Electro-Mechanically Enhanced Lattice Confinement Fusion via Resonant THz-Driven Phonon Modulation: A Self-Consistent Adiabatic Floquet–WKB Framework with Falsifiable Predictions

This study develops a self-consistent theoretical framework for Electro-Mechanically Enhanced Lattice Confinement Fusion (EM-LCF), in which terahertz (THz) optical-phonon driving periodically modulates the static electron-screening potential in deuterated palladium (Pd–D) lattices. Unlike earlier heuristic treatments of this mechanism, every quantity entering the model — the Wentzel–Kramers–Brillouin (WKB) tunneling action, the modulation kernel, and the relevant dynamical timescale — is derived here from a single closed-form WKB integral for a screened Coulomb barrier, validated against adaptive numerical quadrature to a relative accuracy better than 10⁻¹¹. Self-consistent evaluation shows that the Büttiker–Landauer nuclear traversal time is of order 3×10⁻⁴ fs (sub-attosecond), roughly six orders of magnitude shorter than any THz driving period; the tunneling process is therefore deep in the adiabatic regime with respect to phonon-driven screening modulation, and no dynamical traversal-time resonance of the kind proposed in earlier heuristic treatments of this mechanism is physically supported. The correct, non-perturbative observable is instead an exact cycle-average of the instantaneous tunneling probability, computed here in closed form. This adiabatic average predicts only a minute (10⁻⁵–10⁻⁴ fractional) cycle-averaged (DC) enhancement of the fusion yield for realistic modulation amplitudes η = 0.05–0.12. However, the same calculation predicts a much larger, directly observable first-harmonic modulation of the instantaneous reaction rate at the drive frequency, with fractional depth m = |S₁| η ≈ 1–8% depending on the static screening energy U₀,static ∈ [300,800] eV and the collision-energy window E∈[5,20] keV. A global variance-based sensitivity analysis (Sobol indices, Jansen/Saltelli Monte Carlo estimators, N=8,192 base Sobol points, bootstrap 95% confidence intervals) shows that 67.0%±1.3% of the variance in the predicted log-enhancement is governed by the collision-energy window, 21.3%±2.2% by U₀,static, 11.7%±2.0% by the modulation amplitude η, and a negligible 0.01% by the assumed nuclear interaction radius R₀; first-order and total-order indices coincide to within Monte Carlo error, indicating a near-additive (non-interacting) response surface. A phase-locked (lock-in) detection scheme synchronized to the THz drive is proposed as the falsifiable observable: for m≈2–3%, 3σ–5σ detection requires 3×10⁴–4×10⁵ Poisson-distributed neutron or charged-particle counts, well within the reach of existing lattice-confinement-fusion instrumentation. All numerical results reported in this manuscript are reproduced verbatim by the self-contained, seeded Python implementation given in Appendix B. This work is a theoretical and computational framework only; no new experimental data are reported, and all quoted reaction rates and enhancement factors are model predictions requiring independent experimental validation.