V.R41 — Gaia and the tau-readout

Gaia's microarcsecond parallax catalog for ~1.8 billion sources is a high-precision calibration of the distance readout functor R_d at orbit-depth separations from Delta n ~ 1 (nearby stars) to Delta n ~ 10^4 (Milky Way disk), anchored to Earth's orbital parameters earned from Kepler's laws as D-sector theorems.