[time-nuts] Re: Project Great

[Tom Van Baak]

For newcomers to time-nuts, Andy is asking about my DIY gravitational 
time dilation experiment(s).

 > What am I missing?

It looks like you used the wrong value (or wrong units) for "h".

The summit of Mt Rainier is 14411 ft (4400 m), but the highest point on 
Mt Rainier that is accessible by road is the Paradise visitors center at 
5400 ft. Our house is at 1000 ft elevation so the net difference in 
elevation of the clocks was 4400 ft (1340 m).

The clock(s) on the mountain ran fast by gh/c² = 9.8 × 1340 / (3e8)² = 
1.5e-13. Fast clocks gain time. We stayed for about 42 hours so the net 
time dilation was 42×3600 × gh/c² = 22 ns.

----

For more information see the Project G.R.E.A.T. 2005 page:

http://leapsecond.com/great2005/

Better yet, these two recent talks from 2018 and 2020 cover all 3 GREAT 
experiments:

<http://web.stanford.edu/group/scpnt/pnt/PNT18/presentation_files/I08-VanBaak-GPS_Flying_Clocks_and_Relativity.pdf>

<http://leapsecond.com/ptti2020/2020-PTTI-tvb-Atomic-Timekeeping-Hobby.pdf>

Lots of time nutty photos in both of those!

/tvb


On 11/27/2021 7:33 AM, Andy Talbot wrote:
> Just been reading your adventures with 3 Cs clocks, a mountain and 3 kids,
> but I can't make the estimate of time dilation work out.
> You measured ~ 23ns and say it agrees with calculation
>
> The equation quoted in a related reference, for "low elevations" is  g.h/c²
> which if you plug in g = 9.81 m/s²  and h = 4300m for Mt Rainer gives an
> expected value of 4.7 * 10^-16.
> Over 2 days, 2 * 86400s, that would be 81 ns in total, four times your value
>
> What am I missing?
>
> Was just speculating what Ben Nevis at a mere 1340m height might offer
>
> Andy
> www.g4jnt.com
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