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The First Nuclear Clock Will Test if Fundamental Constants Change
(www.quantamagazine.org)
This is a most excellent place for technology news and articles.
More specifically to your example, we discovered that gravity isn't a force at all- it's a literal curvature of space-time caused by objects with mass, which is why its effects aren't constant.
Yes, but that model is late in the gravity game. We were toying with the two bodies experiment before heliocentrism, let alone higher-dimension curvature of space.