Bipolaronic superconductivity in the chi field: self-consistent well, plasmonic omega_chi, mass threshold and an intrinsically non-adiabatic mechanism (TQNT)

In the Topological Knot Quantum Theory (TQNT) the electron is the trefoil knot 3_1 of the SU(2) Chern-Simons gauge field chi. This letter derives superconductivity as the coherent regime of the self-consistent chi-well dance. The Cooper pair is a link. Two 3_1 knots (braid index 2) bound form a link 2x3_1: even braid parity gives a boson of charge 2e, flux h/2e. No direct force binds two electrons (gravity 10^40, magnetic 10^4 too weak; Coulomb repulsive); the binding is the dynamical self-trapping in a shared chi well (bipolaron), with binding energy of a few hundred meV. omega_chi is the plasmon. Linearizing the self-consistent feedback (continuity, Euler, Poisson; the self-field being electromagnetism, the low-energy limit of chi) yields omega_chi^2 = n e^2 / (eps0 m*), i.e. hbar omega_chi ~ 4.6 eV. Being fast (>> phonon), it keeps the bipolaron light (anti-adiabatic), enabling high T_c. Mass threshold. The Frohlich coupling alpha_F ~ sqrt(m*) crosses the binding threshold at m_c ~ 1-10 m_e: superconductivity requires heavy carriers (heavy fermions, polaronic superconductors). Eliashberg and lambda_pl. A linearized Eliashberg solver gives T_c(lambda_pl); the realistic range (1-100 K) corresponds to lambda_pl ~ 0.2-0.3. The electron-plasmon coupling is derived from the plasmon pole of the screened Coulomb interaction, lambda_pl = (y/4) ln(1+4/y), y=(k_TF/k_F)^2 ~ 0.66 r_s, giving ~0.5 for metals. The bare net lambda_pl - mu* cancels (omega_p ~ E_F suppresses retardation). Intrinsically non-adiabatic. The plasmon coupling is forward (Q_c ~ 0.23) and dynamical; the Grimaldi-Pietronero-Strassler vertex correction is positive there and breaks the cancellation, giving a net ~0.2 and a realistic T_c. Without the vertex the net vanishes: the beyond-Migdal term is the engine, not a correction. Topological phase lock. The pair's internal coherence is fixed by the Chern-Simons phase of the linking (quantized, immune to thermal noise), not by the gravitational metric (whose Colella-Overhauser-Werner-type phase is 10^12 to 10^35 times too slow between two electrons). Honest status. The quantitative T_c rests on a sensitive cancellation lambda_pl ~ mu* and requires the full numerical non-adiabatic Eliashberg treatment (vertex P and crossed C, dispersive plasmon, BCS-BEC crossover); since omega_p ~ E_F the expansion is marginal (robust sign, uncertain value). Contents. FR + EN LaTeX sources and PDFs of the superconductivity letter, plus the reproducible Eliashberg solver (superconductivity_bipolaron_chi.py). Companion deposits (separate): the electronic-bipolaron synthesis and the dissipation master-formula note.