Variance of Newtonian constant from local gravitational acceleration measurements

Abstract

We use IGETS absolute gravitational acceleration measurement data to study the gravitational acceleration variance. The relative variance of δg/g in 22 years is less than 4 × 10 −8 . Since δG/G δg/g, this implies the relative variance of Newtonian constant is less than 3 × 10 −9 based on an sinelike oscillation hypothesis. This limit is at least 4 orders of magnitude better than the existing G measurements. The scattered values of reported G measurements coming from different experiments are most probably coming from systematic errors associated with these experiments and not due to intrinsic time variation of G. We also find that Ġ/G < 5.61 × 10 −10 yr −1 based on a linear hypothesis. This is the best terrestrial result so far.

Nonlocal Gravity: Modification of Newtonian Gravitational Force in the Solar System

“…where L P = ( G/c 3 ) 1/2 ≈ 10 −33 cm is the Planck length. Meanwhile, terrestrial experiments regarding Newton's law and the measurement of Newton's constant of gravitation G continue at present [31,32]. On the other hand, interesting experiments have been proposed recently to measure directly deviations from the inverse square law of gravity in the solar system out to 100 astronomical units (AU) and beyond [33][34][35][36].…”