Atom-interferometric test of universality of free fall at $10^{-15}$

In plain words

Two kinds of atoms dropped together should fall at exactly the same rate. Atom interferometers have checked this to about one part in $10^{12}$, while a satellite with solid masses reached one part in $10^{15}$.

Precise statement

Dual-species atom interferometry (Rb-85/Rb-87, Asenbaum et al 2020) bounds the Eotvos parameter $\eta$ at about $10^{-12}$; MICROSCOPE bounds $\eta(\mathrm{Ti}, \mathrm{Pt})$ at about $10^{-15}$ (2022). Determine $\eta$ for a pair of quantum test masses with uncertainty at or below $10^{-15}$, for example in a $100\,\mathrm{m}$ class tower or in space.

What would settle it

A dual-species interferometer result for $\eta$ with total uncertainty below $10^{-15}$ (MAGIS-100, AION, STE-QUEST class).

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