Evidence for modified Newtonian dynamics from Cavendish-type gravitational constant experiments
File(s)
Accepted version
Author(s)
Klein, Norbert
Type
Journal Article
Abstract
Recent experimental results for the gravitational constant G from Cavendish-type experiments were analysed in the framework of Modified Newtonian Dynamics (MOND). MOND corrections were applied to the equation of motion of a pendulum, under the assumption that the magnitude of the horizontal time dependent gravitational acceleration determines the amount of MOND corrections. The large vertical component of the local gravitational field of the earth is fully compensated by the alignment of the torsion pendulum in accordance with Newton's third law and therefore not considered for MOND corrections. From the analysis of the MOND corrected equation of motion of a realistic torsion pendulum with mixed gravitational and electromagnetic restoring torque simple rules for meaningful MOND corrections of measured G values determined by different operational modes of Cavendish type G experiments were derived. Based on this analysis the reported discrepancies for G determined by "static deflection" and "electrostatic servo" methods of the "BIPM" experiment by Quinn et al. and between time-of-swing and angular acceleration feedback methods for the "HUST" experiment by Li et al. could be fully resolved by MOND corrections using one common MOND interpolation function, determined by a one parameter fit. The MOND corrected "BIPM" and "HUST" results, along with other "single method" results from G experiments by Gundlach and Merkovitz, Schlamminger et al. and Newman et al. lead to an average G value of 6.6742210-11 m3kg-1 s-2 with a standard deviation of 12.5 ppm only. The applied MOND correction procedure and the fitted interpolation function employed for the G experiments were found to be consistent with the most viable MOND fits to galaxy rotation curves.
Date Issued
2020-02-18
Date Acceptance
2020-01-16
Citation
Classical and Quantum Gravity, 2020, 37 (6), pp.1-21
ISSN
0264-9381
Publisher
IOP Publishing
Start Page
1
End Page
21
Journal / Book Title
Classical and Quantum Gravity
Volume
37
Issue
6
Copyright Statement
© 2019 IOP Publishing Ltd. As the Version of Record of this article is going to be/has been published on a subscription basis, this Accepted Manuscript will be available for reuse under a CC BY-NC-ND 3.0 licence after a 12 month embargo period.
Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, unless specifically stated otherwise in the figure caption of the Version of Record.
Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, unless specifically stated otherwise in the figure caption of the Version of Record.
Identifier
https://iopscience.iop.org/article/10.1088/1361-6382/ab6cab
Subjects
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status
Published online
Date Publish Online
2020-01-16