A reasonably simple description of this paper was released by Scientific 
American today:

Quantum Time Twist Offers a Way to Create Schrödinger’s Clock
https://www.scientificamerican.com/article/quantum-time-twist-offers-a-way-to-create-schroedingers-clock/

The Schrödinger’s Cat thought experiment imagined placing an object in a 
quantum superposition of two states (cat is alive / cat is dead). The object 
exists in a superposition of those two states until it is "observed" or 
measured. This can be thought of as a repudiation of something we assume to be 
part of our reality -- counterfactual definiteness.
https://en.wikipedia.org/wiki/Counterfactual_definiteness

You can also imagine putting an object into a superposition of two proper 
times. 
https://en.wikipedia.org/wiki/Proper_time
The main topic of the Nature article is placing a clock into into a 
superposition of different velocities, which results in a superposition of the 
different time dilations due to special relativity. This would result in a 
non-classical result when measuring the clock (atom or ion) in an experiment. 
--
Bill Byrom N5BB



On Fri, Oct 23, 2020, at 6:13 AM, John Moran, Scawby Design wrote:
> It's been mentioned many times here that Time-Nuts are continually chasing 
> down the more and more esoteric effects that make their clocks less than 
> perfectly accurate. I wonder whether any of them have got their clocks to the 
> state where corrections to quantum effects are now in their sights?
> 
> The paper linked here in Nature Communications explains the upcoming problem -
> 
> https://www.nature.com/articles/s41467-020-18264-4
> 
> Unfortunately, my mathematical skills are not up to working out the magnitude 
> of any errors.
> 
> John 
> 
> 
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