  Gyrochronology, the field of age-dating stars using mainly their rotation
periods and masses, is ideal for inferring the ages of individual main-sequence
stars. However, due to the lack of physical understanding of the complex
magnetic fields in stars, gyrochronology relies heavily on empirical
calibrations that require consistent and reliable stellar age measurements
across a wide range of periods and masses. In this paper, we obtain a sample of
consistent ages using the gyro-kinematic age-dating method, a technique to
calculate the kinematics ages of stars. Using a Gaussian Process model
conditioned on ages from this sample (~ 1 - 14 Gyr) and known clusters (0.67 -
3.8 Gyr), we calibrate the first empirical gyrochronology relation that is
capable of inferring ages for single, main-sequence stars between 0.67 Gyr to
14 Gyr. Cross-validating and testing results suggest our model can infer
cluster and asteroseismic ages with an average uncertainty of just over 1 Gyr.
With this model, we obtain gyrochronology ages for ~ 100,000 stars within 1.5
kpc of the Sun with period measurements from Kepler and ZTF, and 384 unique
planet host stars.
