Parana Journal of Science and Education, vol.6, no.4, pp.89-92, 2020 (Peer-Reviewed Journal)
Recently, Takamoto et al. [Nat. Photonics (2020), https://doi.org/10.1038/s41566-020-0619-8] measured with a very high precision the time dilation at different altitudes by using two sophisticated optical lattice clocks respectively at the bottom and at the top floors of the Tokyo Skytree building. They concluded that general theory of relativity (GTR) successfully passed their test. We have yet to report that YARK (Yarman-Arik-Kholmetskii) theory of gravitation — whose total energy expression versus that of GTR was delineated in a previous submission [Yarman et al., PJSE (2018), https://sites.google.com/site/pjsciencea/2018/november-v-4-n-8] — passes the test just as easily when considering only the effect of gravity. That is to say, a precision of about 15,000 times more than the present one is needed to discern the difference between the predictions of the two theories under the given circumstances. We moreover have to add that the two theories in consideration are built on totally different frameworks. In particular, the time dilation in question is due to curvature in GTR, whereas it is due to just energy conservation embodying the mass and energy equivalence of the special theory of relativity (STR) in YARK.
AMS Subject Classification: 83D05, 83C15