δp/p_sat ≈ −7.2 × 10⁻⁶ ≈ −0.00072 %) is now stated explicitly, confirming that MKT is a nucleation-barrier-reducing mechanism and not a bulk thermodynamic sink on its own.- Distinction between free-droplet Rayleigh frequency (~342 Hz at R = 0.5 mm) and pinned-droplet operational band (60–150 Hz) is now explicit. All other content, conclusions and the prior-art declaration are unchanged. Thisversion supersedes v1 for citation purposes.