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atomic clocks rely on vacuum-sealed chambers full of cesium atoms kept near absolute zero or similarly complicated mechanisms to make their extremely precise measurements.  That kind of hardware requires a significant technological, economic and bureaucratic infrastructure to maintain.  If you can imagine finding an atomic clock after the electricity failed that kept it running, you would have to recreate a lot of knowledge to understand what in fact it was.

It’s in this endurance category, however, that pulsars maintain their dominance, as they’re likely to last quite a bit longer than anything humans have been able to build, even Long Now – we’ve been able to observe some that are thought to be around 200 million years old.

Today, the best optical lattice neutral atom clocks and trapped ion clocks have a frequency stability approaching one part in 10^17.By contrast, as more pulsars have been discovered, their timing stability has improved by less than an order of magnitude in the last 20 years. The best millisecond pulsars have a stability of only one part in 10^15 at best.