The higher the transition energy is the shorter the time interval one can 
measure. At 8 eV this is better than atomic clocks. The standard is the 
outer s to p dipole transition of the electron. This nuclear approach is 
similar, but a couple or orders magnitude better, with the possible time 
interval of 10^{-10} or 10^{-11} sec. If we could exploit higher energy 
transitions we could get even better. A possible quark clock would then be 
next.

LC

On Monday, October 18, 2021 at 1:03:22 PM UTC-5 [email protected] wrote:

> In 2 new papers researchers report the development of an atomic clock that 
> would be off by just one second after 4 trillion years, the universe is 
> only 13.8 billion years old. When  they raised this new clock up by a 
> distance of only 1 millimeter  they could measure the increase in clock 
> speed due to it being one millimeter further from the Earth center and thus 
> in a weaker gravitational field, and this change in clock speed agreed 
> entirely with Einstein's general relativity. 
>
> Resolving the gravitational redshift within a millimeter atomic sample 
> <https://arxiv.org/abs/2109.12238>
>
> High precision differential clock comparisons with a multiplexed optical 
> lattice clock <https://arxiv.org/abs/2109.12237>
>
> John K Clark    See what's on my new list at  Extropolis 
> <https://groups.google.com/g/extropolis>
>

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