An illustrated review of length and time measurements in gravity: Same Shapiro result through different authentic or alike pseudo-technical mechanisms in GTR and YARK

Abstract

Using illustrations that feature Earth (in blue) and a symbolic antichtonic celestial partner (the imaginary “Counter-Earth” at Lagrangian point 3 or L3 with a green color) in a circular orbit around the immobile Sun (in yellow), we present a clear understanding of how lengths and periods of time, hence velocities, get altered in gravity according to respectively the General Theory of Relativity (GTR) and the competing Yarman-Arik-Kholmetskii (YARK) Theory of Gravitation. We do this using a string of unique computer codes written under Wolfram's Mathematica in order to explain, among other things, the Shapiro time delay as per GTR and YARK --- yet, based on totally different philosophies. It will also be shown that, while leading to the same Shapiro result, any effort to vary local velocities while preserving proper lengths as a test particle traverses the gravitational pool of the given host star constitutes a surprisingly effective pseudo-technical oddity.PACs: 03.30.+p, 04.20.-q, 95.30.Sf, 98.62.SbKeywords: Lorentz contraction, length contraction, time dilation, clock retardation, General Relativity, YARK Theory of Gravitation, Shapiro time delay