Frequency ratio measurements at 18-digit accuracy using an optical clock network

Nature ◽  
2021 ◽  
Vol 591 (7851) ◽  
pp. 564-569
Author(s):  
2014 ◽  
Vol 113 (21) ◽  
Author(s):  
R. M. Godun ◽  
P. B. R. Nisbet-Jones ◽  
J. M. Jones ◽  
S. A. King ◽  
L. A. M. Johnson ◽  
...  

2020 ◽  
Author(s):  
Stefan Schröder ◽  
Anne Springer ◽  
Jürgen Kusche ◽  
Simon Stellmer

<p>Stationary optical clocks show fractional instabilities below 10<sup>-18</sup> when averaged over an hour, and continue to be improved in terms of precision and accuracy, uptime and transportability. The frequency of a clock is affected by the gravitational redshift, and thus depends on the local geopotential; a relative frequency change of 10<sup>-18</sup> corresponds to a geoid height change of about 1 cm. This effect could be exploited for sensing large-scale temporal geopotential changes via a network of clocks distributed at the Earth's surface. The CLOck NETwork Services (CLONETS) project aims to create an ensemble of optical clocks connected across Europe via optical fibre links.<br>A station network spread over Europe, which is already installed in parts, would enable us to determine temporal variations of the Earth's gravity field at time scales of days  and thus provide a new means for validating satellite missions such as GRACE-FO or potential Next Generation Gravity Missions. However, mass changes at the surface of an elastic Earth are accompanied by load-induced height changes, and clocks are sensitive to non-loading e.g. tectonic height changes as well. As a result, local and global mass redistribution as well as local height change will be entangled in clock readings, and very precise  GNSS measurements will be required to separate them.<br>Here, we show through simulations how ice (glacier mass imbalance), hydrology (water storage) and atmosphere (dry and wet air mass) signals over Europe could be observed with the currently proposed/established clock network geometry and how potential extensions can benefit this observability. The importance of collocated GNSS receivers is demonstrated for the sake of signal separation.</p>


2020 ◽  
Vol 4 ◽  
pp. 83-90
Author(s):  
Andrey Kanaev ◽  
◽  
Maria Sakharova ◽  
Evgeny Oparin ◽  

This article provides a simulation model of the process of functioning and restoration of a network clock network (CNS), which is distinguished by the completeness of accounting for the states of the process of functioning of the CNS network. The key indicator of the process of functioning of the CNS network is the duration of the control cycle of the CNS network, which is understood as the time from the moment a failure occurs on the CNS network until the moment the mode of transmission of synchronization signals is restored. On the basis of the developed simulation model of the process of functioning and restoration of the CNS network, the duration of the control cycle of the CNS network is estimated depending on the time spent in individual states of the process of functioning of the TSS network and on the characteristics of individual subsystems of the CNS system. The results obtained can serve as a basis for developing sound strategies and plans for managing the CNS network.


2020 ◽  
Vol 6 (4) ◽  
pp. 410-430
Author(s):  
JOHN BIGELOW ◽  
MARTIN LECKEY

AbstractThe four frescoes by Raphael in the Stanza della Segnatura in the Vatican Museum visually embody close approximations of several numerical ratios that are of deep significance in the material grounding of musical harmonies in the physics of natural harmonics. Of special significance is the Pythagorean musical frequency ratio of 9:8, the (discordant) whole tone interval, which in Plato's Timaeus is called the epogdoôn (‘and an eighth’).


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