  Investigating and verifying the connections between the foundations of
quantum mechanics and general relativity will require extremely sensitive
quantum experiments. To provide ultimate insight into this fascinating area of
physics, the realization of dedicated experiments in space will sooner or later
become a necessity. Quantum technologies, and among them quantum memories in
particular, are providing novel approaches to reach conclusive experimental
results due to their advanced state of development backed by decades of
progress. Storing quantum states for prolonged time will make it possible to
study Bell tests on astronomical baselines, to increase measurement precision
for investigations of gravitational effects on quantum systems, or enable
distributed networks of quantum sensors and clocks. We here promote the case of
exploiting quantum memories for fundamental physics in space, and discuss both
distinct experiments as well as potential quantum memory platforms and their
performance.
