Node-locked phase of annual modulations from the gravitational chiral anomaly in the solar Kerr field

The leading parity-odd mass--spin curvature invariant of the solar exterior, P*!R,R 288,G squaredM squareda theta/c 4r 7, changes sign when the Earth crosses the solar equatorial plane and acts as the geometric source of the gravitational chiral anomaly. We study two minimal phenomenological responses to this structure: a long-memory reservoir Q proportional to integral(P- P),dt and the local worldline derivative D=u mu grad muP. Both have an annual Fourier phase fixed by ephemerides, t*=158.7 d (June 7--8) or the opposite branch t*=341.4 d, with a calculable secular drift of +0.014 d,yr-1 and an energy-independent geometric input phase, while predicting different semiannual fractions, 3.75% and 15%, respectively. The response amplitudes and their microscopic origin are not predicted; the phase is. Single-amplitude fits to the digitized DAMA/LIBRA--phase2 1--3 keV residuals give chi squared/dof=62.7/51 for the reservoir and 63.6/51 for the derivative, against 60.9/51 for the standard-halo cosine. The most precise published phase, t*=153.5 plus or minus3.8 d, lies 0.3 sigma from the halo value and 1.4 sigma from the node-locked one; phase metrology at the two-day level (3 sigma), together with the phase-locked semiannual component, discriminates between the two clocks.