Analysis of recent G experiments by a differential version of MOND theory

TL;DR

This paper explores a differential MOND theory to explain discrepancies in measured gravitational constant G, linking laboratory results with galaxy rotation curves through a novel approach to gravity and space-time curvature.

Contribution

It introduces a differential version of MOND theory where relative acceleration determines post Newtonian corrections, providing a new explanation for G measurement discrepancies.

Findings

Observed G discrepancy aligns with galaxy rotation curves.

Differential MOND explains gravity-induced space-time alterations.

Analysis suggests modifications to Newton's law at small accelerations.

Abstract

The discrepancy between two recently reported experimental values of the gravitational constant G was analysed within a differential version of MOND theory. In contrast to the most commonly accepted interpretation of MOND theory, it is assumed that only the relative gravitational acceleration between a test mass and an array of source masses determines the magnitude of post Newtonian corrections at small magnitudes of acceleration. The analysis was applied to one of the most recent Cavendish-type gravitational force experiments, which showed a significant deviation of the measured gravitational constant from the current CODATA value. A remarkable agreement between the observed G discrepancy and galaxy rotation curves was revealed by a consistent extrapolation within the framework of this model. The differential approach suggests that gravity-induced alterations of the space-time-curvature may define the magnitude of corrections to Newton's law.