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

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In a recent work, Dai [1] searched for a variability in Newton’s constant G using the IGETS based gravitational acceleration measurements. However, this analysis, obtained from χ 2 minimization, did… Click to show full abstract

In a recent work, Dai [1] searched for a variability in Newton’s constant G using the IGETS based gravitational acceleration measurements. However, this analysis, obtained from χ 2 minimization, did not incorporate the errors in the gravitational acceleration measurements. We carry out a similar search with one major improvement, wherein we incorporate these aforementioned errors. To model any possible variation in the gravitational acceleration, we fit the data to four models: a constant value, two sinusoidal models, and finally, a linear model for the variation of gravitational acceleration. We find that none of the four models provides a good fit to the data, showing that there is no evidence for a periodicity or a linear temporal variation in the acceleration measurements. We then redid these analyses after accounting for an unknown intrinsic scatter. After this, we find that although a constant model is still favored over the sinusoidal models, the linear variation for G is marginally preferred over a constant value, using information theory-based methods.

Keywords: newton constant; gravitational acceleration; acceleration; acceleration measurements; variability newton; constant using

Journal Title: Classical and Quantum Gravity
Year Published: 2021

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