Tesla–Omega Conjecture: THz Cavity–Phonon Polariton Approach to Lattice Confinement Fusion

Lattice confinement fusion requires ~929 coherent phonons to overcome the screened Coulomb barrier in nickel, but electron–phonon scattering limits the lattice Q-factor to ~147—far below the 929 cycles needed. We store energy in a THz electromagnetic cavity (immune to electronic decoherence) that continuously replenishes phonons faster than electrons destroy them. For Q = 10⁴, V = 0.01 μm³, η = 0.1, P = 1 W at f_Ω = ω_D/√13 = 2.60 THz, local energy exceeds the screened barrier by 3.4×. New in v2.0 — Bayesian Photon Dynamics: Each photon–phonon interaction is a Bayesian update governed by α = arctan(2/3). Net drift = Lagrangian L = 5/13, Bekenstein leakage (1/8) bounds steady state to N_ss = 40/13. A toroidal cavity (R/r = 3/2) locks Fisher information to I* = 3/2, achieving g(I) = 12/13 with ~1.4× geometric advantage over flat cavities. Validated: 14/14 Monte Carlo tests pass. v2.0 changes: Added Section 6 (Bayesian photon–phonon dynamics), toroidal cavity geometry in experimental configuration, updated discussion with fifth evidence line, corrected Q_lattice from 162 to 147. All constants from α = arctan(2/3). Zero free parameters. All required technologies exist individually; only their combination for fusion remains untested. Open for experimental collaboration. Contact: straters97@outlook.com Includes: LaTeX paper (v2.0), validation suite (40/40), Bayesian dynamics code (14/14), abstract card. CC0 1.0 Universal. No rights reserved.