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Testing Verlinde's emergent gravity with the low acceleration gravitational anomaly observed in wide binary stars

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Title
Testing Verlinde's emergent gravity with the low acceleration gravitational anomaly observed in wide binary stars
Author(s)
Youngsub Yoon
Publication Date
2024-07
Journal
Physics of the Dark Universe, v.45
Publisher
Elsevier BV
Abstract
Recent binary orbit analysis by Chae, and independently by Hernandez shows the breakdown of Newtonian gravity in the weak gravity regime. Unlike the galaxy rotation curves, this result cannot be explained by dark matter as the scale concerned is much smaller than the galactic scale, which makes the gravitational acceleration contribution of the dark matter completely negligible. We propose to explain this binary orbit anomaly by Verlinde's emergent gravity by correcting a minor error in Verlinde's emergent gravity. We theoretically derive g2=gB2+gD2, which replaces Verlinde's g=gB+gD, where g is the total gravitational acceleration, gB is the usual Newtonian gravitational acceleration due to baryonic matter, and gD is what Verlinde calls gravitational acceleration due to “apparent dark matter.” This correction yields 1.29 for the Verlinde to Newton-predicted acceleration ratio, at the Newton-predicted acceleration gpred=10−10.00m/s2, for which Chae reported gobs/gpred=1.37−0.21+0.25 for the observed to Newton-predicted acceleration ratio at the same Newton-predicted acceleration. With our earlier successful fitting of galaxy rotation curves, our study provides the observational test of Verlinde's emergent gravity. © 2024 Elsevier B.V.
URI
https://pr.ibs.re.kr/handle/8788114/15470
DOI
10.1016/j.dark.2024.101551
ISSN
2212-6864
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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