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 3₁ of the SU (2) Chern-Simons gauge field chi. Its density induces, through the emergent metric Omega² = 1 + kappag |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 10⁴0, magnetic 10⁴ too weak; Coulomb repulsive). The binding is dynamical: two knots share a self-consistent chi well (bipolaron). Topologically the pair is a link 2x3₁ — a boson of charge 2e, flux h/2e. Superconductivity (coherent regime). The collective mode of the well is the plasmon, omegachi² = n e² / (eps0 m*), derived from the linearized feedback; hbar omegachi ~ 4. 6 eV. Its high frequency keeps the bipolaron light (anti-adiabatic), allowing high Tc for heavy carriers (mass threshold m* > mc ~ 1-10 mₑ). A linearized Eliashberg solver gives Tc (lambdaₚl) ; the electron-plasmon coupling lambdaₚl is derived from the plasmon pole of the screened Coulomb interaction. The bare net lambdaₚl - mu* nearly cancels (omegaₚ ~ EF), 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 qdot = (m*/n e²) Gamma J² = rho J², and the entropy production is Sdot = qdot/T >= 0. The second law coincides with the irreversibility of decoherence: Sdot >= 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 omegachi = omegaₚ (derived), lambdaₚl from screening, the topological phase lock, the mass-threshold prediction (superconductivity favored for heavy carriers). To be established: the quantitative Tc rests on a sensitive cancellation lambdaₚl ~ 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.