Abstract
We focus on a fundamental issue about the physical meaning of the results of the experiment by Takamoto et al. (2020). Specifically, one must address the time dilation effect associated with the motion of the clocks around the self-rotational axis of Earth as seen by a remote observer free of such rotation. We accentuate the importance of taking into account this effect in the Tokyo Skytree experiment. This is especially relevant in the light of the results gathered from recent measurements of the Mössbauer effect in a rotating system.
Highlights
In the recent paper [1], the authors reported a new and precise test of general relativity (GR) with a pair of optical lattice clocks located at the bottom and top floors of the Tokyo Skytree broadcasting tower and separated by an altitude difference of h=452.6 meters
Where 2 1 is the frequency shift in clock 2 located at the top of the tower as compared to clock 1 located on the ground, g is the acceleration of free fall taken at half the tower height, g h U represents the difference between the gravitational potentials of clock 2 and clock 1 respectively, and c stands for the velocity of light in vacuum
We notice that the separate evaluation of the second order Doppler (SOD) contribution to the measured frequency shift of the clocks at different attitudes acquires an independent significance in the view of the experimental results [5,6,7,8], indicating the presence of an additional frequency shift in the measurement of the Mössbauer effect in a rotating system between a resonant source and a resonant absorber situated at different radial coordinates
Summary
In the recent paper [1], the authors reported a new and precise test of general relativity (GR) with a pair of optical lattice clocks located at the bottom and top floors of the Tokyo Skytree broadcasting tower and separated by an altitude difference of h=452.6 meters. We notice that the separate evaluation of the SOD contribution to the measured frequency shift of the clocks at different attitudes acquires an independent significance in the view of the experimental results [5,6,7,8], indicating the presence of an additional frequency shift (next to the shift due to the classical dilation of time) in the measurement of the Mössbauer effect in a rotating system between a resonant source and a resonant absorber situated at different radial coordinates The origin of such an extra energy shift (EES) between the lines of emission and absorption remains the topic of intensive discussions, where a consensus has not been reached up to now (see, e.g., [9,10,11,12,13,14,15,16,17,18,19]).
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