Centre-of-mass dynamics

The retained system is a fixed-orientation rigid body moving along one coordinate $x$, with conjugate momentum $p$ and mass $M$. On a stage with curvature $\kappa (t)$,

Positive, zero, and negative curvature correspond to harmonic, flat, and inverted quadratic stages.

A common environmental localization term is

Cooling may instead have an admitted linear Gaussian drift and diffusion model. We allow its output to depend on the hypotheses, provided it is the same preparation procedure across the four time settings of each hypothesis.