Microphysical Derivation of the Coherence‑Knot Couplings from the Neutrino Lattice

This paper completes and closes the General Connectivity coherence‑knot programme by deriving the continuum couplings of the knot functional—α (coherence diffusion), β (nonlinear self‑interaction), and kf (lattice confinement stiffness)—directly from a postulated microscopic neutrino‑lattice action. Starting from a golden‑ratio shell lattice with unit spin vectors, nearest‑neighbour exchange, forward/backward phase‑flow channels, and a massive vτ spin‑gear mediator, the paper shows that α arises from coarse‑grained spin‑exchange, β from unit‑sphere saturation and adiabatic elimination of the mediator, and kf from the curvature of the lattice coherence well with inflation‑driven r² growth. All three couplings are shown to be projections of a single microphysical scale Jn₀, yielding the dimensionless relation β²/(α kf) = C, a pure lattice constant. Combined with the spectral positivity, VK slope, imaginary‑time relaxation, and existence/uniqueness results of Fragments XII–XV, this derivation completes the stability package: the coherence knot is unique, orbitally stable, lattice‑bound, and microphysically derived. The continuum NLS is identified as the wide‑knot shadow of the lattice theory, valid only for p ≫ ln φ, with the physical electron lying outside this domain so that the O(1) lattice correction equals the two‑loop g‑factor flank. The paper provides explicit falsification criteria and closes the programme by reducing all remaining assumptions to a single named, testable lattice action.