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We give a brief overview of time dilation tests using high-resolution laserspectroscopy at heavy-ion storage rings. We reflect on the various methods usedto eliminate the first-order Doppler effect and on the pitfalls encountered,and comment on possible extensions at future facilities providing relativisticheavy ion beams at $\gamma \gg 1$.

Modern Ives-Stilwell Experiments At Storage Rings: Large Boosts Meet High Precision