Comment on "Test of general relativity by a pair of transportable optical lattice clocks" by Takamoto et al.: YARK theory’s quantum mechanically induced time dilation in gravity versus Einsteinean clock retardation due to curvature

Abstract

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 latticeclocks respectively at the bottom and at the top floors of the Tokyo Skytree building. They concluded that general theoryof relativity (GTR) successfully passed their test. We have yet to report that YARK (Yarman-Arik-Kholmetskii) theoryof gravitation — whose total energy expression versus that of GTR was delineated in a previous submission [Yarmanet 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 15,000times more than the present one is needed to discern the difference between the predictions of the two theoriesunder the given circumstances. We moreover have to add that the two theories in consideration are built on totallydifferent frameworks. In particular, the time dilation in question is due to curvature in GTR, whereas it is due to justenergy conservation embodying the mass and energy equivalence of the special theory of relativity (STR) in YARK.AMS Subject Classification: 83D05, 83C15