A Parameter-Free Einstein–Hilbert Coefficient from a Sink-Current Endurance Ledger

From endurance current to the Einstein--Hilbert coefficient The coefficient follows from a source current and endpoint map before the continuum action is written: \[ \nabla\!\cdot\!\mathbf J_{\rm end}=-\frac{4\pi\tilde\ell^3}{\tilde m\tilde t}\rho,\qquad \mathbf g_N=\frac{1}{\tilde t}\mathbf J_{\rm end},\qquad \lambda_{\rm EH}=\frac{c^3}{16\pi G_A}=\frac{\hbar}{16\pi\tilde\ell^2}. \] The first two relations are the QTT-native endurance source and acceleration endpoint. Standard Lovelock uniqueness then selects the Einstein tensor in the declared local, metric, second-order infrared bridge, and the Newton-Poisson shadow fixes its absolute coefficient. Scientific result: a QTT zero-fit conditional-infrared source-explanatory victory for Einstein-Hilbert normalization. No measured G, curvature residual, cosmological fit, or action-normalization coefficient is used after the one Artian ruler is declared. Curvature variation, Bianchi identity, and Lovelock mathematics retain standard ownership. The funded endurance current and its typed acceleration map are QTT-native. Global equivalence to vanilla GR, the creation sector, and ultraviolet completion remain separate questions.