The electronic bipolaron in the chi field: superconductivity, conduction, ionization and chemistry as regimes of a single well dynamics (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. Its density induces, through the emergent metric Omega^2 = 1 + kappa_g |Psi|^2, a self-consistent density well: the density sources the well, the well shapes the density. This bundle shows that this single feedback dynamics (the "dance": deform, share, re-form), depending on its regime, underlies superconductivity, electrical conduction, ionization and chemical bonding. The bipolaron. Two electrons cannot be bound by any direct force (gravity 10^40, magnetic 10^4 too weak; Coulomb repulsive). The binding is dynamical: two knots share a self-consistent chi well (bipolaron). Topologically the pair is a link 2x3_1 — a boson of charge 2e, flux h/2e. Superconductivity (coherent regime). The collective mode of the well is the plasmon, omega_chi^2 = n e^2 / (eps0 m*), derived from the linearized feedback; hbar omega_chi ~ 4.6 eV. Its high frequency keeps the bipolaron light (anti-adiabatic), allowing high T_c for heavy carriers (mass threshold m* > m_c ~ 1-10 m_e). A linearized Eliashberg solver gives T_c(lambda_pl); the electron-plasmon coupling lambda_pl is derived from the plasmon pole of the screened Coulomb interaction. The bare net lambda_pl - mu* nearly cancels (omega_p ~ E_F), and it is the non-adiabatic vertex correction (positive for forward, dynamical coupling) that establishes pairing: superconductivity is intrinsically non-adiabatic. The pair's phase lock is topological (Chern-Simons linking), not gravitational. Conduction, ionization, chemistry. The same dance, propagated incoherently, is ordinary current (with resistance); extraction from the well is ionization (valence ~ eV, core ~ keV); the well shared between molecular sites is chemical bonding and charge transfer. Master formula of dissipation. All the thermodynamics of a conductor follows from the decoherence rate Gamma = 1/tau of the dance: the heat released is q_dot = (m*/n e^2) Gamma J^2 = rho J^2, and the entropy production is S_dot = q_dot/T >= 0. The second law coincides with the irreversibility of decoherence: S_dot >= 0 if and only if Gamma >= 0. Superconductivity (Gamma = 0, topological phase lock) is the reversible limit, without heat or entropy. The dependence Gamma(T) drives the thermal runaway (fusion). Honest status. Established: the unification, the identity omega_chi = omega_p (derived), lambda_pl from screening, the topological phase lock, the mass-threshold prediction (superconductivity favored for heavy carriers). To be established: the quantitative T_c rests on a sensitive cancellation lambda_pl ~ mu* and requires the full numerical non-adiabatic Eliashberg treatment; several material quantities are data, not predictions; nuclear ionization thresholds are standard Coulomb-Rydberg physics reinterpreted (chi well = Coulomb well). Contents. FR + EN LaTeX sources and PDFs of the synthesis article "The electronic bipolaron". Companion deposits (separate): the superconductivity letter and the dissipation master-formula note. Reproducible Python scripts in the source repository.