Search for variability in Newton's constant using local gravitational acceleration measurements

Abstract

We analyze the IGETS based gravitational acceleration measurements to search for a variability in Newton's constant G, as a complement to the analysis carried out in [1]. To understand the variation in gravitational acceleration, we fit the aforementioned data to a constant model, two sinusoidal models, and a linear model. We find that none of the four models provide a good fit to the data, showing that there is no evidence for periodicity or linear temporal variation in the acceleration measurements. Based on the sinusoidal models, we infer that the relative variance of G is 2 × 10 −9 , which is about four orders of magnitude more stringent than the amplitude of periodic variations inferred from previous G measurements. From the linear model, we obtain Ġ G < 2.14 × 10 −10 yr −1 .

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].…”

Some Warnings About Quantum Space Gravimetry Enhance Earth Observations Project

“…Note that one has to make difference between measurements of the Newton constant G, and the measurements of the gravitational acceleration g at given place, since for them one needs quite different experimental equipment [4,5]. For search of time-variations of gravitational constant G see the recent paper [3] and the references therein.…”