"'Mysteries' of Modern Physics and the Fundamental Constants c, h, and G" Wins Honorable Mention in Prestigious Essay Contest

In the 2021 Gravity Research Foundation essay contest, we further extended the relativity principle to the measurement of yet another fundamental constant of Nature, Newton’s gravitational constant G. Our essay won Honorable Mention and will be considered for publication in a special issue of International Journal of Modern Physics D dedicated to the winners of this prestigious essay contest. The mystery of modern physics that we resolved using the relativity principle in this essay resides in Einstein’s theory of gravity called general relativity, which predicts that observers in different locations in space can measure different values for the mass of one and the same object, i.e., the contextuality of mass. Thus, we have now shown how the relativity principle (no preferred reference frame, NPRF) applied to G dictates the contextuality of mass in general relativity and NPRF applied to Planck's constant h dictates quantum entanglement in quantum mechanics. These "mysteries" are in complete analogy to NPRF applied to the speed of light c that dictates the "mysteries" of time dilation and length contraction in special relativity. This is further evidence that Einstein (and others yet today) are wrong in believing that quantum entanglement means quantum mechanics is “incomplete.” Indeed, what our essay shows is that quantum mechanics is, ironically, as complete as Einstein’s own theories of modern physics, i.e., special and general relativity.